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About Paul Klarreich
(Top Expert on this page)

Expertise
All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

Experience
I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

Education/Credentials
(See above.)

   

You are here:  Experts > Teens > Homework/Study Tips > Calculus

Questions Answered By Expert  Paul Klarreich 
In Category  Calculus

SubjectDate Asked

Lim sin x/x11/21/2009
  Q: sir I have a mathmetical problem in limit and continuty in calculas. so i'd be greatful to you for ...
  A: Lim x→0 {(sinx°)/x} =? ANSWER: Questioner: akkha Country: Nepal Category: Calculus ...
curve sketching11/19/2009
  Q: Find the following: x and y intercepts, extremas, inlfection points and sketch for the function ...
  A: Questioner: sangita Country: Trinidad and Tobago Category: Calculus Private: Yes Subject: curve ...
Maximum-minimum problem11/19/2009
  Q: "An oil can is to be made in the form of a right circular cylinder to hold one quart of oil. What ...
  A: Questioner: Ann Country: United States Category: Calculus Private: No Subject: Max./Min ...
maximizing revenue11/19/2009
  Q: Demand for a good is given by P=100*e^(0.00125X) ($p/unit, x units/month) Determine ...
  A: Questioner: Terry Country: Canada Category: Calculus Private: No Subject: calculus, maximizing ...
Help Derivatives11/18/2009
  Q: Please help me find the intervals of f(x) increasing, the interval of f(x) decreasing and local ...
  A: Questioner: Vickkie Country: United States Category: Calculus Private: Yes Subject: Help ...
mathmetical problem11/18/2009
  Q: sir I have a mathmetical problem in limit and continuty in calculas. so i'd be greatful to you for ...
  A: Questioner: akkha Country: Nepal Category: Calculus Private: No Subject: mathmetical problemsir ...
Double Angle Formulas11/17/2009
  Q: can you please help me in this question? It says prove: cos^2theta = 1/2 + 1/2cos2theta Thanks
  A: Questioner: Rabia Country: Canada Category: Calculus Private: No Subject: Double Angle ...
Tangent lines10/14/2009
  Q: f(x)=x^2+3e^x, at Q(1,1+3e)
  A: Questioner: jen Country: Canada Category: Calculus Private: No Subject: Find the equation of the ...
Double integrals10/13/2009
  Q: the double integral of x^3sin(y^3)dydx (the first integral is between 1 and 0 and the second ...
  A: sorry the integral was: {1 {1 | | x^3sin(y^3) dy dx }0 }x^2 i just wanted to see if i am on ...
sine and cosine waves10/12/2009
  Q: Here's some background information for the problem: One day w decide to go to six flags. They ...
  A: Questioner: nicolette Country: United States Category: Calculus Private: No Subject: Pre ...
Definition of the derivative10/12/2009
  Q: Find the derivative of 8/√(x-2) using the definition of a derivative. I have attempted this ...
  A: Questioner: Davis Country: United States Category: Calculus Private: No Subject: Finding ...
Three dimensional geometry10/10/2009
  Q: i've some questions regarding to cal. 3 1- Find an equation of the sphere that passes through the ...
  A: Questioner: meme Country: Qatar Category: Calculus Private: No Subject: cal. IIIhi i've some ...
binomial theorem10/10/2009
  Q: find the coefficient of the term independent of x in the expansion (1+x+2x^3)(3/2x^2-1/3x)^9 also ...
  A: Questioner: Sneha Country: India Category: Calculus Private: No Subject: binomial theoremfind ...
Analysis10/10/2009
  Q: I can not understand why you have written | 3x - 6 | < e 2 | x - 2 | < e | x - 2 | < e/2 Am ...
  A: Questioner: Dan Country: Australia Category: Calculus Private: No Subject: AnalysisI can not ...
Integration by parts.10/9/2009
  Q: ∫ x^n e^x dx= x^n e^x - n∫x^n-1 e^x dx Prove:? Then use the above to evaluate: ...
  A: Questioner: Dolly Country: United States Category: Calculus Private: No Subject: Calculus. ...
Integration by parts.10/9/2009
  Q: Use integration by parts to prove the reduction formula: ∫(lnx)^n dx= x(lnx)^n - ...
  A: Questioner: Dolly Country: United States Category: Calculus Private: No Subject: CalculusUse ...
Basic derivatives10/9/2009
  Q: I cant figure out these problems. They are due by midnight thursday october 8th ithink! help 1. ...
  A: i have one more i just cant figure out Suppose u(t)=w(t^2+4) and w'(5)=10. Find u'(1)? Your ...
Basic derivatives10/8/2009
  Q: I cant figure out these problems. They are due by midnight thursday october 8th ithink! help 1. ...
  A: Questioner: Melina Country: United States Category: Calculus Private: No Subject: derivativesI ...
Continuous functions10/8/2009
  Q: find the number c that makes f(x) into: 1. a continuous function 2. a differentiable function in ...
  A: Questioner: masood khan Country: Pakistan Category: Calculus Private: No Subject: calculasfind ...
Calculating limits using the limit laws.10/8/2009
  Q: I need to find the limit as x approaches 9 from the left side. I am having troubles understand how ...
  A: Questioner: Kaitlyn Country: Canada Category: Calculus Private: No Subject: Calculating limits ...
Second derivative-- parameter10/7/2009
  Q: I need help in finding the proof of second derivative that is (d^2)y/d(x^2)=(dy'/dt)/(dx/dt) if ...
  A: Questioner: Amelia Country: United States Category: Calculus Private: No Subject: find the proof ...
Differentiation rules10/7/2009
  Q: Can you help me work through this expression? Thanks Suppose that f (x) = sqrt (5x+1)/(4x^2+1) ...
  A: Questioner: mikel Country: United States Category: Calculus Private: No Subject: ...
Tangent lines10/7/2009
  Q: Find equations of the tangent lines to the curve below that are parallel to the line x - 5y = 5. y = ...
  A: Questioner: Nicole Country: United States Category: Calculus Private: Yes <<<< CHANGED. Subject: ...
Double integrals10/6/2009
  Q: the double integral of x^3sin(y^3)dydx (the first integral is between 1 and 0 and the second ...
  A: Questioner: Olivia Category: Calculus Private: no Subject: double integralsthe double ...
Definition of the derivative10/5/2009
  Q: Exercise 18. Suppose that each of g and h is a function with domain all numbers and f is the ...
  A: Questioner: waqas Country: Pakistan <<<<< Huh??? You forgot where you live? Category: Calculus ...
Definition of the derivative10/5/2009
  Q: Suppose that g is a function with domain all numbers so that g′ also has domain all numbers. ...
  A: Questioner: waqas Country: Australia Category: Calculus Private: No Subject: Calculas << watch ...
Limits10/5/2009
  Q: Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). limit as x ...
  A: Questioner: Patty Country: United States Category: Calculus Private: No Subject: ...
Limit proofs - delta-epsilon10/4/2009
  Q: plz solve this for me Using the formal epsilon − delta definition of derivative, show that ...
  A: i did not understand after that "u can now write the proof" i mean how this proofs that x^2sinx=0 ...
Integration methods.10/2/2009
  Q: I am trying to find the indefinite integral of {x^(1/3)-x^(-1/3)}dx. I got an answer of ...
  A: Questioner: Libby Country: Singapore Category: Calculus Private: No Subject: Indefinite ...
Area between two curves.10/1/2009
  Q: I am working in Calculus 2 on the applications of integration. It deals with finding the ...
  A: Questioner: Andrew Prusack Country: United States Category: Calculus Private: No Subject: ...
Function notation9/30/2009
  Q: p(1+5x) = 6/(2-3x). What is p(x)?
  A: Questioner: Jane Country: United States Category: Calculus Private: No Subject: Functionsp(1+5x) ...
Limit proofs - delta-epsilon9/29/2009
  Q: plz solve this for me Using the formal epsilon − delta definition of derivative, show that ...
  A: Questioner: waqas Country: Australia Category: Calculus Private: No Subject: Epsilon Delta ...
Trigonometric equations9/28/2009
  Q: Mr. Klarreich, I appreciate the help you've given to others and was hoping you could answer a two ...
  A: Questioner: Francis Country: Canada Category: Calculus Private: No Subject: TrigonometryMr. ...
Maximum-minimum problems9/28/2009
  Q: A rectangle is bounded by the y-axis and the equation (y/8)^2=-x+7. Write the area of the rectangle ...
  A: Sorry about the picture -- I do this all the time; make the picture (it's beautiful) and then forget ...
Rectangle bounded by y-axis9/27/2009
  Q: A rectangle is bounded by the y-axis and the equation (y/8)^2=-x+7. Write the area of the rectangle ...
  A: Questioner: Michael Country: United States Category: Calculus Private: No Subject: Rectangle ...
Definition of the derivative9/26/2009
  Q: I want to write a proof for the derivative of x^n as n*x^n-1 with the binomial theorem my work: ...
  A: Ok so this is what I tried to deduce r-x= r-x = (r-x) * (r^(n-1)x^0*x^(n-1)r^0 r^2 - x^2 = (r - x)(r ...
Triangle inequality9/25/2009
  Q: . i kinda understand the proof for |x + y| <= |x| + |y|, but for my homework answers which were ...
  A: Questioner: momo Country: Singapore Category: Calculus Private: No Subject: triangle ...
Definition of the derivative9/25/2009
  Q: I want to write a proof for the derivative of x^n as n*x^n-1 with the binomial theorem my work: ...
  A: How can I factor r^n-x^n / r-x ? I thought you would get that -- perhaps you gave up too quickly, ...
Maximum-minimum problems9/25/2009
  Q: A rectangle is bound by the x-axis and a semicircle with the domain [-3,3]. Write the area A of the ...
  A: Questioner: Zach Country: United States Category: Calculus Private: No Subject: calculusA ...
Definition of the derivative9/24/2009
  Q: I want to write a proof for the derivative of x^n as n*x^n-1 with the binomial theorem my work: ...
  A: Questioner: Hamad Country: Kuwait Category: Calculus Private: No Subject: d/dx(x^n) proof with ...
limits9/23/2009
  Q: Could you please tell me how to find the limit of 1-cosx^4 over x^8 when x is approaching zero? ...
  A: Questioner: Jessica Category: Calculus Private: no Subject: limitsCould you please tell me ...
Maximum-minimum problems9/23/2009
  Q: Which points on the curve xy^2=1 are closest to the origin?
  A: Questioner: Matt Country: United States Category: Calculus Private: No Subject: Points on a ...
Improper integral9/21/2009
  Q: I have tried IBP, substitutions, and z substitutions and I just can not figure this one out. I found ...
  A: I don't think you need the squeeze theorem, but you do need some stuff about infinite series. ...
Slope of tangent line9/20/2009
  Q: For f(x)= 3x^3+4x^2-6x+10, Find the equation of the tangent line or lines parallel to 3x-4y+10=0.I ...
  A: Questioner: Rick Country: United States Category: Calculus Private: No Subject: slopes of ...
Integral Reduction Formulas9/19/2009
  Q: I need help solving these two equations that I'm stuck on. Please try to show all the steps you go ...
  A: Questioner: Paul Dunner Country: United States Category: Calculus Private: No Subject: Reduction ...
Improper integral9/19/2009
  Q: I have tried IBP, substitutions, and z substitutions and I just can not figure this one out. I found ...
  A: Questioner: Mark Country: United States Category: Calculus Private: No Subject: IntegrationI ...
Rate-time-distance problem9/18/2009
  Q: A ship is moving at a speed of 40 km/h parallel to a straight shoreline. The ship is 4 km from shore ...
  A: Questioner: Sarah Country: United States Category: Calculus Private: No Subject: HELP! MATH!A ...
Summations - telescoping9/17/2009
  Q: 100 SUM ( 1/(i+4) - 1/(i+5) ) i=25 please help me solve this question. I am confused since there ...
  A: Questioner: Andrew Country: Ghana Category: Calculus Private: No Subject: Calculus ...
Graph sketching.9/17/2009
  Q: I was given an assignment and would really appreciate if you can help me with this question. Find ...
  A: Questioner: Stella Country: Singapore Category: Calculus Private: No Subject: Finding the ...
Basic substitution.9/16/2009
  Q: Find The Functions f(g(x)), g(f(x)), f(f(x)), g(g(x)) and their domains. f(x)=2x^2-x g(x)= 3x+2
  A: Questioner: patty Country: United States Category: Calculus Private: No Subject: calculusFind ...
Limits9/13/2009
  Q: im just asking for clarification if you have lim x approaching infinity (x.tan(1/x)) and you l ...
  A: Of course it is. 1 Indeed, 1 * - = 1 1 Sorry about that. And, yes, ...
Limits9/12/2009
  Q: im just asking for clarification if you have lim x approaching infinity (x.tan(1/x)) and you l ...
  A: Questioner: Aaron Country: United States Category: Calculus Private: No Subject: Calculus BC ...
Domain and Range9/10/2009
  Q: I got a question for you, may you help me? I need to know usages of function f(x) = ln(x) whose use ...
  A: Questioner: Gaston Country: Argentina Category: Calculus Private: No Subject: Domain and Image ...
Difference quotient9/10/2009
  Q: All my attempts to solve this problem have failed so I hope you can assist me. If f(x) = x^3, ...
  A: Questioner: Ntokozo Country: Canada Category: Calculus Private: No Subject: Calculus ...
Continuous functions9/8/2009
  Q: I was wondering if you can explain to me how does one know if a function is defined? My professor ...
  A: Questioner: Dyanne Country: United States Category: Calculus Private: No Subject: Survey of ...
Maximum-minimum problems9/8/2009
  Q: A movie screen on a wall is 20ft high and 10ft above the floor. At what distance x from the front of ...
  A: Questioner: Patrick Country: United States Category: Calculus Private: No Subject: Optimization ...
An indefinite integration9/7/2009
  Q: I have the function x^4(3x^5+4)^7, and need to find the indefinite integral of this function. I ...
  A: Questioner: Alec Country: United States Category: Calculus Private: No Subject: An indefinite ...
functions and absolute value9/7/2009
  Q: How is the graph of y = f(abs(x)) related to the graph of f?
  A: Questioner: Maria Country: United States Category: Calculus Private: No Subject: functions and ...
Related rates9/7/2009
  Q: As a car transverses a viaduct at the rate of 40 ft/sec, another traveling at a speed of 80 ft/sec ...
  A: Questioner: Erwin Category: Calculus Private: No Subject: time ratesAs a car transverses a ...
Absolute value function9/5/2009
  Q: I am asked to find the definite integral of |x|/x -1<=x<=8 The book answ is 7 I find 9 Not sure ...
  A: Questioner: Mark Country: United States Category: Calculus Private: No Subject: Integral of |x|I ...
Exponential growth function9/3/2009
  Q: How do you figure out: Q(t) - 410e^0.0035t where t is measured in minutes a)what quantity is ...
  A: Questioner: Sally Country: United States Category: Calculus Private: No Subject: Exponential ...
Area of a triangle.9/1/2009
  Q: For any t > or = to 0, let A(t) be the area of the right triangle bounded above by the line y=x, ...
  A: Questioner: Jeff Country: United States Category: Calculus Private: No Subject: Summer AP Calc ...
Limit law proof problem8/30/2009
  Q: =) I have a problem with the limit laws in Calculus. I don't understand one point in the product ...
  A: Questioner: Jonne Country: Finland Category: Calculus Private: No Subject: Limit law proof ...
Maclaurin series expansion8/30/2009
  Q: Using the Maclaurin series expansion of e^x a)determine the Maclaurin series expansion fo x/(e^x-1) ...
  A: i understand up to here: 1 ---------------------------------- 1 + x/2! + x^2/3! + ...
Maclaurin series expansion8/29/2009
  Q: Using the Maclaurin series expansion of e^x a)determine the Maclaurin series expansion fo x/(e^x-1) ...
  A: Questioner: Liv Country: Australia Category: Calculus Private: No Subject: Maclaurin series ...
Finding a derivative8/28/2009
  Q: Yeah, right. Please disregard my previous question. Please confirm if this is correct. If ...
  A: Questioner: Libby Country: Singapore Category: Calculus Private: No Subject: Finding a ...
Maximum-minimum problems8/27/2009
  Q: Given a 8.5x11 sheet of paper i cut off 2 inches squares out of the corners giving me the dimensions ...
  A: Questioner: Annie Country: United States Category: Calculus Private: Yes <<< Don't do this. ...
Differential equation8/27/2009
  Q: How do i go about finding the general solution to dy/dx=2cosxe^(2/3sinx)y^2/3 giving solution in ...
  A: Questioner: Don Country: United Kingdom Category: Calculus Private: No Subject: CalculusHow do i ...
Finding Derivatives8/27/2009
  Q: I'm in Calculus 1, and I'm just learning to find derivitives. I came across the following problem: ...
  A: Questioner: Rebecca Country: United States Category: Calculus Private: No Subject: Finding ...
Binomial expansion - infinite8/26/2009
  Q: What is the Maclaurin series for (1+x)^n also known as binomial series? Can you derive that ...
  A: Questioner: katia Country: United States Category: Calculus Private: No Subject: MathHi Paul, ...
tangent lines8/25/2009
  Q: can you find the slope of the tangent line on the curve at a given point. y=3x^2-4 : (-1,-1) ...
  A: Questioner: sean Country: United States Category: Calculus Private: No Subject: tangent linescan ...
Integration methods.8/24/2009
  Q: I am a senior in AP Calculus BC and I am doing my summer assignment. I got stuck on this problem ...
  A: Questioner: Courtney Country: United States Category: Calculus Private: No Subject: Indefinite ...
Maximum-minimum cylinder8/23/2009
  Q: the problem is as follows: I need to design a can for a sports drink that will minimize the amount ...
  A: Questioner: Jake Country: United States Category: Calculus Private: No Subject: calculus ...
Function notation8/21/2009
  Q: "I have five questions for you. I am in the process of taking pre calculus, but cannot find the ...
  A: Questioner: Hayley Country: United States Category: Calculus Private: No Subject: Pre ...
partial derivatives8/21/2009
  Q: Show that if z=x^nf(u), where u=y/x, then x∂z/∂x + y∂z/∂y = nz
  A: Questioner: CW Country: Singapore Category: Calculus Private: No Subject: CalculusShow that if ...
Area under a curve.8/20/2009
  Q: integrate the square root of 16-x^2 dx from -4 to 4 and x=4sin u
  A: Questioner: Anna Country: South Africa Category: Calculus Private: No Subject: Integration by ...
Function notation8/20/2009
  Q: I have an assignment for class and it requires me to answer the followingSolve the following: (a) ...
  A: Questioner: Sana Country: Canada Category: Calculus Private: No Subject: CalculusHi, I have an ...
Integration methods.8/19/2009
  Q: Integral x^3.e^(x/3)dx Intergral 2x-5/((x-2)(2x+1) dx Integral 2/(square-root(20-x^2) dx ...
  A: Questioner: min nyo Country: Australia Category: Calculus Private: No Subject: need help with ...
Integration methods.8/18/2009
  Q: Find ∫(1/(e^x+ 4[e]^(-x) )dx, by means of the substitution u=e^x, followed by another ...
  A: Questioner: Steven Category: Calculus Private: No Subject: Maths - Integration by SubtitionsFind ...
Maximum-minimum problems8/18/2009
  Q: A track 400m in length is to enclose a rectangular playing fiel. If the curved portions of the track ...
  A: Questioner: Tim Private: no Subject:A track 400m in length is to enclose a rectangular playing ...
Limits of Improper Integral8/16/2009
  Q: I was asked only to integrate the integral. However I want to take one step further & determine if ...
  A: OK, your integral integrates to: 2sqrt(1 + ln x) + ln([sqrt(1 + ln x) - 1]/[sqrt(1 + ln x) + 1]) ...
Max Min problem correction8/15/2009
  Q: Klarreich Regarding the question that was posted on a max and min problem, i am slightly confused ...
  A: Questioner: hindude Country: United States Category: Calculus Private: No Subject: Max Min ...
Partial fractions8/14/2009
  Q: Please evaluate the integral of x - 1/x(x + 5) dx using the partial fractions method.. thankyou
  A: Questioner: heather Country: Papua New Guinea Category: Calculus Private: Yes << DON'T DO THIS. ...
Foundations8/13/2009
  Q: proof that one upon zero is equal to infinity?
  A: Questioner: abrar ahmed Country: Pakistan Category: Calculus Private: No Subject: mathproof that ...
Integral with variable boundary.8/12/2009
  Q: I'm having trouble with this integral, because I'm not sure what do do since the upper limit is a ...
  A: Questioner: Amy Country: United States Category: Calculus Private: No Subject: Calculus- ...
Tangent lines8/11/2009
  Q: Please explain it so I understand The curve y=ax^2 + bx+c passes through the point (1,6). The ...
  A: Questioner: elle santy Country: Australia Category: Calculus Private: No Subject: calculusPlease ...
maths8/10/2009
  Q: Integral and solution please? i have been asked to use g'(x)= 1/38(2-3sinx-2sin^2*x)exp(2/3sinx) and ...
  A: Questioner: jaymin patel Country: United Kingdom Category: Calculus Private: No Subject: ...
Maximum-minimum problems8/10/2009
  Q: I'm trying to teach myself calculus over the summer and am having a tough time with this question ...
  A: Questioner: James Category: Calculus Private: no Subject: Calculus- Minimum QuestionHi ...
Maximization in two dimensions.8/7/2009
  Q: I'm not sure how to set up the following word problem. I know that once I've got an appropriate ...
  A: Questioner: Drew Country: United States Category: Calculus Private: No Subject: volume ...
Parametric & Exponential equations.8/6/2009
  Q: I'm studying calculus ABC, and the section would be functions & logarithms & parametric equations. ...
  A: Questioner: Jaye Country: United States Category: Calculus Private: No Subject: Parametric & ...
Implicit differentiation.8/5/2009
  Q: find dy/dx by implicit differentation... x+ln y=x^2y^6
  A: Questioner: Clint Country: United States Category: Calculus Private: No Subject: calculus with ...
e8/5/2009
  Q: good morning how are you ? what is the information about the number e
  A: Questioner: kalledalhamed Country: Syrian Arab Republic Category: Calculus Private: No Subject: ...
Related rates8/4/2009
  Q: Water is being collected from a block of ice with a square base. The water is produced because the ...
  A: Questioner: Evan Country: United States Category: Calculus Private: No Subject: Calculus ...
Basic derivative applications8/3/2009
  Q: I am in Calculus 131 in MIddlesex County College. 4 Calculus Questions that I do not understand. Can ...
  A: Questioner: Anil Country: United States Category: Calculus Private: No Subject: 4 Hard Calc ...
Parametric equations. Second Derivative8/2/2009
  Q: I disagree with the books final answer. The books answer is 2/e^t(cos t - sin t) I belive the answer ...
  A: Questioner: Mark Country: United States Category: Calculus Private: No Subject: Parametric ...
Implicit differentiation.7/31/2009
  Q: A curve has equation(x+1)^2 (y+2)sin x+(x+1)(y+2)^2cos x=4.Show that the curve passes through (0,0) ...
  A: Questioner: Lucilla Joyce Country: Norway Category: Calculus Private: No Subject: ...
Integration of Sec(x)dx7/30/2009
  Q: I have a question about the Integration of Sec(x)dx which is: ln|sec(x)+tan(x)| sec(x)=sec(-x) for ...
  A: Questioner: jan Country: Netherlands Category: Calculus Private: No Subject: Integration of ...
Related rates7/30/2009
  Q: I was helping this person with a question on Yahoo! Answers: Water is flowing into a hemispherical ...
  A: Questioner: Jason Country: United States Category: Calculus Private: No Subject: Help with this ...
Integration methods.7/27/2009
  Q: Can you tell me, can i use integration by part or u sub for 2secX/2+tanX, or both, i cant find ...
  A: Questioner: Dave Country: United Kingdom Category: Calculus Private: No Subject: integrationCan ...
Convergence of series7/27/2009
  Q: Let the sum of 'a sub n' from n=1 to infinity be a real series that converges. Which of the ...
  A: Questioner: Jason Country: United States Category: Calculus Private: No Subject: ConvergenceLet ...
Maximum-minimum problems7/26/2009
  Q: A small business uses a minivan to make deliveries. The cost per hour for fuel is F= (v^2) / 360, ...
  A: Questioner: Robert Country: United States Category: Calculus Private: No Subject: Minimum Cost ...
Trigonometric equation,phase angle7/26/2009
  Q: I'm taking CIE A LEVEL MATHEMATICS and this question is in the pure mathematics trigonometry topic. ...
  A: Questioner: Warm Country: China Category: Calculus Private: No Subject: Double angleI'm taking ...
Integration methods.7/25/2009
  Q: can you help me integrate (arctan x)/1+x^2? I would be most pleased, I have f(x)=arctan x ...
  A: Questioner: Dave Country: United Kingdom Category: Calculus Private: No Subject: integrationcan ...
Differential of a function7/25/2009
  Q: It has been a LONG time since I have done this stuff. Can you walk me thru how to do this please? ...
  A: Suppose f and g are both discontinuous at a. Is the sum of f+g necessarily discontinuous at a? ...
Differential of a function7/24/2009
  Q: It has been a LONG time since I have done this stuff. Can you walk me thru how to do this please? ...
  A: Questioner: Callie Country: United States Category: Calculus Private: No Subject: Differential ...
integral7/21/2009
  Q: what is the integration of e^2x * cos-1 x
  A: Questioner: satish Country: India Category: Calculus Private: No Subject: integral ...
Integration methods.7/21/2009
  Q: Integrate from 0 to -3 the function [4t (dt)]/(1 - t)^(1/2)
  A: Questioner: Elaine Country: United States Category: Calculus Private: No Subject: ...
math - please help7/9/2009
  Q: Team currently has 172 stars. We need 560 to achieve a team goal. I am in NZ it is now 10th July, ...
  A: Questioner: Tim Country: New Zealand Category: Calculus Private: Yes Subject: math - ...
Graph sketching.7/1/2009
  Q: I'm having a hard time figuring out this problem... X^2/1-x... trying to find the relative max and ...
  A: Questioner: Brandon Country: United States Category: Calculus Private: No Subject: ...
Calculus6/21/2009
  Q: What are the values of C_0 and C_1 in d(t) = C_1 + C_0 t - 16t^2, if d(1) = 4 and v(2) = -65? A) ...
  A: Questioner: Blanca Country: United States Category: Calculus Private: No Subject: ...
HELP IN CALCULUS6/21/2009
  Q: Mathematically, what is a differential? A) A gear box on the back end of your car. B) A word used a ...
  A: Questioner: Blanca Country: United States Category: Calculus Private: No Subject: HELP ...
Trigonometric functions6/20/2009
  Q: answering these problems. I believe they have to be verified using the pythagorean identities (i ...
  A: Questioner: Veronica Country: Philippines Category: Calculus Private: No Subject: ...
The standard distribution6/17/2009
  Q: I don't know what catergory to ask this in but I cannot figure out how to do this statistical ...
  A: Questioner: Jordan Country: United States Category: Calculus Private: No Subject: ...
Integration_Calculus6/14/2009
  Q: I'm stuck on this integral: (from -infinity to infinity) | e^(isx).ln[(e^2x + e^x + 1)/(e^2x - e^x ...
  A: Questioner: Siva Country: United Kingdom Category: Calculus Private: No Subject: ...
Max/Min Problem6/14/2009
  Q: Greetings, I really don't understand how to do this problem. If you could possibly do this problem ...
  A: Questioner: Michael Country: United States Category: Calculus Private: No Subject: ...
Arc Length of Parametric Curve6/9/2009
  Q: I am asked to find the arc length of the parametric curve x=2sin(t) & y=cos(2t) 0<=t<=pi/3 I ...
  A: x=2sin(t) & y=cos(2t) 0<=t<=pi/3 ds = sqrt( dx^2 + dy^2) dx = 2 cos t dt dy = - 2 sin(2t) dt ds ...
Differential equation5/12/2009
  Q: The suspension in a car acts like damped harmonic oscillator,that is the oscillations in the ...
  A: Questioner: mike Country: Australia Category: Calculus Private: No Subject: differential ...
Implicit differentiation5/11/2009
  Q: Can you please help me with this problem, Use implicit differentiation to show that the equation of ...
  A: Questioner: Mario Hernandez Country: United States Category: Calculus Private: No ...
Chain rule5/9/2009
  Q: I am trying to solve find the derivative of arccos ((1-x)/(1+x)) I can not solve this. Could you ...
  A: Questioner: Ignacio Country: Spain Category: Calculus Private: No ---------- FOLLOW-UP ...
Chain rule5/8/2009
  Q: I am trying to solve find the derivative of arccos ((1-x)/(1+x)) I can not solve this. Could you ...
  A: Questioner: Ignacio Country: Spain Category: Calculus Private: No ---------- FOLLOW-UP ...
Chain rule5/8/2009
  Q: I am trying to solve find the derivative of arccos ((1-x)/(1+x)) I can not solve this. Could you ...
  A: Questioner: Ignacio Country: Spain Category: Calculus Private: No Subject: Inverse ...
Perpendicular lines5/6/2009
  Q: consider line: 2x+y+4=0 find the equation of line perpendicular to above line, passing through ...
  A: Questioner: olivia Country: United States Category: Calculus Private: No Subject: calc ...
The Probability Integral5/6/2009
  Q: Paul, I have a question on integration, but I could not solve it, not my maths school teacher, no ...
  A: Questioner: MOHIT Country: India Category: Calculus Private: No Subject: A typical ...
Angles of any size.5/5/2009
  Q: What angle is between 0 degrees and 360 degrees and coterminal to 1527 degrees? In which quadrant ...
  A: Questioner: karen Country: United States Category: Calculus Private: No Subject: ...
Limits at infinity.5/4/2009
  Q: piecewise function is: f(x)= (4/(e^x-1) if x<=1 sqrt(3x^2+1)/(x-2) if x>1 a) ...
  A: Questioner: ray Country: United States Category: Calculus Private: No Subject: ...
Area under a curve.5/2/2009
  Q: An arched window with base width 2b and height h is set into a wall. The arch is to be either an arc ...
  A: Questioner: Jeanne Country: United States Category: Calculus Private: No Subject: ...
Average value5/2/2009
  Q: Let f(x) = (14 π)x^2 and g(x)= k^2sin(pi x/2k) for k>0 a. Find the average value of f on ...
  A: Questioner: Jeanne Country: United States Category: Calculus Private: No Subject: Mean ...
Product rules5/2/2009
  Q: 1.how do I do, find f'(x) f(x)=4xsinxcosx 2. how do I find f'(x) of f(x)=2secx+2(e^x)tanx and ...
  A: Questioner: ray Country: United States Category: Calculus Private: No Subject: ...
Basic trigonometry.5/1/2009
  Q: The problem says: A lighthouse in Delaware Bay is known to be 120 feet tall. You use your sextant ...
  A: Questioner: jamal Country: United States Category: Calculus Private: No Subject: math ...
Limit of a sum5/1/2009
  Q: Find the limit as n approaches infinty An = 1/n2 + 2/n2 + 3/n2 + … + n/n2
  A: Questioner: Michael Tadesse Country: Ethiopia Category: Calculus Private: No Subject: ...
Trigonometric limit4/30/2009
  Q: So I have a worksheet that is just to help us get started before we start our next lesson and I was ...
  A: Questioner: ray Country: United States Category: Calculus Private: No Subject: just some ...
limits of oscillating series4/29/2009
  Q: If you have an oscillating function that is approaching 0 at infinity but it jumping back and forth ...
  A: Questioner: Sandi Country: United States Category: Calculus Private: No Subject: limits ...
limits4/29/2009
  Q: piecewise function is: f(x)= (4/(e^x-1) if x<=1 sqrt(3x^2+1)/(x-2) if x>1 a) ...
  A: Questioner: ray Country: United States Category: Calculus Private: No Subject: ...
Slope of the Tangent4/28/2009
  Q: I am having a huge problem with this question, I am not sure if all I have to do is find the ...
  A: Questioner: Dorothy Country: Canada Category: Calculus Private: Yes << CHANGED. Subject: ...
Math Calculus Qs..thanks you4/28/2009
  Q: 1. Find the dimensions of the largest rectangle whose perimeter is 3200 feet. (Enter the dimensions ...
  A: Lily, Some other expert sent this to the question pool. I am sure it is because you just dumped ...
Double-angle identities4/27/2009
  Q: im having a bit of trouble with this trigonometry proofUsing the two identities: ...
  A: Questioner: rachel Country: Australia Category: Calculus Private: No Subject: ...
Mean of means4/24/2009
  Q: I have a problem with a maths homework question. If you know the average duration (in days) a large ...
  A: Questioner: Marc Country: United Kingdom Category: Calculus Private: No Subject: ...
Integration3/28/2009
  Q: Sorry, the sqrt sign abd multiplication sign on my question came back as ascii code. Here it is ...
  A: Questioner: Brian Country: United States Category: Calculus Private: No Subject: ...
Integration Tables3/28/2009
  Q: How would you approach evaluating this integral? intergaral of √(csc x)∙cot^3 x dx I ...
  A: Questioner: Brian Country: United States Category: Calculus Private: No Subject: ...
Related rates3/27/2009
  Q: An air traffic controller spots two planes at the same altitude converging on a point as they fly at ...
  A: Questioner: Neka Country: Bahamas Category: Calculus Private: No Subject: related ...
Implicit differentiation3/25/2009
  Q: Determine the slope of -y3 + 2x2 = -6 when x = 1 and y = 2.
  A: Questioner: Luis Uribe Country: United States Category: Calculus Private: No Subject: ...
Graph sketching3/23/2009
  Q: Will you please help me figure out these things I cant figure them out. Thank you so much. given ...
  A: Questioner: cornelius Country: United States Category: Calculus Private: No Subject: ...
Maximum-minimum problem3/22/2009
  Q: Henry, who is in a rowboat A 2 miles from the nearest point B on a straight shoreline, notices smoke ...
  A: Questioner: Neka Country: Bahamas Category: Calculus Private: No Subject: Min/Max ...
Maximum-minimum problem3/22/2009
  Q: A farmer has 1000yd. of fence that he wishes to use to fence off a rectangular plot along the ...
  A: Questioner: Neka Country: Bahamas Category: Calculus Private: No Subject: Min/Max ...
Related Rates3/22/2009
  Q: A ladder 15 feet long is leaning against a building so that end X is on level ground and end Y is on ...
  A: Questioner: Jeanne Country: United States Category: Calculus Private: No Subject: ...
Integration of trig functions3/21/2009
  Q: My question is how do you integrate this thing: (2sinθ +1)^3 Do you first expand the whole ...
  A: Questioner: nyasha Private: no Subject:Hello Paul Klarreich. My question is how do you integrate ...
expansion and series of factorial3/20/2009
  Q: 5. The sum: 1/(1!2009!) + 1/(3!2007!) + 1/(5!2005!) + ... + 1/(2005!5!) + 1/(2007!3!) + 1/(2009!1!) ...
  A: Questioner: maegan Country: Philippines Category: Calculus Private: No Subject: ...
Integration of trig functions3/20/2009
  Q: My question is how do you integrate this thing: (2sinθ +1)^3 Do you first expand the whole ...
  A: Subject: Integration of trig functionsHello Paul Klarreich. My question is how do you integrate ...
Partial derivative, differentiability3/19/2009
  Q: I am Ssa. 1. For a function f(x,y) to be differentiable, its partial derivatives have to be defined ...
  A: Questioner: Ssa Country: Singapore Category: Calculus Private: No Subject: Partial ...
continuity3/18/2009
  Q: I am Ssa. Is it right to say that if a limit of the function does not exist, it means the function ...
  A: Questioner: ssa Country: Singapore Category: Calculus Private: No Subject: continuityHi, ...
Natural log.3/16/2009
  Q: Differentiate the Function : h(x)=ln(x+SQUARE ROOT(x^2-1) Evaluate the Integral from 1to2 using ...
  A: Questioner: Rachel Guyer Category: Calculus Private: No Subject: Calculus ...
Help!3/16/2009
  Q: I was wondering if you can please help me find the solutions to these 5 problems i have ...
  A: Questioner: Sarah Category: Calculus Private: Yes Subject: Help!Hello, I was wondering if ...
Related Rates3/12/2009
  Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 ...
  A: Questioner: James Category: Calculus Private: No Subject: Related RatesA spherical ...
Linear equations3/12/2009
  Q: could you please explain how to graph y - x = 0 y + 3x = -4
  A: Questioner: alyssa Category: Calculus Private: No Subject: math acould you please explain ...
Related Rates3/11/2009
  Q: A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a ...
  A: Questioner: James Category: Calculus Private: No Subject: Related RatesA balloon is rising ...
Basic trigonometry.3/11/2009
  Q: Laura Bernett is 5 ft-4 inches tall. She stands 14 feet from a streetlight and casts a 10-foot-long ...
  A: Questioner: ray Category: Calculus Private: No Subject: hiLaura Bernett is 5 ft-4 inches ...
Law of Cosines3/11/2009
  Q: So the question i have is about this problem. Find the angles of the triangle whose vertices are ...
  A: Questioner: ray Category: Calculus Private: No Subject: cannot figure this out..So the ...
Trigonometic equation3/10/2009
  Q: I don't know how to solve this all i need is one solution the problem is cos2x=-1 plese solve this ...
  A: Questioner: jamal Category: Calculus Private: No Subject: Pre-Calc ProblemI don't know how ...
Law of Sines3/10/2009
  Q: how do i solve the triangle?? and law of cosine might be needed for this... as the question states.. ...
  A: Questioner: ray Category: Calculus Private: No Subject: hihow do i solve the triangle?? ...
MacLaurin series3/9/2009
  Q: I'm given the Mclaurin series for sinx (x-x^3/3+x^5/5....) and I have to use that given series to ...
  A: Questioner: Robyn Category: Calculus Private: No Subject: Evaluating indefinite integral ...
absolute value function3/8/2009
  Q: This is a very basic and fast question, but it has a little twist so I just wanted to be sure my ...
  A: Questioner: Linrosa Category: Calculus Private: No Subject: Continuity of a derivative of ...
mean value3/7/2009
  Q: Let F be the function by f(x)=x^3+ax^2+bx+c and having the following properties: (i) The graph of f ...
  A: Questioner: Linrosa Category: Calculus Private: No Subject: Finding Values from points of ...
Points on a curve3/6/2009
  Q: How do l find all points on this curve for which x=0: In(x^2+y^2)=2arcsin(x/y) ANSWER: Questioner: ...
  A: Sorry -- correction posted. Questioner: Nyasha Category: Calculus Private: No Subject: ...
Integration3/6/2009
  Q: I don't understand why, when you take the definite integral of the function (1000-10x^2) on the ...
  A: Questioner: Mel Category: Calculus Private: No Subject: IntegrationHi, I don't understand ...
Points on a curve3/6/2009
  Q: How do l find all points on this curve for which x=0: In(x^2+y^2)=2arcsin(x/y)
  A: Questioner: Nyasha Category: Calculus Private: No Subject: Points on a curveHello Paul. ...
slope of a tangent line3/5/2009
  Q: A tangent to the parabola y = 3x^2 - 7x + 5 is perpendicular to x + 5y - 10 = 0. Determine the ...
  A: Questioner: Navid Category: Calculus Private: No Subject: slope of a TangentA tangent to ...
Related rates3/2/2009
  Q: the area of a rectangular box is 150cm sqar two parallel sides of the rectangle are lengthened at ...
  A: Questioner: ronan.kelleher Category: Calculus Private: No Subject: rates of changethe area ...
Maximum-minimum problem3/1/2009
  Q: Can you help me solve this? A farmer wishes to fence in 10,000 sq ft of land. The fense will ...
  A: Questioner: Dan Category: Calculus Private: No Subject: Min-Max Word problemCan you help ...
Verify the Identity2/27/2009
  Q: Sin (a + b + c) + sin (a - b - c) tan b tan c - 1 --------------------------------- = ...
  A: Questioner: Michael Category: Calculus Private: Yes Subject: Verify the IdentitySin (a + b ...
Trigonometric identity2/26/2009
  Q: cos 5x cos 3x + sin 5x sin 3x / sin 3x - sin x = csc x / 2
  A: Questioner: Philli Category: Calculus Private: No Subject: Identitiescos 5x cos 3x + sin ...
Domain and range2/26/2009
  Q: Consider this function [3x-1/2x) on restricted domain D={x|x<0}. Find the range of this function on ...
  A: Questioner: Heneri Category: Calculus Private: No Subject: Function inverse ????Consider ...
polar form2/25/2009
  Q: Express the number in polar form. (Give your angle measure as a value θ(greater than of equal ...
  A: Questioner: ray Category: Calculus Private: No Subject: polar formExpress the number in ...
calculus2/25/2009
  Q: a 10 ft chain weighs 25 lb. and hangs from a ceiling. Find the work done (in ft-lb) in lifting the ...
  A: Questioner: Daniel Private: no Subject:a 10 ft chain weighs 25 lb. and hangs from a ceiling. Find ...
Trigonometric identity2/25/2009
  Q: verify the identity: 1.sinxcos^3x - cosxsin^3x = 1/4sin4x 2.sin(a+b+c) + sin(a-b-c)/cos(a+b+c) - ...
  A: Questioner: Lauren Category: Calculus Private: No Subject: Trig Identitiesverify the ...
Integration2/23/2009
  Q: Find the average value of the function over the given interval and all values of x in the interval ...
  A: Questioner: Melanie Category: Calculus Private: No Subject: IntegrationFind the average ...
Centroid2/22/2009
  Q: Consider the thin plate, of constant density p , which lies above the x-axis and between the two ...
  A: OK. You are probably correct. Keep in mind that your computation of the centroid looks like ...
Integration2/21/2009
  Q: I have been working on this integration problem, but I'm not getting anywhere. Could you show me the ...
  A: Questioner: Scott Category: Calculus Private: No Subject: IntegrationI have been working ...
Applications of Derivatives2/21/2009
  Q: The spread of a virus is modeled by N=-t^3+12t^2, 0<=t<=12, where N is the number of people ...
  A: Questioner: Romel Category: Calculus Private: No Subject: Applications of DerivativesThe ...
Gaussian elimination2/19/2009
  Q: I just don't know how to solve this,the question states that use the gaussian elimination algorithm ...
  A: Questioner: Andrew Category: Calculus Private: Yes Subject: Gaussian elimination algorithm ...
Integration2/19/2009
  Q: How do l integrate this : F= ∫ (20cosΘ+ 8sinΘcosΘ)2cosdΘ My attempt: ...
  A: Questioner: Nyasha Category: Calculus Private: Yes Subject: IntegrationHello Paul, How do ...
Imaginary numbers2/18/2009
  Q: In the following exercise, perform the indicated operation and write the result in the form a + bi. ...
  A: Questioner: brooke Category: Calculus Private: No Subject: i'm stuckIn the following ...
fourier series2/17/2009
  Q: need some help with the following question. Determine the fourier series of the signal f(t) = 1+t/pi ...
  A: Questioner: keith Category: Calculus Private: No Subject: fourier serieshello paul, need ...
Rate of Change/derivatives2/17/2009
  Q: I'm having trouble mostly on a). Would rate of change be the derivative of F? If so, I can't seem to ...
  A: Questioner: Sandy Category: Calculus Private: No Subject: Rate of Change/derivativesHi, ...
Limits at infinity.2/16/2009
  Q: What is the limit of inverse sine(x/1-2x) as x goes to positive infinity? thanks
  A: Questioner: sofia Category: Calculus Private: No Subject: calculusWhat is the limit of ...
Centroid2/16/2009
  Q: Consider the thin plate, of constant density p , which lies above the x-axis and between the two ...
  A: Questioner: nyasha machoko Category: Calculus Private: No Subject: Area of a an ...
Max and Min, Inflection Points, Symmetry2/14/2009
  Q: 1.) Determine the following about the graph of the equation y= (8/x^3)-(6/x). a.) Is the graph ...
  A: Questioner: Linrosa Category: Calculus Private: No Subject: Max and Min, Inflection ...
Tangents, Max & Min2/14/2009
  Q: 4.) Consider the function f(x)= x^(4/3) + 4x^(1/3) on the interval -8 ≤ x ≤ 8. a.) Find ...
  A: Questioner: Linrosa Category: Calculus Private: No Subject: Tangents, Max & Min4.) ...
Continuity2/12/2009
  Q: A swimmer crosses a river starting at point A and ending at point B, following the path shown below. ...
  A: Questioner: Mona Private: no A swimmer crosses a river starting at point A and ending at point ...
Continuity2/12/2009
  Q: For each of the following fuinctions from S to R (with f(x) being set to 0 whenever the definition ...
  A: Questioner: Mona Category: Calculus Private: No Subject: CalculusFor each of the following ...
Trigonometric identity2/11/2009
  Q: Can you show me the steps to eliminating the parameter to write the foloowing equation in terms of x ...
  A: Questioner: Angie Category: Calculus Private: No Subject: Trig identitiesCan you show me ...
Inverse trigonometric functions.2/10/2009
  Q: Find the exact functional value without using a calculator. tan^-1(cos(pi)) Not sure what to do ...
  A: Questioner: Brooke Category: Calculus Private: No Subject: problem.Find the exact ...
Inverse trigonometric functions.2/10/2009
  Q: Use factoring, the quadratic formula, or identities to solve the equation. Find all solutions in the ...
  A: Questioner: brooke Category: Calculus Private: No Subject: question.Use factoring, the ...
Area of a segment2/10/2009
  Q: Consider a circle of radius r and a central angle of t radians, (0 < t < π), as shown in the ...
  A: Questioner: brooke Category: Calculus Private: No Subject: question.Consider a circle of ...
Trigonometric identity2/9/2009
  Q: So i'm having trouble solving this problem. 1. Prove the Identity Sin2x= 1/(tanx+cot2x) ...
  A: Questioner: brooke Category: Calculus Private: No Subject: proving an identitySo i'm ...
Particle Motion2/8/2009
  Q: Let f b the function defined for pi/6 ≤ x ≤ 5pi/6 by f(x)=x+ (sin x)^2. c.) Find all ...
  A: Questioner: Linrosa Category: Calculus Private: No ---------- FOLLOW-UP ----------Thanks so ...
Inflection Points2/8/2009
  Q: Let f b the function defined for pi/6 ≤ x ≤ 5pi/6 by f(x)=x+ (sin x)^2. c.) Find all ...
  A: Questioner: Linrosa Category: Calculus Private: No Subject: Inflection PointsLet f b the ...
Trig integral2/8/2009
  Q: How do we integrate the following question?? $ sqrt(1-cosx)dx
  A: Questioner: shadi Category: Calculus Private: No Subject: integralHow do we integrate the ...
limits2/7/2009
  Q: Prove that 2^n does not converge to any limit.
  A: Questioner: Husneara Category: Calculus Private: No Subject: limitsProve that 2^n does not ...
Differentiating and Integrating Logs2/5/2009
  Q: 6. Find dy/dx. y= ln (2x/(x+3)) 7. Find dy/dx. y= ln (x^3 + 3x)^3 8. Find the derivative. f(x) = ...
  A: Questioner: Pag Category: Calculus Private: No Subject: Differentiating and Integrating ...
Translation2/2/2009
  Q: Find a formula for a translation of f(x)=x^3 that passes through the two points on the graph. ...
  A: Questioner: Christy Category: Calculus Private: No Subject: TranslationFind a formula for ...
Slope of the Tangent2/1/2009
  Q: Find the points on the curve y=2/3x-2 where the tangent is parallel to the line y= 3 - x ...
  A: Questioner: Michael Category: Calculus Private: No Subject: Slope of the TangentFind the ...
Slope of the Tangent2/1/2009
  Q: Find the points on the curve y=2/3x-2 where the tangent is parallel to the line y= 3 - x ...
  A: Questioner: Michael Category: Calculus Private: No Subject: Tangent Help PleaseFind the ...
Maximum-minimum problem2/1/2009
  Q: the infield of a 440 yard track consists of a rectangle and 2 semicircles. to what dimensions should ...
  A: Questioner: amanda Category: Calculus Private: No Subject: max-min optimizationthe infield ...
Set-builder Notation1/31/2009
  Q: How would you write "The set of all calculus books" in set-builder notation? Is it {x|x is a ...
  A: Questioner: Jenny Category: Calculus Private: No Subject: Set-builder NotationHow would ...
Set-builder Notation1/31/2009
  Q: How would you write "The set of all calculus books" in set-builder notation? Is it {x|x is a ...
  A: Questioner: Jenny Category: Calculus Private: No Subject: Set-builder NotationHow would ...
Calculus1/19/2009
  Q: Apply implicit differentiation to find the max. and min. points on the graph of x^2 + 4y^2 - 2x - ...
  A: Steel, Why not start with some algebraic work, like completing the square? x^2 + 4y^2 - 2x - 16y + ...
Sine and cosine graphs.12/19/2008
  Q: the population of a clownfish around a certain reef varies sinusoidally. at a time 2.4 yrs into the ...
  A: Questioner: cheryl johnson Category: Calculus Private: No Subject: pre calcthe population ...
integration12/16/2008
  Q: solve integration root tanx divided by sinx cosx
  A: { SQRT(tan x) dx | ----------- } sin x cos x { tan x dx | ----------------------- } sqrt(tan x) ...
vector proof12/15/2008
  Q: Klarreich, thank you so much for helping me with my last calculus question. Well, i have another ...
  A: Questioner: sinclair Category: Calculus Subject: vector proofHello Mr.Klarreich, thank you ...
Implicit differentiation.12/14/2008
  Q: let y = f(x) be the continuous function that satisfies the equation x^4 - 5(x^2)(y^2) + 4y^4 = 0 ...
  A: Questioner: Chris Category: Calculus Private: No Subject: Calculus curve and derivativelet ...
Maximum-minimum problem.12/14/2008
  Q: A rectangle ABCD with sides parallel to the coordinate axes is inscribed in the region enclosed by ...
  A: Questioner: Kathleen Category: Calculus Private: No Subject: AP Calculus-max and minA ...
Maximum-minimum problem.12/11/2008
  Q: I don't know what I should use for my primary equation and secondary equation because the dimensions ...
  A: Questioner: ryan Private: no Subject:Hi I'm having trouble getting started on this question.I ...
Maximum-minimum problem.12/11/2008
  Q: I don't know what I should use for my primary equation and secondary equation because the dimensions ...
  A: Questioner: ryan Category: Calculus Private: No Subject: optimization problems, first year ...
Maximum-minimum problem.12/11/2008
  Q: Fruit Juice will be packaged in cylindrical cans with a volume of 40 in^3 each. The top and bottom ...
  A: Questioner: Jamie Category: Calculus Private: No Subject: Calculus Minimum CostFruit Juice ...
Basic differentiation.12/10/2008
  Q: 2. A) Use calculus methods to find the turning points of the function F(x) =4x3-3x2-6x+2 and ...
  A: Questioner: Emer Category: Calculus Private: No Subject: Mathematical methods for ...
Integration by Parts12/8/2008
  Q: I am stuck on an integration problem. Your help would be most welcome. Int[(arctanx)/x^2)] Thanks ...
  A: Questioner: Anson Category: Calculus Private: No Subject: CalculusHi I am stuck on an ...
Indefinite integral12/7/2008
  Q: Given that the graph of f(x) passes through the point (4,6) and that the slope of its tangent line ...
  A: Questioner: Elliott Category: Calculus Private: No Subject: CalculusGiven that the graph ...
Implicit differentation12/7/2008
  Q: cos(x+y) + sin (x-y) = 0 @ (pi/4, -pi/4) The answer is y = - 3(x - 1). (4) (1 + y')cos(x + y) - (1 ...
  A: Questioner: Marcel Lane Category: Calculus Private: No Subject: implicit ...
Inverse trig functions12/6/2008
  Q: arccos(cos7π/2)= π/2. can you explain how do we get π/2?
  A: Questioner: Steve Category: Calculus Private: Yes Subject: inverse ...
Lagrange multipliers - Max/min12/5/2008
  Q: Paul, I'm having a bit of trouble applying the Lagrange multiplier method to the following problem: ...
  A: Questioner: Scott Category: Calculus Private: No Subject: Lagrange multipliers - Surface ...
Critical points12/3/2008
  Q: Identify the critical point and determine the local extreme values... y=x(4-x^2)^(1/2) I tried ...
  A: Questioner: Grace Category: Calculus Private: No Subject: Max-min critical pointsIdentify ...
infinite series12/2/2008
  Q: Evaluate the integral (e^x-1)/x as an infinite series using sigma notation
  A: Questioner: michael Category: Calculus Private: No Subject: infinite seriesEvaluate the ...
Min/Max problem12/2/2008
  Q: Find the point(s) on the hyperbola x²-y²=4 that is closest to the point (1,3). ANSWER: Questioner: ...
  A: Questioner: Eric Private: no Subject:Find the point(s) on the hyperbola x²-y²=4 that is closest ...
Min/Max problem12/2/2008
  Q: Find the point(s) on the hyperbola x²-y²=4 that is closest to the point (1,3).
  A: Questioner: Eric Category: Calculus Private: No Subject: Min/Max problemFind the point(s) ...
Rate-time problem.12/1/2008
  Q: John could play 5 holes of golf in 20 minutes and Allan could play 6 holes in 30 minutes. How many ...
  A: Questioner: Keli Category: Calculus Private: No Subject: Pre-calc word problemJohn could ...
Basic differentiation.12/1/2008
  Q: let x=(tan s)/(1+tan s) find the derivative
  A: Questioner: Ashley Category: Calculus Private: Yes Subject: calculus 1 -derivativeslet ...
Basic integrals.12/1/2008
  Q: Carla Music Company estimates that the marginal cost of manufacturing its professional series guitar ...
  A: Questioner: blaine Category: Calculus Private: No Subject: CalculusCarla Music Company ...
Chain Rule11/30/2008
  Q: A point moves along the curve y=x^2 + 1 in such a way that when x=4, the x coordinate is increasing ...
  A: Questioner: Charlene Category: Calculus Subject: calculus; derivativesA point moves along ...
Basic curve sketching with derivatives.11/29/2008
  Q: Given the function f(x)=e^-x^2 (a). Find the derivative of f (b). Find the critical values (c). ...
  A: Questioner: melissa Category: Calculus Private: No Subject: Calculus questionGiven the ...
Maximum-minimum problem.11/29/2008
  Q: A commercial cattle ranch currently allows 20 steers per acre of grazing land. On average the steers ...
  A: Questioner: Max Category: Calculus Private: No Subject: Min/Max problemA commercial cattle ...
Maximum-minimum problem.11/29/2008
  Q: Find the maximum possible area of an isosceles triangle where the two equal sides are both 6 cm ...
  A: Questioner: Eric Category: Calculus Private: No Subject: Min/Max problemFind the maximum ...
Maximum-minimum problem.11/27/2008
  Q: A printed page is to contain I'm² of typing with clear margins around, of 5 by 3. Find the minimum ...
  A: Questioner: Eric Category: Calculus Private: No Subject: Calculus Min-MaxA printed page is ...
Maximum-minimum problem.11/24/2008
  Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of length ...
  A: Questioner: davis Category: Calculus Private: No Subject: Related Rates << Huh??Find the ...
Related Rates11/23/2008
  Q: A container has the shape of an open right circular cone. The height of the container is 10cm and ...
  A: Questioner: Ray Category: Calculus Private: No Subject: Related RatesA container has the ...
Related Rates11/23/2008
  Q: Water is flowing at the rate of 50m^3/min from a concrete conical reservoir (vertex down) of base ...
  A: Davis, Is this your first attempt at R-R problems? If so, the scheme is something like this: 1. ...
calculus11/22/2008
  Q: Given function f(x) = x tanx A. Find the vertical and horizontal asymptotes, if any. B. Find the ...
  A: Bill, This was sent to the pool, because your expert did not want to answer it. That's because he ...
Related Rates involving paraboloid11/22/2008
  Q: An oil storage tank has the shape of a paraboloid with a radius of 5ft and a height of 9ft. Oil ...
  A: Questioner: smiff Category: Calculus Private: No Subject: Related Rates involving ...
Limits11/20/2008
  Q: Would you please help me with following: 1)lim(x->9) ((x-10sqrt(x)+21)/(3-sqrt(x))) I don't know ...
  A: Questioner: Linda Category: Calculus Private: No Subject: LimitsWould you please help me ...
Related Rates11/20/2008
  Q: Q): A balloon rises at the rate of 10 feet per second from a point on the ground 100 feet from an ...
  A: Questioner: Melinda Category: Calculus Private: No Subject: Rates of Angle of Elevation ...
Related Rates11/20/2008
  Q: Q): A balloon rises at the rate of 10 feet per second from a point on the ground 100 feet from an ...
  A: Questioner: Melinda Category: Calculus Private: No Subject: Rates of Angle of Elevation ...
Related Rates11/19/2008
  Q: A man is walking on a bridge that is 20 ft above a river, as a boat passes directly under the center ...
  A: Questioner: sara Category: Calculus Private: No Subject: related ratesA man is walking on ...
Maximum-minimum problem.11/19/2008
  Q: This is a question my calculus-1000 proff. gave my tutorial class. Consider a horizontal road ...
  A: Questioner: Angela Category: Calculus Private: No Subject: calculus, Illumination ...
Maximum-minimum problem.11/18/2008
  Q: An open rectangular box with a square base must have a volume of 96 cubic inches. The material for ...
  A: Questioner: Dominick Category: Calculus Private: No Subject: Applied Max/Min ProblemAn ...
Applications of Integrals11/17/2008
  Q: The linear density of a rod of length 9 m is given by ρ(x) = 1 / √x, in grams per ...
  A: Questioner: Kathleen Category: Calculus Private: No Subject: Linear DensityThe linear ...
Velocity and acceleration.11/17/2008
  Q: I know your instructions said tell me what you've already tried and don't just dump the question on ...
  A: Questioner: Lauren Category: Calculus Private: No Subject: help!!I know your instructions ...
So confused11/17/2008
  Q: find the 63rd derivative of y=cos3x
  A: Questioner: Lauren Category: Calculus Private: No Subject: So confusedfind the 63rd ...
Lagrange's theorem11/16/2008
  Q: I have 3 questions: 1) Represent all cosets of H = S3 in G = S4 I'm confused about how to use the ...
  A: Questioner: Kate Category: Calculus Private: Yes Subject: Lagrange's theoremI have 3 ...
Infinite series - Integral test11/16/2008
  Q: Klarreich, please help me with the following problem. Find all positive values of b for which the ...
  A: Questioner: Sinclair Category: Calculus Private: No Subject: infinite seriesHello Mr. ...
Maximum-Minimum problem11/15/2008
  Q: I have a problem that needs to maximize a half cylinder shaped airplane hangar to 225,000 sqft. I am ...
  A: Questioner: Tony Salatti Category: Calculus Private: No Subject: Maximum-Minimum problemI ...
Trigonometric equations11/14/2008
  Q: How do I solve this equation given that 0 is less than or = to x < 2pie: sin 2x + sqrt3/2 = 0? I've ...
  A: Questioner: Keli Category: CalculusHow do I solve this equation given that 0 is less than or = ...
Definite Integrals with variables11/13/2008
  Q: I am ready to pull my hair out. I have been at this all day. I understand how to evaluate definite ...
  A: Heather, Here are two ideas for you: 1. Read some prior questions and answers on this site. There ...
Maximum-minimum problem.11/12/2008
  Q: Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere ...
  A: Questioner: davis Category: Calculus Private: No Subject: Maximizing VolumeFind the ...
Question regarding your related rates calculus answer11/11/2008
  Q: My question refers to this problem from Michael that you answered on February 28th: The radius of a ...
  A: OK. I found it. You made a slight booboo, too. It was on Feb 26, not Feb 28. I corrected it, and ...
Question regarding your related rates calculus answer11/11/2008
  Q: My question refers to this problem from Michael that you answered on February 28th: The radius of a ...
  A: Questioner: Adam Category: Calculus Private: No Subject: Question regarding your related ...
Mean Value Theorem11/11/2008
  Q: I am stuck on a particular problem. I know what the mean value theorem is but I have no idea where ...
  A: I found this in the question pool after sending you an answer, so you must have sent it to someone ...
Mean Value Theorem11/11/2008
  Q: I am stuck on a particular problem. I know what the mean value theorem is but I have no idea where ...
  A: Questioner: stephanie Category: Calculus Private: No Subject: Mean Value TheoremHi I am ...
Maximum-minimum problem.11/10/2008
  Q: A company finds that the demand function for a certain product is p(x)=2-ln(xe^2/100). The demand x ...
  A: Questioner: Gracie Category: Calculus Private: No Subject: Maximuze RevenueA company finds ...
Dog Curve11/10/2008
  Q: Here is a problem I can't solve: A dog is standing in "B" point on the "X" axis. It's owner is ...
  A: Category: Calculus Private: No Subject: Dog CurveDog Curve Hi James; <<<< Huh? Here is a ...
Related Rates11/9/2008
  Q: Water is draining out of a cone shaped tank. V=(1/3)pir^2h. Find the change in volume knowing ...
  A: Questioner: Neng Category: Calculus Private: No Subject: Calculus-Related RatesWater is ...
Applications of derivatives.11/8/2008
  Q: I know this is prob a very simple question but can you help, for the life of me I cannot remember ...
  A: Questioner: Kennith Simpson Category: Calculus Private: No Subject: CalculusI know this is ...
Maclaurin series11/8/2008
  Q: I am B.Sc first year student and it comes from the section differential calculus. The question goes ...
  A: Questioner: Roshan Category: Calculus Private: No Subject: Maclaurin seriesI am B.Sc first ...
How to refresh math skills11/8/2008
  Q: I attend an American school that uses the 4x4 system--a scheduling system that has four separate ...
  A: Questioner: Glenn Category: Calculus Private: No Subject: How to refresh math skillsHi, I ...
Applications of derivatives.11/7/2008
  Q: !! I'm having trouble in my calculus class and need help. I have 2 questions, one about equation of ...
  A: Questioner: Robert Rodriguez Category: Calculus Subject: Equation of the normal ...
Partial Fractions11/7/2008
  Q: Evaluate the Integral: Integral sign (5x^2+3x-2)/(x^3+2x^2) dx
  A: Questioner: Alfred Phiri Category: Calculus Private: No Subject: Integration of Rational ...
Proof with odd and even integers.11/6/2008
  Q: Disprove this statement: There exists an integer n such that n^3-n+1 is even.
  A: Questioner: Pete Category: Calculus Private: No Subject: More Proofs!!Disprove this ...
Basic Inequalities11/6/2008
  Q: Let a,b, and m be integers. Prove that if 2a+3b >or= 12m+1, then a >or= 3m+1 or b >or= 2m+1.
  A: Questioner: Pete Category: Calculus Private: No Subject: ProofsLet a,b, and m be integers. ...
Minimizing cost of constructing a silo with a dome top11/5/2008
  Q: Paul, I checked the archives and found a problem like this that you worked and I feel that I ...
  A: Questioner: Scott Category: Calculus Private: No Subject: Minimizing cost of constructing ...
Maximum-minimum problem.11/4/2008
  Q: A firm determines that x units of its product can be sold daily at p dollars per unit, where ...
  A: Questioner: Andrew Category: Calculus Private: No Subject: Optimization Word ProblemA firm ...
Integration by Parts11/3/2008
  Q: what is the integration of exlogx ANSWER: Hi, Sabir, For { | e^x log x dx } There is no easy way ...
  A: Questioner: sabir Category: Calculus Private: No Subject: Integration by Partswhat is the ...
Separation of variables11/2/2008
  Q: Find the general solution for dy/dx=x^3y I can't find a way to separate the variables, so I'm at a ...
  A: Questioner: Marcus Category: Calculus Private: no Subject: integration (differential ...
Maximum-minimum problem.11/2/2008
  Q: A man is floating in a rowboat 1 mile from a straight shoreline. A town is located on the shoreline ...
  A: Questioner: Andrew Category: Calculus Private: No Subject: Calculus max/min word problemA ...
limits10/31/2008
  Q: Can you show me the value of the Lim (sin(x)- (x))/x^3 as x approaches zero The idea is not to use ...
  A: Questioner: David Category: Calculus Private: No Subject: limitsDear Sir : Can you show me ...
Maximum-minimum problem.10/29/2008
  Q: Two sides of fencing are needed to enclose a rectangular area at the corner of a room. If 20 ft of ...
  A: Questioner: Samantha Category: Calculus Private: No Subject: word problems (technology)Two ...
Calculus and Related Rates10/28/2008
  Q: A can in the shape of a right circular cylinder with radius 8 in. is being filled at a constant ...
  A: Questioner: Bethany Category: Calculus Private: No Subject: Calculus and Related RatesA ...
Maximum-minimum problem.10/27/2008
  Q: A Florida citrus grower estimates that if 70 orange trees are planted, the average yield per tree ...
  A: Questioner: Megan Private: no Subject:A Florida citrus grower estimates that if 70 orange trees ...
Maximum-minimum problem.10/24/2008
  Q: what values of the constant p does f(x)= x^3 - 6x +p have 3 distinct real roots?
  A: Questioner: erika Category: Calculus Private: no Subject: calcwhat values of the constant ...
Maximum-minimum problems10/20/2008
  Q: Problem: Consider a rectangle with its base on the x-axis and two vertices on the curve f(x) = ...
  A: Questioner: Zahra Category: Calculus Private: No Subject: BC CalculusProblem: Consider a ...
Maximum-minimum problems10/19/2008
  Q: I need some help working this word problem. I know that 250,000= 1/2(pi*r^2*h). Then R(cost)= ...
  A: Questioner: Bobby Category: Calculus Private: No Subject: Help with Calculus word problemI ...
Inverses of functions10/18/2008
  Q: Given f (x) = (2x + 1) / 3 find f -1(x).
  A: Questioner: Sharon Category: Calculus Private: No Subject: Calculus 1Given f (x) = (2x + ...
Set operations - basic10/18/2008
  Q: Express the following in set builder notation: Z = {2, 3, 4, 5, 6, 7, 8, 9, 10}
  A: Questioner: jalisa Category: Calculus Private: No Subject: MathExpress the following in ...
Derivatives - applications.10/17/2008
  Q: 1) The concentration (in milligrams per cubic centimeter) of a certain drug in a patient's body t ...
  A: Questioner: Loan Category: Calculus Private: No Subject: optimaization problem1) The ...
Set operations - basic10/17/2008
  Q: Write the following in roster form: Set N is the set of natural numbers between ten and sixteen. I ...
  A: Questioner: jalisa Category: Calculus Private: No Subject: MathWrite the following in ...
Permutations and partitions.10/16/2008
  Q: A legal firm has 4 new cases and 3 lawyers. How many ways can they assign 1 lawyer to each case if ...
  A: Questioner: Adam Category: CalculusA legal firm has 4 new cases and 3 lawyers. How many ways ...
Limits10/16/2008
  Q: evaluate limits lim (sin(a+2x)-2sin(a+x)+sin a)/x^2 limx=0
  A: Questioner: sunita Category: Calculus Private: No Subject: please answerevaluate limits ...
Slope of the tangent line.10/15/2008
  Q: A function is defined by f(x)= x(x+3)^(3/5). For what values of x does the function have one or ...
  A: Questioner: Lindsay Category: Calculus Private: No Subject: CalculusA function is defined ...
L'Hospital's Rule10/15/2008
  Q: I am the expert in Laptops in the allexperts Q&A. I study electrical engineering and in the calculus ...
  A: Questioner: Mohammad babaee Category: Calculus Private: No Subject: Limit questioncalculus ...
Integration methods.10/15/2008
  Q: Evaluate the integral: ∫ (2x4 + 3x2 – 2x) dx
  A: Questioner: Marie Category: Calculus Private: No Subject: Evaluating IntegralsEvaluate the ...
Maximum-minimum problems10/14/2008
  Q: You did a great job helping me with a previous question, hopefully you can do one more! Thanks! *A ...
  A: Questioner: Gracie Category: Calculus Private: No Subject: MaximizeYou did a great job ...
Maximum-minimum problems10/14/2008
  Q: Yes sorry the 7.5cm,15cm,7.5 are 7.5cm____/7.5cm 15cm ...
  A: Questioner: Larissa Category: Calculus Private: No Subject: The gutter problemYes sorry ...
Maximum-minimum problems10/13/2008
  Q: 1) Calculate the height of the perpendicular sides of the gutter which will give a maximum volume ...
  A: Questioner: Larissa Category: Calculus Private: No Subject: The gutter problem1) Calculate ...
Area between 2 curves10/12/2008
  Q: I'm trying to find the area between 2 curves enclosed by y=x and y=x^3. When I solve for x I get ...
  A: Questioner: Tyrene Category: Calculus Subject: area between 2 curvesHi, I'm trying to find ...
Marginal Cost10/11/2008
  Q: I am working through Morris Kline's Calculus: An Intuitive And Physical Approach and came across an ...
  A: Questioner: Paul Category: Calculus Private: No Subject: Question in Morris Kline's BookI ...
Basic equations.10/11/2008
  Q: The question is Y^(3/4) = 2x+2. I would like to solve for Y (Leave Y by itself on the left hand ...
  A: Questioner: Mitch Category: Calculus Private: No Subject: calculusDear Mr Klarreich, The ...
Basic inequality10/11/2008
  Q: prove that //a/-/b//is greater than or equal/a-b/ note:[/]mark means absolute
  A: Questioner: ahmed Category: Calculus Private: No Subject: caculasprove that |a| - |b| is ...
Maximum-minimum problems10/9/2008
  Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the ...
  A: Questioner: Gracie Category: Calculus Private: No Subject: Calulus.Find two positive ...
L'Hospital's Rule10/9/2008
  Q: The instructions said to evaluate the limit using L'Hopitals Rule. The problem is ...
  A: Questioner: Colton Category: Calculus Private: No Subject: L'Hopitals RuleThe instructions ...
Maximum-minimum problems10/7/2008
  Q: please help me. I used a previous problem to guide me through problem 2.Likewise I attempted to do ...
  A: Questioner: Anthony Category: Calculus Private: No Subject: min/maxplease help me. I used ...
Taylor series circle of convergence.10/7/2008
  Q: in the maclaurin's series expansion of log e(1+x), why is this valid only for -1< x ≤1 ?
  A: Questioner: aarthi Category: Calculus Private: no Subject: maclaurin's seriesin the ...
Number theory, divisibility10/6/2008
  Q: Ok Paul, you have been amazing so far! Here are two more for you to have fun with. (1) If (A) is an ...
  A: Questioner: Pete Category: Calculus Private: No Subject: Advanced Mathematics-ProofsOk ...
Velocity and acceleration10/6/2008
  Q: A particle moves along a line so that at any time t its position is given by x(t)=2(pi)t+cos2(pi)t. ...
  A: Questioner: Gina Category: Calculus Private: No Subject: DerivativesA particle moves along ...
Subgroups10/6/2008
  Q: (1) If I have a function phi mapped from G to G' which is an isomorphism of groups how do I explain ...
  A: again, Sombra, You're really making me work here. [It's good for me -- don't stop.] ..........Below ...
Group isomorphisms10/5/2008
  Q: (1) If I have a function phi mapped from G to G' which is an isomorphism of groups how do I explain ...
  A: Questioner: Sombra Category: Calculus Private: No ---------- FOLLOW-UP ---------- This may ...
Group isomorphisms10/4/2008
  Q: (1) If I have a function phi mapped from G to G' which is an isomorphism of groups how do I explain ...
  A: Questioner: Sombra Category: Calculus Private: No Subject: group isomorphisms(1) If I have ...
Exponential Decay.10/4/2008
  Q: I have a question on transformation of functions, it goes like this. A hot brick is removed from ...
  A: ANSWER: Questioner: Robert Category: Calculus Private: No Subject: Transformations of ...
Exponential Decay.10/3/2008
  Q: I have a question on transformation of functions, it goes like this. A hot brick is removed from ...
  A: Questioner: Robert Category: Calculus Private: No Subject: Transformations of FunctionsI ...
Instantaneous rate of change10/1/2008
  Q: I'm taking calculus 1 and was hoping that you might be able to help with finding the instantaneous ...
  A: Questioner: Sharon Category: Calculus Private: No Subject: Instantaneous rate of ...
Basic derivatives10/1/2008
  Q: Differentiate: y = (1 + cos x) / (1 – cos x)
  A: Questioner: Marie Category: CalculusDifferentiate: y = (1 + cos x) / (1 – cos x) ...
Integration - half angle trick.9/28/2008
  Q: Trying to integrate cos^4 x dx I,ve been told a Hint cos^4x = cos^2 x X cos^2 x and cos^2 x = (1 ...
  A: Questioner: carole Category: Calculus Private: No Subject: IntegrationTrying to integrate ...
Factoring 3rd degree polynomials with coefficients9/27/2008
  Q: How do I factor:8 t^3 - 9 t^2 - 2 I remember learning somethig about dividing the first coefficient ...
  A: Questioner: Natasha Category: Calculus Private: No Subject: Factoring 3rd degree ...
Partial fractions9/25/2008
  Q: i have read over and over the examples and answers using the partial fractions method, and i just ...
  A: Questioner: sarah Category: Calculus Private: No Subject: partial fractionsHi, i have read ...
Horizontal tangents9/25/2008
  Q: Determine the point(s) at which the graph of f(x) = x/sqrrt(2x-1) has a horizontal tangent
  A: Questioner: Kristin Category: Calculus Private: No Subject: Horizontal tangentsDetermine ...
Basic derivatives9/25/2008
  Q: find the derivative of the function. y = (1/2)x^2* (4-x)
  A: Questioner: Kristin Category: Calculus Private: No Subject: derivativesfind the derivative ...
Velocity and acceleration9/24/2008
  Q: ball thrown upward at 44ft/sec velocity. At certain ht. t in second, y = 44t-16t^2. What is the ...
  A: Questioner: Ricardo Category: Calculus Private: No Subject: Velocity and accelerationball ...
Maximum-minimum problems9/24/2008
  Q: 1.a piece of wire16 in. long is cut into two pieces; 1 piece is to be bent to form a circle and the ...
  A: Questioner: monica Category: Calculus Private: No Subject: help!!1.a piece of wire16 in. ...
Velocity and acceleration9/23/2008
  Q: ball thrown upward at 44ft/sec velocity. At certain ht. t in second, y = 44t-16t^2. What is the ...
  A: Questioner: Ricardo Category: Calculus Private: No Subject: beginning calculusball thrown ...
proving one-to-one correspondence9/23/2008
  Q: How do you proved that there is a one-to-one correspondence between the points of the interval [0,1] ...
  A: Questioner: Dwayne Category: Calculus Private: no Subject: proving one-to-one ...
Rectangle Bounded by semicircle9/22/2008
  Q: I am having trouble even getting started on this problem... A rectangle is bounded by the x-axis ...
  A: Questioner: Braden Category: Calculus Private: No Subject: Rectangle Bounded by ...
Composition of functions9/21/2008
  Q: This problem I have been struggling with for about the past 30 minutes hopefully you can help. ...
  A: Questioner: Chris Category: Calculus Private: No Subject: College AlgebraThis problem I ...
Improper integral9/17/2008
  Q: how can i solve this improper integral? integral from 1 to infinite of (cos(x)*cos(x^2))
  A: Questioner: Luis K. Category: Calculushow can i solve this improper integral? integral from 1 ...
Decreasing Inverval7/30/2008
  Q: Here is my question. We're not supposed to use the calculator for this. On what interval(s) is the ...
  A: Questioner: Emma Category: Calculus Private: No Subject: Decreasing InvervalHi, Here is ...
Maximum-minimum problems6/24/2008
  Q: Find the longest beam that can go around a hallway with width A to a hallway with a width B. Tried ...
  A: Questioner: Willis Category: Calculus Private: No Subject: OptimizationFind the longest ...
Basic derivatives6/22/2008
  Q: I have a couple of questions regarding my calculus homework. I have already completed most of the ...
  A: Questioner: Ryan Category: Calculus Private: No Subject: calculusI have a couple of ...
Definition of Limit6/22/2008
  Q: Well here's my situation. I haven't taken any math since high school and now I'm taking calculus. ...
  A: Gurvi, You are using the DEFINITION OF LIMIT: lim f(x) = L if: x->a WHENEVER |x-a| is small, ...
Definition of Limit6/21/2008
  Q: Well here's my situation. I haven't taken any math since high school and now I'm taking calculus. ...
  A: Questioner: Gurvi Category: Calculus Private: No Subject: Proving limitsWell here's my ...
Vectors6/21/2008
  Q: Can u answer this question - "If the difference of two vectors A and B is perpendicular to their ...
  A: Questioner: Anubhav Category: Calculus Private: No Subject: VectorsCan u answer this ...
Vectors6/20/2008
  Q: Can u answer this question - "If the difference of two vectors A and B is perpendicular to their ...
  A: Questioner: Anubhav Category: Calculus Private: No Subject: vectorsCan u answer this ...
Indeterminate Forms and L'Hospital's Rule6/20/2008
  Q: I hope you can help! I am taking a college first year calculus correspondence class. I have am ...
  A: Questioner: Lee Category: Calculus Private: No Subject: Calculus I (Indeterminate Forms ...
Maximum-minimum problems6/17/2008
  Q: After receiving $1000, you must carry out an intervention to increase the population of a marine ...
  A: Questioner: Maxime Category: Calculus Private: No Subject: Maximization and ...
Related rates6/14/2008
  Q: a sphere is being filled at a constant rate of 4cm^3/sec. At what rate is the surface area changing ...
  A: Questioner: inthujah Category: Calculus Private: No Subject: calculus related rates... ...
Improper Integrals6/1/2008
  Q: I have not done an integral with infinite bounds so far. Could you tell me how to go about ...
  A: Questioner: Sami Category: Calculus Private: No Subject: integral with infinite boundsHi ...
Continuity5/31/2008
  Q: I am megahana and undergraduate student. I am not understanding that, 1) what is exact difference ...
  A: Questioner: MEGHNA NAIDU Category: Calculus Private: No Subject: continousDear Sir, ...
Related Rates5/29/2008
  Q: I'm having a problem with 2 related rates word problems. In the heat of the sun, a sheet of ...
  A: Questioner: Kiana Category: Calculus Private: No Subject: related ratesHi, I'm having a ...
Maximum-minimum problem.5/29/2008
  Q: You're designing an open top card board box for a purveyor of nuts. The top will be made of clear ...
  A: Questioner: Nicole Category: Calculus Private: No Subject: Min and MaxYou're designing an ...
Trig identity integration5/28/2008
  Q: I'm stuck on this one integral of {cos^4xdx, the exponent is even, so do I use double-angle ...
  A: Questioner: Lana Category: Calculus Private: No Subject: trig identity integrationI'm ...
Review of tangent line answer5/27/2008
  Q: Looking at your solution to the followingSubject: CalculusCould you help me with this? Graph the ...
  A: Questioner: Iain Category: Calculus Private: No Subject: Review of tangent line ...
Differential equation of decay.5/27/2008
  Q: Let v(t) be the velocity, in feet per second, of a skydiver at time t seconds, t>0. After her chute ...
  A: Questioner: harman Category: Calculus Private: No Subject: ap calculusLet v(t) be the ...
Curve sketching with derivatives.5/27/2008
  Q: Let f(x) be the function defined by f(x)=sin^(2)x-sinx for 0 <(less than or equal to) x <(less than ...
  A: Questioner: harman Category: Calculus Private: No Subject: ap calculusLet f(x) be the ...
Curve sketching with derivatives.5/24/2008
  Q: For what values of a and b does the function f(x)=x^(3)+ax^(2)+bx+2 have a local maximum when x=-3 ...
  A: Questioner: harman Category: Calculus Private: No Subject: ap calculusFor what values of a ...
Implicit differentiation.5/24/2008
  Q: Given the equation 5x^(2)-6x+5y^(2)=16, find dy/dx. What is its value at points (2,2) and (1,-1)?
  A: Questioner: harman Category: Calculus Private: No Subject: ap calculus, changing of ...
Maclaurin series, binomial5/24/2008
  Q: I am trying to find the Maclaurin series for f(x)=x/(1+(x/2))in terms of sum n=0 to infinity nth ...
  A: Questioner: sami Category: Calculus Private: No Subject: Maclaurin seriesHi Paul, I am ...
Definite Integral properties5/22/2008
  Q: I need some help with this problem Let f(x) be a continuous function that is defined for all real ...
  A: The part I needed help in completing i s "Given that f(x) is a linear function of x, find an ...
Definite Integral properties5/21/2008
  Q: I need some help with this problem Let f(x) be a continuous function that is defined for all real ...
  A: Questioner: sami Category: Calculus Private: No Subject: integrals ...
Integration of Inverse Trig functions5/20/2008
  Q: I need some help with this problem because I keep getting the wrong answer and I can't figure out ...
  A: Questioner: Caroline Category: Calculus Private: No Subject: Inverse Trig Functions and ...
Exponential Growth and Decay5/17/2008
  Q: The temperature of an ingot of silver is 60 degrees Celsius above room temperature right now. ...
  A: Questioner: Jessica Category: Calculus Private: No Subject: Exponential Growth and ...
Related Rates5/15/2008
  Q: The beacon on a lighthouse 62 m from a straight shoreline completes a full rotation every 51 ...
  A: Questioner: zach neukirchen Category: Calculus Private: No Subject: Calculus-trigThe ...
Basic curve sketching with derivatives.5/12/2008
  Q: 2) Consider F(x)=x^3+ax^2+bx+c, where a,b, and c are constants with a>0(or equal to 0) and b>0 (or ...
  A: Questioner: David Private: no Subject:2) Consider F(x)=x^3+ax^2+bx+c, where a,b, and c are ...
Basic curve sketching with derivatives.5/11/2008
  Q: 2) Consider F(x)=x^3+ax^2+bx+c, where a,b, and c are constants with a>0(or equal to 0) and b>0 (or ...
  A: Questioner: David Category: Calculus Private: No Subject: relative max & min problem2) ...
Applications of derivatives.5/11/2008
  Q: 1) Let: Z(x)=F(x)*G(x) F(x)>0 and G(x)>0 F'(x) and G'(x) exist F"(x) and ...
  A: Questioner: David Category: Calculus Private: No Subject: relative max & min problem1) ...
Related Rates5/9/2008
  Q: two boats are approaching a buoy along paths that make a 90 degree angle. The first boat is 150 ...
  A: Questioner: Sarah Category: Calculus Private: No Subject: related ratestwo boats are ...
Maximum-minimum problem.5/7/2008
  Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=12-x^2. What is ...
  A: Questioner: Rebecca Category: Calculus Private: No Subject: Applied OptimizationA ...
Maximum-minimum problem.5/6/2008
  Q: Two light sources, L1 and L2 are 100m apart and have intensity of 4 units and 1 unit, respectively. ...
  A: Questioner: nazia Category: Calculus Private: No Subject: CalculusTwo light sources, L1 ...
Related Rates5/5/2008
  Q: The beacon on a lighthouse 40 m from a straight shoreline rotates twice per minute. How fast is the ...
  A: Questioner: zach neukirchen Category: Calculus Private: No Subject: Trigonometric ...
related rates cone problem5/4/2008
  Q: I have a problem much like this one, that I am attempting to solve. I understand every step you have ...
  A: Questioner: Jessica Category: Calculus Private: No Subject: related rates cone problemI ...
Complex numbers5/4/2008
  Q: please see the image attached. I am studying A Level Maths. Thanks for your time and help.
  A: Questioner: jenny Category: Calculus Private: No Subject: complex ...
Functions - multipart5/4/2008
  Q: if f(a)=max. (a,1/a) for all a>0 then find the value of f(r)*f(1/r) for all 0<r<1.
  A: Questioner: shweta Category: Calculus Private: No Subject: functionsif f(a)=max. (a,1/a) ...
Rational Functions5/3/2008
  Q: I'm studying rational functions and I'm having trouble to solve and graph this rational function: ...
  A: I just have 2 more questions. the function is improper, right? >> Right. So don't I have to do a ...
Rational Functions5/3/2008
  Q: I'm studying rational functions and I'm having trouble to solve and graph this rational function: ...
  A: Questioner: Andrey Category: Calculus Private: No Subject: Rational FunctionsHi, I'm ...
Related Rates5/3/2008
  Q: A rope 32 feet long is attached to a weight and passed over a pulley 16 feet above the ground. The ...
  A: Questioner: Abbas Category: Calculus Private: No Subject: calculus related(rates)A rope 32 ...
Basic differentiation.5/2/2008
  Q: The eating behavior of a typical human during a meal can be described by I(t)=27+ 72t - 1.5t^2 ...
  A: Questioner: Amber Category: Calculus Private: No Subject: derivativesThe eating behavior ...
Maximum-minimum problem.5/2/2008
  Q: find the exact dimensions of the largest rectangle that can be insribed in the curve y= e^x ...
  A: Questioner: john Category: Calculus Private: No Subject: optimzationfind the exact ...
Related Rates5/1/2008
  Q: A conical water tank (with the vertex down) is 10 meters across the top and 12 meters deep. a) ...
  A: Questioner: Seth Category: Calculus Private: No Subject: Related RatesA conical water tank ...
Integration4/30/2008
  Q: I would like to know how to integrate 1) sin(14x) cos(5x) dx 2) 2.7^2x+7 dx THANK YOU
  A: Questioner: khan Category: Calculus Private: No Subject: integrationHi, I would like to ...
Maximum and Minimun Problem4/30/2008
  Q: If 1200cm^2 of material is available to make a box with a square base and an open top, find the ...
  A: Questioner: Rebecca Category: Calculus Private: No Subject: Maximum and Minimun ProblemIf ...
Velocity and acceleration.4/30/2008
  Q: A particle moving along the x-axis has acceleration a(t)=6t-2 in m/s^2 for time t>0. If the particle ...
  A: Questioner: Joy Category: Calculus Private: No Subject: Acceleration,position,velocityA ...
Mean Value Theorem4/29/2008
  Q: Having trouble figuring out where to start with this problem: Let f and g be functions that are ...
  A: Questioner: Edward Greiner Category: Calculus Private: No Subject: Calc ...
Velocity and integration by parts4/29/2008
  Q: A particle that moves along a straight line has velocity v(t)=t^(2)*e^(-3t) meters per second after ...
  A: Questioner: Rahma Category: Calculus Private: No Subject: integration by partsA particle ...
Integration by Parts4/29/2008
  Q: Integration of exp(x)(1+Sinx)/(1+Cosx).... Please sir i am not able to do this very hard for me to ...
  A: Questioner: Suzan Thomas Category: Calculus Private: No Subject: CalculusIntegration of ...
Slope of a Line4/8/2008
  Q: 5. (a) Find the equation of the tangent line to y = 1 x at the generic point (a, 1/a) (b) Let f ...
  A: Questioner: gwendolyn Category: Calculus Private: No Subject: does this help5. (a) Find ...
Integration4/7/2008
  Q: I have an integral that I am not having much luck with. It doesn't seem it fit in with any of the ...
  A: Questioner: Mark Category: Calculus Private: No Subject: IntegrationIntegration By ...
Absolute Value Inequality4/7/2008
  Q: This is from the homework of my Mathematical Analysis I course. I don't know how to do this kind of ...
  A: Questioner: Vanesa Villafana Liñan Category: Calculus Private: No Subject: Absolute Value ...
Lines and planes in space.4/6/2008
  Q: A plane has equation x - 2y +z = 4. Show that the square, say D^2, of the distance from the point ...
  A: Questioner: Natalie Category: Calculus Private: No Subject: minimum in multivariable ...
Velocity and acceleration.4/6/2008
  Q: I am having some trouble here with this problem. I am not sure how to start or what to do at all. A ...
  A: Questioner: Shanye Category: Calculus Private: No Subject: MotionI am having some trouble ...
Related Rates4/5/2008
  Q: A voltage V across a resistance R generates a current C = V/R. Suppose a constant voltage of 10 ...
  A: Questioner: luis Category: Calculus Private: No Subject: realted rates problemA voltage V ...
Related Rates4/5/2008
  Q: A man 2m strolls at 1m/s along the edge of a road 10m wide. A street light 6m high stands on the ...
  A: Questioner: khaleel Category: Calculus Private: No Subject: CalculusHi I have this problem ...
Definite Integral Properties4/5/2008
  Q: I have a question about definite integrals. Here's the problem: Assuming that [integration from 0 ...
  A: Questioner: Ashley Category: Calculus Private: No Subject: IntegrationHi Paul, I have a ...
Calculus 14/4/2008
  Q: Figure 11.1 is the mathematical equation that was listed below it.... f(x) = {c2 - x2 if x<0 OVER ...
  A: Questioner: Andrea Category: Calculus Private: No Subject: Calculus 1Figure 11.1 is the ...
sequence /limits4/4/2008
  Q: How do I find the limit of a sequence described by sqrt(2), sqrt(2(sqrt(2)), ...
  A: Questioner: vince Category: Calculus Private: No Subject: sequence /limitsHi Paul, How do ...
Absolute value.4/3/2008
  Q: Figure 9.1 h(x) = x-9 over |x-9| Given Figure 9.1, tell where h is continous. (Give your answer in ...
  A: Questioner: Andrea Category: Calculus Private: No Subject: Calculus 1Figure 9.1 h(x) = ...
second-order partial derivatives4/2/2008
  Q: How are all the second-order partial derivatives of the function z = 9xln(8x^3y)worked out? Thank ...
  A: Questioner: James Category: Calculus Private: No Subject: second-order partial derivatives ...
Maximum-minimum problem.4/2/2008
  Q: How do you work these? 1. What is the average value of y for the part of the curve y= 3x-x^2 which ...
  A: Questioner: Dana Category: Calculus Private: No Subject: Calculus AP materialHow do you ...
Differential equation of decay.3/31/2008
  Q: Could you please help me with this question. I do not understand how to answer it. I am currently ...
  A: Questioner: Aly Category: Calculus Private: No Subject: A drained inverted pyramid ...
Related Rates3/31/2008
  Q: An object that is launched vertically is tracked by a radar station located on the ground 4 miles ...
  A: Questioner: Ashley Category: Calculus Private: No Subject: related rates?An object that is ...
Intermediate Value Theorem & Newton's Method3/31/2008
  Q: I'm a first year college student taking Calculus we don't use the text book except as a resource so ...
  A: Questioner: Russ Category: Calculus Private: No Subject: Calculus Intermediate Value ...
Related Rates3/30/2008
  Q: A man starts walking north at 45metres/minute from point P. Five minutes later a woman starts ...
  A: Questioner: raj Category: Calculus Private: No Subject: related ratesA man starts walking ...
Multipart functions3/30/2008
  Q: How can I solve this piece wise function? Let f(x)= {3, x ≤ 3 {6 - x, x > 3 ...
  A: Questioner: kayla Category: Calculus Private: No Subject: ap calculusHow can I solve this ...
Related Rates - Cone3/30/2008
  Q: I just want to make sure that I am on the right track with this problem.As sand leaks out of a hole ...
  A: Questioner: Lauren Category: Calculus Private: No Subject: Related Rates - ConeI just want ...
Inverses of functions.3/29/2008
  Q: Let f be the function defined by f(x)=x^3 + x. If g(x)= f^-1(x)and g(2)=1, what is the value of ...
  A: Questioner: Allie Category: Calculus Private: No Subject: implicit differentiationLet f be ...
Limits,continuity and differentiability3/29/2008
  Q: let h(x)=min{x,( x raised power two)}, for every real no of x then which of following are ...
  A: Questioner: mujeeb Category: Calculus Private: No Subject: limits,continuity and ...
Differential equation of oscillation3/29/2008
  Q: hye.. i really hope that you can answer this question.i'm studying ode now for my degree in ...
  A: Questioner: fiza Category: Calculus Private: No Subject: odehye.. i really hope that you ...
Basic differentiation - Chain Rule3/28/2008
  Q: Show that the family of curves described by x^2 + 3y^2 = b are orthogonal y=ax^3? ANSWER: ...
  A: Questioner: mary Category: Calculus Private: No Subject: Implicit differentiation. ...
Implicit differentiation.3/28/2008
  Q: Show that the family of curves described by x^2 + 3y^2 = b are orthogonal y=ax^3?
  A: Questioner: mary Category: Calculus Private: No Subject: calculus 1Show that the family of ...
Parametric equations3/27/2008
  Q: It's has been awhile since I worked with derivatives and antiderivative. Can you check if I did ...
  A: Questioner: Ann Category: Calculus Subject: parametric? It's has been awhile since I ...
Related Rates3/27/2008
  Q: At 9am ship A is 50km east of ship B. Ship A is sailing north at 40km/h and ship B is sailing south ...
  A: Questioner: Raj Category: Calculus Private: No Subject: Related RatesAt 9am ship A is 50km ...
Related Rates3/26/2008
  Q: a particle is moving along the curve y= x^1/2. As the particle passes (4,2), it's x-coordinate ...
  A: Questioner: harman Category: Calculus Private: No Subject: related ratesa particle is ...
Implicit differentiation.3/26/2008
  Q: What is the slope of the line tangent to the curve 3y^2-2x^2=6-2xy at the point (3,2)? This review ...
  A: Questioner: Lissa Category: Calculus Private: No Subject: Finding Slope of tangentWhat is ...
implicit differentiation3/25/2008
  Q: Consider the graph defined implicitly by x^2 + 3xy + y^2 = 5. A) Find the coordinates of any point ...
  A: Questioner: Connie Category: Calculus Private: No Subject: implicit ...
Related Rates3/25/2008
  Q: The trunk of a tree is approximately cylindrical in shape and has a diameter of 1m when the height ...
  A: Questioner: A.A Category: Calculus Private: No Variables: r = radius of trunk. V = volume ...
Related Rates3/24/2008
  Q: Question 1) A water trouph is 6m long and has a cross-section in the shape of an isosceles ...
  A: Questioner: Raj Category: Calculus Private: No Subject: Related RatesQuestion 1) A water ...
Related Rates3/24/2008
  Q: The trunk of a tree is approximately cylindrical in shape and has a diameter of 1m when the height ...
  A: Questioner: A.A Category: Calculus Private: No Subject: Related RatesThe trunk of a tree ...
Related Rates3/24/2008
  Q: 2 posts are 10m apart and each is 20m high. On top of one of the posts, there is a lamp. On top of ...
  A: Questioner: Raj Category: Calculus Private: No Subject: Related Rates2 posts are 10m apart ...
Difference quotient3/23/2008
  Q: Q1.find the Difference Quotient f(x+h)-f(x)/h and simplify the result A) f(x)=1/x B) f(x)=1/radical ...
  A: Questioner: Ghous Khan Category: Calculus Private: No Subject: FunctionsQ1.find the ...
Related Rates3/23/2008
  Q: 2 posts are 10m apart and each is 20m high. On top of one of the posts, there is a lamp. On top of ...
  A: Questioner: Raj Category: Calculus Private: No Subject: Related Rates2 posts are 10m apart ...
Implicit differentiation.3/22/2008
  Q: x^(3) + y^(3)= 28 Find y''(x)at the point (3,1) I solved for y' easily: 3x^(2) + 3y^(2)*y' = 0 ...
  A: Questioner: aliya Category: Calculus Private: No Subject: implicit differentiationx^(3) + ...
Integration of trig function3/21/2008
  Q: I am trying to integrate (sin^3(x))/sqrt cos(x) I trying to use integration by parts. I keep ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Integration of trig function ...
Related Rates3/20/2008
  Q: A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude ...
  A: Questioner: melissa Category: Calculus Private: No Subject: calculusA plane flying with a ...
Basic differentiation - Product Rule3/16/2008
  Q: I am confused when it comes to finding the second derivative of a function. An example of this is ...
  A: again, Aaron,I am confused about when >> Whenever you have more than one term. [And after 10:00 ...
Basic differentiation - Product Rule3/16/2008
  Q: I am confused when it comes to finding the second derivative of a function. An example of this is ...
  A: Questioner: Aaron Category: Calculus Private: No Subject: Need help with finding second ...
Basic differentiation.3/13/2008
  Q: I have had previous experience in Calculus but have not done any maths for a few years now and can't ...
  A: Questioner: Gaylene Category: Calculus Private: No Subject: AP calculusI have had previous ...
Basic integrals.3/9/2008
  Q: how do you integrate the following? please help with any that you can do. the questions are in the ...
  A: Cody, That is a lot of examples. If you can't do any of these you are probably taking a subject ...
Power series - convergence3/8/2008
  Q: A function f is defined by f(x)= 1/3 + (2/3^2)x + (3/3^3)x^2 + ...+ [(n+1)/3^(n+1)]x^n +.... for ...
  A: Questioner: Anna Category: Calculus Private: No Subject: cal bcA function f is defined by ...
Velocity and acceleration.3/7/2008
  Q: A particle starts at the point (5,0) at t=0 and moves along the x-axis in such a way that at time ...
  A: Questioner: Joe Allen Category: Calculus Private: No Subject: CaLculusA particle starts at ...
Velocity and acceleration.3/7/2008
  Q: A particle starts at the point (5,0) at t=0 and moves along the x-axis in such a way that at time ...
  A: Questioner: Joe Allen Category: Calculus Private: No Subject: CaLculusA particle starts at ...
Curve sketching with derivatives.3/6/2008
  Q: After having found f '(x)= 2(1-x^2) / sqrt 2-x^2 ( from the given function: f(x)= x(sqrt 2-x^2) I ...
  A: Questioner: Shawna Category: Calculus Private: No Subject: second derivativesAfter having ...
Related Rates3/5/2008
  Q: A fish is being reeled in at a rate of 2 meters / second (that is, the fishing line is being ...
  A: Questioner: chester castellano Category: Calculus Private: No Subject: help << Do better ...
Related Rates3/5/2008
  Q: The Monticello High School swimming pool is an inverted cone with height 20 meters and radius 5 ...
  A: Questioner: chester castellano Category: Calculus Private: No Subject: help << That's not ...
Integration by Substitution3/4/2008
  Q: I need help with this integration problem: Directions: Evaluate the indefinite integral. 1. I have ...
  A: Questioner: Caroline Category: Calculus Private: No Subject: Integration by ...
Related Rates3/4/2008
  Q: Good evening, A baseball diamond is a square with sides of 90 ft each. A batter hits the ball and ...
  A: Questioner: Andrew Category: Calculus Private: No Subject: Relative rates...Good evening, ...
Related Rates3/3/2008
  Q: A rectangle’s base b is increasing at a rate of one unit per second,and its height h is increasing ...
  A: Questioner: Shoota Category: Calculus Private: No Subject: ClaculusA rectangle’s base b ...
Limits at infinity.3/3/2008
  Q: HOW TO SOLVE lim x tends to infinity { [3+lnx]/[2lnx-1]}
  A: Questioner: krishnamoorthy Category: Calculus Private: No Subject: CALCULUS INDETERMINATE ...
Areas and volumes by integration.2/29/2008
  Q: I DO NOT EXPECT YOU TO DO THIS PROBLEM. This time I will give as much information as possible. I ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Any Suggestions for this ...
Related Rates2/29/2008
  Q: Slag left over from the manufacture of cement is being piled outside a cement plant. The resulting ...
  A: Questioner: cameron Category: Calculus Private: No Subject: calcSand is being piled onto a ...
Related Rates2/28/2008
  Q: A 200 foot tree is falling in the forest; the sun is directly overhead. At the moment when the tree ...
  A: Questioner: Andy Category: Calculus Private: No Subject: gr.12 Calculus - related ratesA ...
Related Rates2/27/2008
  Q: About the text book we arent provided with any, we just follow notes done by our teacher. I'm having ...
  A: Questioner: priyanka Category: Calculus Private: No Subject: calculus/vectors gr 12About ...
infinite series2/26/2008
  Q: How do you prove the convergence or divergence of the infinite series from one to infinity 1/ln(n)? ...
  A: Questioner: Hope Category: Calculus Private: No Subject: infinite seriesHow do you prove ...
Related Rates2/26/2008
  Q: I was wondering if you could help me out with this calculus, related rates problem. The radius of a ...
  A: Questioner: Micheal Category: Calculus Private: No Subject: Related RatesHi Paul, I was ...
Vertex of a parabola2/25/2008
  Q: "I understand what a vertex is and how to find it on a graph or a graphing calculator but, do not ...
  A: Questioner: Sarah Category: Calculus Private: No Subject: How to find the vertex of a ...
Related Rates2/25/2008
  Q: A ship is moving at the rate of 600 feet per minute. A man in the top level of the ship, 20 feet ...
  A: Questioner: Alexandra Category: Calculus Private: No Subject: Related RatesA ship is ...
Applications of derivatives.2/24/2008
  Q: Suppose you put a potato in a hot oven, maintained at a constant temperature of 200 degrees Celsius. ...
  A: Questioner: Madeline Category: Calculus Private: No Subject: Section: Short Cuts to ...
Delta epsilon Method Precise Limits2/23/2008
  Q: lim (x+6)/x = 4 as x->2 I find delta=epsilon/3 There is an online applet at ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Delta epsilon Method Precise ...
related rates2/23/2008
  Q: A 14-ft long ladder is leaning against the side of a house, forming a right triangle with the ground ...
  A: Questioner: James Category: Calculus Private: No Subject: related ratesA 14-ft long ladder ...
related rates2/22/2008
  Q: Two airplanes at the same height are flying away from an airport at a right angle to each other. ...
  A: Questioner: James Category: Calculus Private: No Subject: related ratesTwo airplanes at ...
Related Rates2/22/2008
  Q: A light shines from the top of a streetlight 30 ft. off the ground. A ball is dropped from the same ...
  A: Questioner: James Category: Calculus Private: No Subject: related ratesA light shines from ...
Quadratic equation disguised.2/16/2008
  Q: find the possible values of x for which 2^2x+1 = 3(2^x)-1 i got up to: (2x+1)log2 = 3(2^x)-1 ...
  A: Questioner: charlotte Category: Calculus Private: No Subject: logarithmsfind the possible ...
Trigonometric integrals - fun and games2/16/2008
  Q: I am asked to integrate [sin^3(x) cos^3(x)] SO: u=sin(x) du=cos(x) dx Now: sin^3(x) cos^2(x) ...
  A: Questioner: Mark Category: Calculus Private: No Subject: IntegrationI am asked to ...
Basic differentiation - Product Rule2/14/2008
  Q: This has to do with the product rule, but asks to differentiate and then write the derivative in ...
  A: Questioner: Christine Category: Calculus Private: No Subject: CalculusThis has to do with ...
Basic differentiation - Chain Rule2/13/2008
  Q: This is on the Marginal Analysis in Business and Economics section. The question is to use the ...
  A: Questioner: Christine Category: Calculus Private: No Subject: CalculusThis is on the ...
Basic differentiation.2/13/2008
  Q: given the function f(x) = 10x + 3/x evaluate the derivative of f(x) at x = 3 How do I start this ...
  A: Questioner: Jill Category: Calculus Private: No Subject: Calculus: Differentiationsgiven ...
Functional notation2/12/2008
  Q: Suppose w = f(x) is the average daily quantity of water required by a tree of height x feet. 1. ...
  A: Questioner: Elaine Category: Calculus Private: No Subject: IntegrationSuppose w = f(x) is ...
Curve Sketching Problems2/11/2008
  Q: I am in Calculus 118, and I am in the 3 chapter right now. We have been assigned 5 different ...
  A: Questioner: Samantha Category: Calculus Private: No Subject: Curve Sketching ProblemsDear ...
Definition of Derivative2/11/2008
  Q: My question asks: Using the definition of the derivative, i.e. (f(x+h)-f(x)]/h and taking the ...
  A: Questioner: Andrew Category: Calculus Private: No Subject: Trigonometric Derivative..My ...
Induction2/7/2008
  Q: I really need help solving this proof. Prove by induction on n, that a^-n= (a^n)^-1 for any positive ...
  A: Questioner: Jen Category: Calculus Private: No Subject: Prove by inductionHi I really need ...
Volume by disks.2/7/2008
  Q: I am taking Integral Calculus and have the following problem. Find the Volume, V, of the solid ...
  A: Questioner: Danielle Category: Calculus Private: No Subject: Volume by IntegrationI am ...
Calculus - Tangent & Secant lines2/6/2008
  Q: given the function f(x) = 3x^2 +4x +12 find the slope of the line connecting (3,f(3)) and (5,f(5)). ...
  A: Questioner: Jill Category: Calculus Private: No Subject: Calculus - Tangent & Secant ...
Series - convergence2/5/2008
  Q: does the series from 1 to infinity of (1 - (2/n))^3n convegre or diverge. i've tried almost all the ...
  A: Questioner: sean Category: Calculus Private: No Subject: series converge or divergedoes ...
Related Rates Question2/5/2008
  Q: I have been studying related rates but this question confuses me as to what formula to use. A ...
  A: Questioner: Aly Category: Calculus Private: No Subject: Related Rates QuestionI have been ...
Permutations with repeated elements.2/3/2008
  Q: these are a few questions (Permutations) I have attempted.Could you please guide me if I am going ...
  A: Questioner: Jon Category: Calculus Private: No Subject: Mathshi.these are a few questions ...
Distance and velocity.2/2/2008
  Q: an object is moving in a striaght line awy from a fixed point on that line. Its distance (in fee) ...
  A: Questioner: Jennifer Category: Calculus Private: No Subject: Calculus: Distance s(t) ...
Curve sketching with derivatives.2/2/2008
  Q: Given the following conditions, sketch the given funcion a.) f(0)=f(2)=0 b.) f'(x)<0 if x<1 c.) ...
  A: Questioner: Julianne Category: Calculus Private: No Subject: calculusGiven the following ...
logistic growth1/31/2008
  Q: Biologist stocked a lake with 400 fish and estimated the carrying capacity (the maximum population ...
  A: Questioner: ann Category: Calculus Private: No Subject: logistic growthBiologist stocked a ...
Maximum-minimum problem.1/31/2008
  Q: I am having trouble figuring out this problem: Assume that operating cost of a certain truck ...
  A: Questioner: Jonathan Category: Calculus Private: No Subject: Most economical speed to ...
Limits and rationalizing.1/30/2008
  Q: Prove that: lim (1-cos x)/(x) = 0 (x --> 0) I know how to prove the first part of this ...
  A: Questioner: Al Category: Calculus Private: No Subject: Proof for a theoremProve that: lim ...
Part of torus volume1/29/2008
  Q: I am looking for an equation that would calculate the volume of a part of a Torus. I such a way as ...
  A: Questioner: Georges Category: Calculus Private: No Subject: Part of torus volumeI am ...
Limits - basic1/28/2008
  Q: I can't figure out the limit for this one.. f(x)=(x^2-3x-10)/(x^2+10x+16) lim as x approaches -2 ...
  A: Questioner: Aliya Category: Calculus Private: No Subject: limitsI can't figure out the ...
Work Applied on Spring1/28/2008
  Q: my first online question lol, here goes, Suppose that 2J of work is needed to stretch a spring from ...
  A: Questioner: Alan Category: Calculus Private: No Subject: Work Applied on Springmy first ...
Probability of Independent Events1/25/2008
  Q: Would you please help me with followingGiven two independent, fair 6-sided dice: (1) What is the ...
  A: Questioner: Sandy Category: Calculus Private: No Subject: DiceHi, Would you please help ...
Velocity and acceleration.1/24/2008
  Q: at time t=0 , a jogger is running at a velocity of 300 meters per minute. The jogger is slowing down ...
  A: Questioner: Ann Category: Calculus Private: No Subject: calculusat time t=0 , a jogger is ...
Trig Substitution1/24/2008
  Q: I am studying integration by trig substitution. I am asked to integrate [sqrt((x^2) + a^2)] / x I ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Trig SubstitutionI am studying ...
3rd degree polynomial...1/23/2008
  Q: If a polynomial has root at x=a , then x-a is a factor of the polynomial. Find a 3rd degree ...
  A: Questioner: Andrew Category: Calculus Private: No Subject: 3rd degree polynomial... ...
Calculus Readiness1/23/2008
  Q: I know you usually get baraged by a plethora of numbers, but I have a different math question. If I ...
  A: Questioner: Jacob Category: Calculus Private: No Subject: ReadinessHello! I know you ...
derivatives1/22/2008
  Q: I am working on this problem... but need help to proceed Find the absolute minimum of f(x)=100e^-x ...
  A: ANSWER: Questioner: vince Category: Calculus Private: No Subject: derivativesHi Paul, I am ...
derivatives1/22/2008
  Q: I am working on this problem... but need help to proceed Find the absolute minimum of f(x)=100e^-x ...
  A: Questioner: vince Category: Calculus Private: No Subject: derivativesHi Paul, I am ...
Trig substitution.1/21/2008
  Q: Using trig Substitution: I am to integrate 1/sqr((e^2x)-1) Because of this form I use the ...
  A: Questioner: Mark Category: Calculus Private: No ---------- FOLLOW-UP ----------I had let ...
Trig substitution.1/21/2008
  Q: Using trig Substitution: I am to integrate 1/sqr((e^2x)-1) Because of this form I use the ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Trig SubstitutionUsing trig ...
Maximum-minimum problem.1/19/2008
  Q: Can you help me with this one ... Find the area of the largest rectangle with sides parallel to the ...
  A: Questioner: vince Category: Calculus Private: No Subject: calculus - optimizationHi Paul, ...
calculus - second derivative, inflection point1/18/2008
  Q: If I have a function y=(3x-5)^k, where k is +ve and k>0 When will I have inflection points based on ...
  A: Questioner: vince Category: Calculus Private: No Subject: calculus - second derivative, ...
l'Hospital's rule.1/18/2008
  Q: if I have a function s(t) =t^3-3t^2+t+3 that describes distance of a particle from the origin on the ...
  A: Questioner: vince Category: Calculus Private: No Subject: calculusI have a question on ...
Total distance and max-min.1/17/2008
  Q: if I have a function s(t) =t^3-3t^2+t+3 that describes distance of a particle from the origin on the ...
  A: Questioner: vince Category: Calculus Private: No Subject: calculusif I have a function ...
Newton's Method1/16/2008
  Q: For Newton's Method, I can work easily if it was just one equation but this problem here, gave me ...
  A: Questioner: Elaine Category: Calculus Private: No Subject: Newton's MethodHello! For ...
Maximum-minimum problem.1/15/2008
  Q: A silo is to constructed in the form of a cylinder (only 1 of 2 bases included) topped by a ...
  A: Questioner: James Category: Calculus Private: No Subject: calculus with applicationsA silo ...
Functional notation1/13/2008
  Q: i have tried doing these three problems, but i cannot seem to get the answer. i would appreciate it ...
  A: Questioner: kacey Category: Calculus Private: No Subject: pre-calhi. i have tried doing ...
Basic curve sketching with derivatives.1/13/2008
  Q: Klarreich, I have two math questions that I have had difficulty answering. I would very much ...
  A: Questioner: Patsy Category: Calculus Private: No Subject: functionsDear Mr. Klarreich, I ...
Maximum-minimum problem - rowing & walking1/11/2008
  Q: this question confuses me.. 01. a man is in a boat 2 miles from the nearest point on the coast. he ...
  A: Questioner: alex Category: Calculus Private: No Subject: minimum timehello again. thank ...
Maximum-minimum problem.1/10/2008
  Q: 1) find the dimensions of the trapezoid of greatest area that can be inscribed in a semicircle of ...
  A: Alex, I know -- things like this strike terror into the hearts of many studnts. (Along with ...
Maximum-minimum problem.1/10/2008
  Q: A rectangle is bounded by the x-axis and the semicircle y = radical (25-x^2). What length and width ...
  A: Questioner: Elaine Category: Calculus Private: No Subject: Optimization ProblemA rectangle ...
Maximum-minimum problem.1/8/2008
  Q: I have a question concerning this problem: ...
  A: Questioner: Elaine Category: Calculus Private: No Subject: Optimization ProblemI have a ...
Trigonometric identities1/8/2008
  Q: find the value of sin(alpha + theta) if sin alpha= 3/5, cos theta= 12/13, 0 degrees < alpha < 90 ...
  A: Questioner: arlene Category: Calculus Private: No Subject: analysis of functionsfind the ...
Differentiation of exponential1/7/2008
  Q: I am trying to take the derivative of y=x^(x^x) Here goes. ln(y)=ln(x^(x^x))=(x^x) ln(x) ...
  A: Questioner: Mark Category: Calculus Private: No Subject: DifferentiationI am trying to ...
Maximum-minimum problem.1/7/2008
  Q: I’m struggling a bit in this topic in my Calculus class… 1) An open box of a maximum volume is to be ...
  A: Questioner: Elaine Category: Calculus Private: No Subject: AP Calculus: Optimization ...
Maximum-minimum problem.1/6/2008
  Q: A rectangle is to be inscribed in a right triangle with sides 6,8, and 10. Find the dimensions of ...
  A: Questioner: Allana Category: Calculus Private: No Subject: I need help asap!A rectangle is ...
Related Rates1/6/2008
  Q: please help me with the following problem: A man 5 ft tall walks at the rate of 5 ft/sec toward a ...
  A: Questioner: sinclair Category: Calculus Private: No Subject: related ratesHello professor, ...
Graphs and derivatives.1/5/2008
  Q: Hey, I am a first year calculus student. We are currently on the chapter with logarithmic ...
  A: Questioner: salim khan Category: Calculus Private: No Subject: Calculus first year ...
Inverse Trig Forms (Differentials)1/1/2008
  Q: My text book derives the differential of Arcsin(u/a) where a is a constant by: d(Arcsin u/a) = ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Inverse Trig Forms ...
Basic differentiation - Chain Rule12/31/2007
  Q: y=2sin^3(2x^4) I need to find to the derivative. I tried spliting it into y = 2sin(2x^4) * sin(2x^4) ...
  A: Questioner: Catia Category: Calculus Private: No Subject: Calculusy=2sin^3(2x^4) I need to ...
Difference quotient12/30/2007
  Q: I need to use the definition of the derivative to find the derivative of f(x)=1/(sqr rt x+1). I ...
  A: Questioner: Mike Category: Calculus Private: No Subject: DerivativesI need to use the ...
Studying Habits12/30/2007
  Q: When I study calculus, I can solve all the initial problems in the given exercises of topics. When I ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Studying HabitsWhen I study ...
Graphs and derivatives.12/29/2007
  Q: let f''(x)=4x^3-2x and let f(x) have critical numbers -1,0, and 1.Use the Second derivative test to ...
  A: Questioner: Joyice Harris Category: Calculus Private: No Subject: AP calculuslet ...
Graphs and derivatives.12/29/2007
  Q: What are the values of x that give relative extrema for the function f(x)=3x^5-5x^3
  A: Questioner: Joyice Harris Category: Calculus Private: No Subject: AP calculusWhat are the ...
Integration12/28/2007
  Q: Let R be the region in the first quadrant under the graph of y = 1/square root of x for 4 <or equal ...
  A: Questioner: Stephano Category: Calculus Private: No Subject: AP CalculusLet R be the ...
Volume by disks.12/28/2007
  Q: The link to the graph is: http://img409.imageshack.us/img409/2923/areaoi2.jpg The shaded regions R1 ...
  A: Questioner: Stephano Category: Calculus Private: No Subject: AP CalculusThe link to the ...
Velocity and acceleration.12/27/2007
  Q: A particle moves along the x-axis in such a way that its acceleration at time t for t is greater ...
  A: Questioner: Stephano Category: Calculus Private: No Subject: AP CalculusA particle moves ...
Integration12/21/2007
  Q: I am trying to integrate (1-sin x)/(1+cos x). I have reviewed all my my trig identities, but to no ...
  A: Questioner: Mark Category: Calculus Private: No Subject: IntegrationI am trying to ...
optimization problems for my AP calc class12/17/2007
  Q: http://en.allexperts.com/q/Calculus-2063/Application-Differentation.htm i was looking at this ...
  A: ANSWER: Hi, Sara, I think I got it right. I find this in the answer: ...
optimization problems for my AP calc class12/16/2007
  Q: http://en.allexperts.com/q/Calculus-2063/Application-Differentation.htm i was looking at this ...
  A: Sara, I think I got it right. I find this in the answer: ======================================= ...
Max-Min12/9/2007
  Q: Calculus 1: The sum of a number and twice another number is 10. Find the largest possible product. ...
  A: Questioner: Courtney Category: Calculus Private: No Subject: Help!Calculus 1: The sum of ...
Critical points of a graph.12/8/2007
  Q: I have to graph the equation f(x)=x+ (32/x^2) and I am confused because I do not know how to find ...
  A: Questioner: Annie Category: Calculus Private: No Subject: Finding critical #Hi, I have to ...
Max-Min; Previously Posted Question12/8/2007
  Q: http://en.allexperts.com/q/Calculus-2063/Maximum-minimum-problems-2.htm?zIr=5 For that problem, I ...
  A: Questioner: Casey Category: Calculus Private: No Subject: Previously Posted ...
What is chain and power rule?12/7/2007
  Q: What is chain and power rule? and how can I memorize this easily? Is there a verbal words that can ...
  A: Questioner: Abigail Category: Calculus Private: No Subject: What is chain and power ...
Understanding Calculus12/7/2007
  Q: Derivatives help to determine when a function is increasing or decreasing, concave up or concave ...
  A: Questioner: Abigail Category: Calculus Private: No Subject: Understanding ...
Integration applications.12/6/2007
  Q: At time t, t is greater than or equal to zero, the volume of a sphere is increasing at a rate ...
  A: Questioner: William Category: Calculus Private: No Subject: AP CalculusAt time t, t is ...
Related Rates--Circles12/6/2007
  Q: OK, so I'm having a really hard time with this problem. I've never been good with parametric ...
  A: Questioner: Brittany Category: Calculus Private: No Subject: Related Rates--CirclesOK, so ...
Graph sketching.12/5/2007
  Q: I have no clue how to do this problem and i've been working on it for quit a while now. graph for ...
  A: Questioner: jess Category: Calculus Private: No Subject: calculus homework questionI have ...
Integration applications.12/4/2007
  Q: I am having trouble with the following problem... function f(x)= x^2+1 a) find the approximate area ...
  A: Questioner: Danielle Category: Calculus Private: No Subject: calculus problemI am having ...
Related rates12/4/2007
  Q: I'm having a hard time with a related rates problem and i can't seem to find out how to do it ...
  A: Questioner: Sarah Category: Calculus Private: No Subject: related rates! >> Let's not get ...
Business Calculus12/3/2007
  Q: the question is: given marginal revenue R'(x)= 10 and marginal cost C'(x)= 80-0.1x Fixed cost are ...
  A: Questioner: Dyan Category: Calculus Private: No Subject: Business Calculusthe question is: ...
applying derivatives.12/2/2007
  Q: Please help me with my calculus problems. 8. the amount of illumination is proportional to the ...
  A: Questioner: Punjab Category: Calculus Private: No Subject: applying derivatives.Please ...
Max/Min using trig functions12/2/2007
  Q: I am studying a Chapter on "Differentiation of Transcendental Functions". My problem is to solve ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Max/Min using trig functionsI am ...
Indeterminate forms, l'Hospital's Rule12/1/2007
  Q: I am needing help with another of my homework problems. Can you please tell me how I should go about ...
  A: Questioner: Danielle Category: Calculus Private: No Subject: Indeterminate limitsHello, I ...
Max/Min12/1/2007
  Q: I have to find the are of the largest rectangle with a perimeter of 12 feet. I set up the ...
  A: Questioner: Mark Category: Calculus Private: No Subject: Max/Min using trig functionsI ...
Integration applications.11/30/2007
  Q: I have three questions that I really need help with. The book I'm using does not show how to solve. ...
  A: Questioner: Cindy Category: Calculus Private: No Subject: CalculusHello and good ...
Related Rates: Angle Problems11/30/2007
  Q: I'm having a really tough time understanding problems where the angle is changing. I thought I ...
  A: Questioner: Mike Category: Calculus Private: No Subject: Related Rates: Angle ProblemsI'm ...
Derivative of inverse trig functions and e^x11/29/2007
  Q: I'm having trouble with a calculus homework question. The answer that I derived is not one of the ...
  A: Questioner: Danielle Category: Calculus Private: No Subject: Derivative of inverse trig ...
folding a rectangular piece of paper11/29/2007
  Q: Cut a standard 8.5 x 11 piece of paper into a strip of length 8.5 inches. The width is irrelevant. ...
  A: Questioner: Max Category: Calculus Private: No Subject: folding a rectangular piece of ...
Related Rates11/28/2007
  Q: the I got stuck with the followingA ship K, is sailing due north at 16 km/h, and a second ship R, ...
  A: Questioner: Ruedi Category: Calculus Private: No Subject: Simple Related Rates problemHi. ...
Continuous Compound Interest11/27/2007
  Q: I am taking a beginning calculus class and I have a questions concerning determining the annual % ...
  A: Questioner: Danielle Category: Calculus Private: No Subject: Calculus: Compound ...
Area between two curves.11/26/2007
  Q: Find the area of the region bounded by the curves: y = 8x^2 y = the square root of x
  A: Questioner: Alex Category: Calculus Private: No Subject: calculus: the definite ...
Function defined as an integral.11/25/2007
  Q: I'm not quite sure if this question is an application of the Mean Value Theorem, but I don't think ...
  A: Questioner: Mark Category: Calculus Private: No Subject: CalculusI'm not quite sure if ...
Velocity and acceleration11/24/2007
  Q: we have a graph of the position function of a moving particle. how do we determine when: a) the ...
  A: Category: Calculus Private: No Subject: calculus moving particle questionwe have a graph of ...
Derivative of tan x11/23/2007
  Q: I have a question about how to make the verfication of the derivative of tan(x) with the lim ...
  A: Questioner: Antonio Category: Calculus Private: No Subject: derivates-trigonometryI have a ...
Graph sketching.10/19/2007
  Q: Graph the equation y=(ax+b)/(x^2-c)and find what a, b, and c are Conditions: y(-x)=x (Someone said ...
  A: Questioner: Sara Category: Calculus Private: No Subject: calculus ABGraph the equation ...
Velocity and acceleration10/19/2007
  Q: Again I need help...An astronaut standing on the moon throws a rock into the air. The height of the ...
  A: Questioner: Bryce Category: Calculus Private: No Subject: Velocity and acceleration.Again ...
Maximum-minimum problems10/18/2007
  Q: A manufacturer wants to design an open-top box having a square base and a surface area of 108 square ...
  A: Questioner: Ashley White Category: Calculus Private: No Subject: Optimization << I changed ...
Limits and continuity10/18/2007
  Q: Using the sandwich theorem, show that lim x->0 x^4(1-cosx)=0
  A: Questioner: Maria Category: Calculus Private: No Subject: questionUsing the sandwich ...
Related rates10/17/2007
  Q: The wind is carrying a balloon west at a constant speed of 100 ft/min. Meanwhile the balloon is ...
  A: Questioner: Korey Category: Calculus Private: No Subject: CalculusThe wind is carrying a ...
Related rates10/17/2007
  Q: Please help. A particle is moving along the graph of y=^3square root of x. When x=8, the y ...
  A: Questioner: Bryce Category: Calculus Private: No Subject: GraphsPlease help. A particle ...
Tangent lines10/16/2007
  Q: Could you help me with this? Graph the two parabolas y=x^2 and y=-x^2+2x-5 in the same coordinate ...
  A: Questioner: Bryce Category: Calculus Private: No Subject: CalculusCould you help me with ...
Intermediate Value10/16/2007
  Q: I needed help with the following problem: Given that f(x)=x^4-x^2+5x+2, show that there exist at ...
  A: Questioner: Dragos Category: Calculus Private: No Subject: Calculus IHi I needed help ...
Table of Integral Proofs10/15/2007
  Q: I am going over a table of integrals, and trying to see how some of the formulas were derived so ...
  A: Questioner: Doug Category: Calculus Private: No I am going over a table of integrals, and ...
Parametric equations10/14/2007
  Q: differentiation of implicit functions are simple no? but what happens when a function x = (1 t)^1/2 ...
  A: Questioner: liz Category: Calculus Private: No Subject: calculusdifferentiation of ...
Implicit differentiation.10/14/2007
  Q: seemingly simple differentiation giving me a head ache. the formula is arctan y/x = ln (x^2 ...
  A: Questioner: Eliza Category: Calculus Private: No Subject: Calculusseemingly simple ...
Derivatives - product and chain rule.10/13/2007
  Q: i can't seem to get the differential of the formula y= x/2 (cos lnx + sin lnx), i started by using ...
  A: Questioner: ZEE Category: Calculus Private: No Subject: calculusI can't seem to get the ...
Continuous functions10/13/2007
  Q: for f(x) =2x^(5/3) - 5x^(4/3)how can I prove whether or not there is a vertical asymptote? Thank ...
  A: Questioner: Andrew Category: Calculus Private: No Subject: Calculus 1for f(x) = 2x^(5/3) - ...
Trigonometric functions10/12/2007
  Q: *Find cscx if cosx=2sqrt6/7 and x lies in quadrant I specific number answer *Find cos(2x) if ...
  A: Questioner: Danixa Category: Calculus Private: No Subject: Pre-Calculus*Find cscx if ...
Trigonometric Identities10/12/2007
  Q: sinxcos^3x-cosxsin^3x=1/4sin4x Verify the identity. Thanks a million! These identities are killing ...
  A: Questioner: Cherry Category: Calculus Private: No Subject: trig ...
Trigonometric Identities10/11/2007
  Q: I keep on ending up at a dead end with these two problems. Can you help me? sec(x)csc(x)/ tan(x)+ ...
  A: Questioner: Daniel Garcia Category: Calculus Private: No Subject: Please help me solve ...
Related rates10/10/2007
  Q: Could you help me with this question. If the edge of a metal cube is decreasing at a rate of ...
  A: Questioner: Bryce Category: Calculus Private: No Subject: Decreasing rate of a cubeCould ...
Trigonometric Identities10/10/2007
  Q: I am having trouble with these two problems. Please help. I appreciate any I can get. Here are the ...
  A: Questioner: Cherry Category: Calculus Private: No Subject: trig identitiesI am having ...
Limits10/9/2007
  Q: I had Calculus many, many years ago. As my son takes Calculus, I'm working some of the problems to ...
  A: Questioner: John Category: Calculus Private: No Subject: LimitsI had Calculus many, many ...
integration10/8/2007
  Q: Umm sry Mr Klarreich, but i typed that last problem wrong. See it wasnt as easy as the one I gave ...
  A: Questioner: Jeff Category: Calculus Private: No Subject: integrationUmm sry Mr Klarreich, ...
integration problems10/8/2007
  Q: Hey Paul or Mr Klarreich (whatever you prefer) thanks for helping me. So I have four difficult ...
  A: Questioner: Jeff Category: Calculus Private: No Subject: integration problemsHey Paul or ...
Limits10/7/2007
  Q: My teacher sucks hard. Im basically trying to self-teach calculus. I'm stuck up on limits. Is there ...
  A: Questioner: Alex Category: Calculus Private: No Subject: Limits ---------- FOLLOW-UP ...
Limits10/7/2007
  Q: My teacher sucks hard. Im basically trying to self-teach calculus. I'm stuck up on limits. Is there ...
  A: Questioner: Alex Category: Calculus Private: No Subject: Precalc/Calc limit questionsMy ...
Trigonemetry - sine curves10/5/2007
  Q: I really need help for my math homework. Here is the problem. h(t)= 13sin(4tpi-(pi/2)) + 13 The ...
  A: Questioner: simhadri Category: Calculus Private: No Subject: homework helpHi,I really need ...
Domain of a function.10/5/2007
  Q: How do you find the domain of a function with a square root in it for example f(x)= sqr x(x-1) I ...
  A: Questioner: Veronica Category: Calculus Private: No Subject: Calculus problemHow do you ...
Infinite series, with a moral10/4/2007
  Q: show the infinite series has the values S=4 at x=1/2: S=1+2x+3x^2 =4x^3...
  A: Questioner: Greg Category: Calculus Private: No Subject: infinite seriesshow the infinite ...
differentiation10/4/2007
  Q: differentiate sinx+cosx=1.5 w.r.t cosx
  A: Questioner: vishnu Category: Calculus Private: No Subject: differentiationdifferentiate ...
Velocity and acceleration10/3/2007
  Q: If a gun is fire with angle 30 Degrees(*) and Vo 500m/sec. when will the Bullet hit the ground. What ...
  A: Questioner: Israel Category: Calculus Private: No Subject: Need some help parametric ...
Inverses of functions9/25/2007
  Q: If g(x)= 3+x+e^x find g^(-1) when x=4
  A: Questioner: manju Category: Calculus Private: No Subject: calculusIf g(x)= 3+x+e^x find ...
Centroid of a sector.9/24/2007
  Q: Paul Klarreich I am an Assistant Engineer, and gone through your reply to Mr.Aswin Kumar Dated ...
  A: Questioner: Pachamuthu Category: Calculus Private: No B. Do you mean that you will take a ...
Integration by Parts9/24/2007
  Q: How would I integrate sin(sqrt x)dx?
  A: Questioner: Emily Category: Calculus Private: No Subject: Calculus - Integration by ...
Volume of Torus which has circular segment cross section9/23/2007
  Q: Paul Klarreich I am an Assistant Engineer, and gone through your reply to Mr.Aswin Kumar Dated ...
  A: Questioner: Pachamuthu Category: Calculus Private: No Subject: Volume of Torus which has ...
Linear programming9/23/2007
  Q: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of ...
  A: Questioner: fred Category: Calculus Private: No Subject: algebraA small company produces ...
Maximum-minimum problems9/22/2007
  Q: I am attempting to find how to solve the problems for someone who does not have access to the ...
  A: Questioner: Dorothy Category: Calculus Private: No Subject: Minimum Maximum, Optimization ...
Calculus-Tangent Lines, Area9/20/2007
  Q: Let (a,b) be an arbitrary point on the graph y=1/x, x>0. Prove that the area of the triangle formed ...
  A: Questioner: Austin Category: Calculus Private: No Subject: Calculus-Tangent Lines, AreaLet ...
Limit proofs - delta-epsilon9/20/2007
  Q: prove ,if limit of a function f(x) as x approaches 'a' is 'L' than 'L' is unique.
  A: Questioner: prem Category: Calculus Private: No Subject: limitprove ,if limit of a ...
Uniform continuity9/19/2007
  Q: Prove ,If function 'f' is continuous on a closed set 'D',then 'f' is uniformly continuous on 'D'.
  A: Questioner: prem Category: Calculus Private: No Subject: continuityProve ,If function 'f' ...
Tangent lines9/19/2007
  Q: ok im supposed to do this problem. Graph two parabolas y=x^2 and y=-x^2+2x-5 in the same ...
  A: Questioner: Jeff Category: Calculus Private: No Subject: differentiationok im supposed to ...
limits9/17/2007
  Q: limit as x approaches 0 of x/sin3x. I want to figure it out without using L'hopitals rule. Is that ...
  A: Questioner: Lauren Category: Calculus Private: No Subject: limitslimit as x approaches 0 ...
Limits - calc 19/17/2007
  Q: I am confused on what this problem is asking. It says make a guess at the limit (if it exists) by ...
  A: Questioner: Jason Category: Calculus Private: No Subject: Limits - calc 1I am confused on ...
Calculus, Squeeze Theorem9/16/2007
  Q: Im learning the squeeze/sandwich theorem and am having trouble with proving a particular limit. ...
  A: Questioner: Micah Category: Calculus Private: No Subject: Calculus, Squeeze TheoremHi, Im ...
calculus: limit proofs9/16/2007
  Q: The two problems are the following: Give the proof of a limit for a linear function,and the proof ...
  A: Questioner: Len Category: Calculus Private: No Subject: calculus: limit proofsThe two ...
Tangent lines9/15/2007
  Q: 1. There are two tangent lines to the curve y = 4x - x^2 that go through 2,5. Find the equations of ...
  A: Questioner: Casey Category: Calculus Private: No Subject: Calculus problems1. There are ...
Trigonometric Identities9/14/2007
  Q: I am not sure that you would be the right person to ask but I was just wondering if you knew how I ...
  A: Questioner: Cathrine Category: Calculus Private: No Subject: calc problemI am not sure ...
Complex fraction9/13/2007
  Q: 1) A store advertised that during its Labor Day sale $15 will be deducted from every purchase over ...
  A: Questioner: Ruth Category: Calculus Private: No Subject: Math Pre-Calc1) A store ...
Vector addition.9/13/2007
  Q: ABCDEF is a regular hexagon with sides of unit length. Find the magnitude and direction of ...
  A: Questioner: KN Category: Calculus Private: No Subject: CalculusABCDEF is a regular hexagon ...
Basic derivatives9/12/2007
  Q: I am having some problems with the following questions of derivatives. If you can please show me ...
  A: Questioner: Sarah Category: Calculus Private: No Subject: Calculus- functions and useHello ...
Horizontal asymptotes9/12/2007
  Q: why can a graph not have any more than two vertical asymptotes on it?
  A: Questioner: MariAnne Category: Calculus Private: No Subject: horizontal asymptoteswhy can ...
Related rates9/11/2007
  Q: I have two questions: 1) The rate of change of electric charge with respect to time is called ...
  A: Questioner: Alex Category: Calculus Private: No Subject: Calculus-derivativesI have two ...
Integration by parts.9/10/2007
  Q: Im doing integration by parts and im stock at this problem The problem is Ln(2x+1)dx the formula is ...
  A: Questioner: Israel Category: Calculus Private: No Subject: need some help to solve my ...
Inverses of functions9/10/2007
  Q: So my homework is on much more difficult material than this, but I am completely perplexed by this ...
  A: Questioner: Melissa Category: Calculus Private: No Subject: Calculus II (Analytic ...
Basic derivatives9/9/2007
  Q: I'd really appreciate if you could help me with this, I have this calc. packet that I completed most ...
  A: Questioner: Stephanie Category: Calculus Private: No Subject: calc quest. please helpHi, ...
Differential equations and transforms9/9/2007
  Q: I am mahima from India. I came to know about this site by search engine. I am so happy to post my ...
  A: Mahima, That's a lot of questions all at once, so I'll see what I can do right now and you may have ...
calculus9/8/2007
  Q: I am mahima from India. I came to know about this site by search engine. I am so happy to post my ...
  A: Questioner: mahima Category: Calculus Subject: calculushello sir, I am mahima from India. I ...
Definition of the derivative9/7/2007
  Q: Find the slope of the tangent to the curve y = 3 + 4x^2 - 2x^3 at the point where x = a.
  A: Questioner: Christine Category: Calculus Private: No Subject: derivatives and rates of ...
Graph sketching by translation, etc.9/6/2007
  Q: Paul, I have been stumped on this question for way too long and I dont know where to start anymore. ...
  A: Questioner: Jason Category: Calculus Private: No Subject: Review For calculusPaul, I have ...
Basic derivatives9/6/2007
  Q: could you please give me the derivatives formulas and a example of how to use the quotient rule ...
  A: Questioner: Elmer Category: Calculus Private: No Subject: derivativescould you please give ...
Definition of Limit9/5/2007
  Q: I'm 15 and taking Calculus this year. We did a little bit with limits and derivatives and such last ...
  A: Questioner: Brianna Category: Calculus Private: No Subject: Determining Limit Existence ...
Calculus l8/17/2007
  Q: I'm attempting to learn Calculus l on my own, after being out of school 30 years and most of the ...
  A: John, Try this: lim x^2 sin^2(10x) x->0 [I assume that is what you meant to write.] For all x, ...
Limits8/17/2007
  Q: I'm trying to learn Calculus on my own after being out of school 30 year. Problem is most things I ...
  A: John, I will be back from vacation status in about 3 weeks, then you can send me questions ...
Integration8/12/2007
  Q: Please solve the Integration of x(5+x)^1/2. Thanks
  A: Kkifah, Try something called a 'Rationalizing Substitution.' u = sqrt(5 + x) u^2 = 5 + x x = u^2 - ...
Integration methods.7/18/2007
  Q: I am studying integration. My class has covered both differentiation and antidifferentiation (which ...
  A: Questioner: Martin Category: CalculusI am studying integration. My class has covered both ...
Ellipses7/17/2007
  Q: a stadium is to be built with the stands in the form of two concentric ellipses. The outer ellipse ...
  A: Questioner: Brian Category: Calculusa stadium is to be built with the stands in the form of two ...
Parametric equations7/16/2007
  Q: I am having trouble trying to figure out how approach this problem; How would you go about solving ...
  A: Questioner: kerel Category: CalculusHi, I am having trouble trying to figure out how approach ...
Limits and continuity7/15/2007
  Q: Calc I Class - lim as t approaches -1 (t^2+1)^3(t+3)^5 there were hints given but I am just not ...
  A: Questioner: Suzi Category: Calculus Private: No Subject: Calculus - limitsCalc I Class - ...
Conic sections7/15/2007
  Q: (conics)"Find the foci of an ellipse with the equation: 7(x-2)^2+3(y-2)^2=21. I think it might be ...
  A: Questioner: Alexandria Category: Calculus(conics)"Find the foci of an ellipse with the equation: ...
l'Hospital's rule, one-sided limits7/13/2007
  Q: The question is lim x->0negative (tan x) / x^2 (oh and the limit at 0 with the little negative sign ...
  A: Questioner: kita Category: CalculusThe question is lim x->0negative (tan x) / x^2 (oh and the ...
Maximum-minimum problems7/12/2007
  Q: This is a optimization problem. A conical paper cup usually made so that the depth is square root of ...
  A: Questioner: jose Category: CalculusThis is a optimization problem. A conical paper cup is ...
Limit proofs - delta-epsilon7/11/2007
  Q: how do you prove(using the formal definition of a limit) limit of sinx, as x approaches a, equals ...
  A: Questioner: Julia Category: Calculushow do you prove(using the formal definition of a limit) ...
Limits and continuity7/10/2007
  Q: Paul. I´m father the universitary son. I like help to answer the problem the calculus the mi son ...
  A: Questioner: Mario Monge Category: Calculus Subject: finding limitHi, Paul. I´m father the ...
optimization problem7/10/2007
  Q: its for finding minimum cost: the cost of fuel to propel a boat through the water (in dollars per ...
  A: Questioner: kaitlin Category: Calculushi i have this optimization problem that i'm having a lot ...
Inverses in Group Theory7/6/2007
  Q: Im trying to prove that the inverse of a matrix is unique i think i came up with a solution but im ...
  A: Andrew,hi thanks ..the solution is clear ....I just wondered how you would interpet the Equation ...
Inverses in Group Theory7/4/2007
  Q: Im trying to prove that the inverse of a matrix is unique i think i came up with a solution but im ...
  A: Questioner: andrew Category: Calculus Private: No Subject: linear algebraIm trying to ...
Surface Area7/4/2007
  Q: A doughnut is big enough to be fitted perfectly in a rectangular box of dimensions 4 in x 4 in x 1 ...
  A: Questioner: Angela Category: CalculusA doughnut is big enough to be fitted perfectly in a ...
Limit of sin x / x7/2/2007
  Q: F(x)=(Sinx)/x when x approaches 0 1. Study Left Hand and Right Hand Limit 2. Conclude your result ...
  A: Questioner: Umair Category: CalculusF(x)=(Sinx)/x when x approaches 0 1. Study Left Hand and ...
Absolute max and min7/1/2007
  Q: find absolute max and min of y=xe^-2x^2 on interval [o,5]
  A: Questioner: rossfind absolute max and min of y=xe^-2x^2 on interval [o,5] ...
Optimization problems7/1/2007
  Q: find dimensions of a rectangle with area 1000m2 whose perimeter is as small as possible
  A: Questioner: candace Category: Calculus Subject: calculus optimizationfind dimensions of a ...
Finding extreme values.6/30/2007
  Q: Find the critical numbers for the function in the indicated interval, and locate the absolute ...
  A: Questioner: Ashley Category: Calculus Subject: i need help! << NOT A USEFUL SUBJECT LINEFind ...
Improper Integrals6/29/2007
  Q: I just can't figure out where to begin with this problem... It's Integral from 0 to inf. of ...
  A: Questioner: Annie Category: Calculus Subject: Calculus 2: Improper IntegralsHello! I just ...
Reduction Formula: Again6/28/2007
  Q: PreviousHi Paul! Can you help me with a correct manner of obtaining the reduction formula for this: ...
  A: There is an old trick that is useful here. When you have something like x^2, and you WANT x^2 + ...
Related Rates5/30/2007
  Q: A bungee jumper has reached a point in her exciting plunge where the taught cord is 100 ft long with ...
  A: Questioner: Erica Category: CalculusA bungee jumper has reached a point in her exciting plunge ...
Growth and decay problems.5/30/2007
  Q: Newton's law of cooling states that the rate at which an object cools is directly proportional to ...
  A: Questioner: Erica Category: CalculusNewton's law of cooling states that the rate at which an ...
Maximum-minimum problem.5/29/2007
  Q: A rectangular field is surrounded by 240m of fencing on three sides. the other side is a hedge where ...
  A: Questioner: alex Category: CalculusA rectangular field is surrounded by 240m of fencing on three ...
Related Rates5/29/2007
  Q: !! I already tried those excercises, but I can't get the right answers. And I hope u can help me. ...
  A: Questioner: Sorina Category: CalculusHi Paul!!! I already tried those exercises, >> What ...
Graph of a parabola5/28/2007
  Q: I have a really simple question - what is the formula for calculating the y-value of a turning point ...
  A: Questioner: Elizabeth Category: Calculus Subject: Calculus << Not really.I have a really ...
Graphs and derivatives.5/28/2007
  Q: The graph of the function f shown consists of six line segments. Let g be the function given by ...
  A: I did mess up on the one ordered pair. It should have been (0,-2) and not(-2,0). So, all segments ...
Maximum-minimum problem.5/27/2007
  Q: 1- Find two numbers x and y whose sum is A such the sum of their square is minimum. 2- Find the ...
  A: Questioner: Clyde Category: Calculus1- Find two numbers x and y whose sum is A such the sum of ...
Graphs and derivatives.5/27/2007
  Q: The graph of the function f shown consists of six line segments. Let g be the function given by ...
  A: Questioner: Colleen Category: Calculus Private: NoThe graph of the function f shown consists ...
infinite sequences5/26/2007
  Q: i'm studying calculs 102, and i have a 2nd hour exam on sunday, and i need some help with some ...
  A: Followup: A sequence is a LIST: a function whose domain is the positive integers. So when we write ...
infinite sequences5/25/2007
  Q: i'm studying calculs 102, and i have a 2nd hour exam on sunday, and i need some help with some ...
  A: Questioner: Ibrahim Category: Calculus Subject: infinite sequenceshello Paul, i'm studying ...
Maximum-minimum problem - rowing & walking5/25/2007
  Q: I haven't been able to find an example to help me with this problem. A woman at a point A on the ...
  A: Questioner: Jill Category: Calculus Subject: optimizationI haven't been able to find an ...
Critical points5/24/2007
  Q: Find the critical numbers of the function G(x) = X^1/3 - X ^-2/3 G(x) = ¡Ìt (1-t) Find the ...
  A: Questioner: tedFind the critical numbers of the function G(x) = X^1/3 - X ^-2/3 G(x) = ¡Ìt ...
Trigonometric equations5/24/2007
  Q: I'm Travis and I desperatly need your help. Ok, I have 5 questions on solving trig equations for ...
  A: Questioner: Travis Category: Calculus Subject: pre-cal questionshello, I'm Travis and I ...
Arc length of sine wave5/23/2007
  Q: I am trying to find the arc length of a sine wave and need help with the following integration: ...
  A: Questioner: Jo Subject: Arc length of sine waveI am trying to find the arc length of a sine ...
Growth and decay problems.5/23/2007
  Q: A Pizza, heated to a temperature of 350 degrees(F), is taken out of an oven and placed in a 75 ...
  A: Questioner: Colleen Category: CalculusA Pizza, heated to a temperature of 350 degrees(F), is ...
Related Rates5/22/2007
  Q: 1- A point is moving along the curve y=sqrt(x)in such a way that its y coordinate is increasing at ...
  A: Questioner: Antonio Category: Calculus1- A point is moving along the curve y=sqrt(x)in such a ...
Graphs and derivatives.5/21/2007
  Q: The graph of function f consists of three line segments with the points (-2,0) (1,4) (2,1) and ...
  A: Questioner: Marcella Category: Calculus Subject: calculusThe graph of function f consists ...
Analytic geometry - circles5/21/2007
  Q: (i)Find the coordinates of the centre and the radius of the circle x^2+2x+y^2-4y=4 (ii)by writing ...
  A: Questioner: jon Category: Calculushi i am faced with the following question. (i)Find the ...
Chain Rule5/20/2007
  Q: let f(x)=g(h(x)), where h(2)=3,h'(2)=4, g(3)=2, and g"(3)=5. find f'(2)
  A: Questioner: bhavika Category: Calculus Subject: calculuslet f(x)=g(h(x)), where ...
Inverses of functions.5/20/2007
  Q: let f(x)=x^5+x. find the value of d/dxf^-1(X)at x=2. f^-1 (x) is inverse of f
  A: Bhavika, Here is an extract from an answer sent to another questioner. It is quite similar to ...
Mixture Problem5/19/2007
  Q: I have one of those damn mix these nuts with those nuts and then you get these nuts, etc. problems ...
  A: Questioner: Sam Category: Calculus Subject: Pre-calcHi, I have one of those pesky mix these ...
Calculus5/18/2007
  Q: Let f be the function defined by f(x)=x^3 x. If g(x) = f^-1(x) and g(2)=1, what is the value of ...
  A: Colleen, That still does not make sense, BUT, based on the other things you wrote, I think you ...
Calculus5/18/2007
  Q: Let f be the function defined by f(x)=x^3 x. If g(x) = f^-1(x) and g(2)=1, what is the value of ...
  A: Questioner: Colleen Category: Calculus Private: No Subject: CalculusLet f be the function ...
Integration5/17/2007
  Q: integrate 0 from pi/4 tan^(2)xdx
  A: Questioner: bhavika Category: Calculus Subject: integrationintegrate 0 from pi/4 tan^(2)xdx ...
Related Rates5/17/2007
  Q: 1- The radius of the base of a right circular cone is decreasing at the rate of 4 in/min, and the ...
  A: Questioner: Anthony Category: Calculus1- The radius of the base of a right circular cone is ...
Inequalities5/16/2007
  Q: (i)Find a,b E R such that [[(3x)/(x+1)] - 2]=(ax+b)/(x+1) where x not=-1 AND (ii) HENCE, find range ...
  A: Questioner: jon Category: Calculus Subject: math problemhi i have this question i am ...
Miscellaneous calculus questions5/16/2007
  Q: 1) let f and g be odd functions. if p, r, and s are nonzero functoins defined as follows, which ...
  A: Questioner: Cobb Category: Calculus1) let f and g be odd functions. if p, r, and s are nonzero ...
Continuity, domain, range.5/15/2007
  Q: the diagram is one of a graph of the function f(x)=(x^2)+1,-1<=x<=1 and p,q E(element) R.(i)find ...
  A: Questioner: jon Category: Calculus Private: No Subject: math problemhi i am trying to ...
Integral5/14/2007
  Q: Im having some trouble calculating the integral of 1/[(x+1)sqrt(x^2+a^2-1)] for a>0 from 1 to ...
  A: Questioner: mohammed Category: Calculus Subject: funny inverse integralIm having some ...
Areas and volumes by integration.5/13/2007
  Q: let R be the region enclosed by the graphs of by=cost(x^2) and by=x^2. a). set up and evaluate an ...
  A: Questioner: bhavika Category: Calculus Subject: calculuslet R be the region enclosed by the ...
Volumes by integration.5/13/2007
  Q: the base of a solid S is the shaded region in the xy-plane enclosed by the x-axis, the y-axis, and ...
  A: Questioner: bhavika Category: Calculus Subject: calculusthe base of a solid S is the shaded ...
Differential equation of decay.5/10/2007
  Q: When a sperical mint is sucked, a simple model gives the rate of decrease of its radius as inversely ...
  A: Questioner: Mo Category: CalculusWhen a spherical mint is sucked, a simple model gives the rate ...
Growth and decay problems.5/9/2007
  Q: Phoebe is returning to earth in her spaceship when she detects an oxygen tank leak. She knows that ...
  A: Questioner: Colleen Category: Calculus Subject: CalculusPhoebe is returning to earth in her ...
The tangent line approximation.5/9/2007
  Q: Function y=f(x) is defined by 5sqrt(x)+xy+y^3=11? a). find an expression for f'(x)=dy/dx in terms ...
  A: Questioner: bhavika Category: Calculus Private: No Subject: calculusFunction y=f(x) is ...
Related Rates5/8/2007
  Q: 1- A 4-m ladder is leaning against vertical wall. If the bottom of the ladder is pulled away from ...
  A: Questioner: Antonio Category: Calculus Private: No Subject: Calculus1- A 4-m ladder is ...
Related Rates5/8/2007
  Q: 1- The three dimension of a box are increasing at the rate of 5 cm/min, 7 cm/min, and 2 cm/min. At ...
  A: Questioner: Antonio Tando Category: Calculus1- The three dimension of a box are increasing at ...
Fractional Integral5/7/2007
  Q: I am having some problem solvong this integral. Looks simple, but i cant get it right; please help. ...
  A: Questioner: mohammad Category: Calculus Subject: Fractional IntegralHello Sir I am having ...
Exponential growth and decay,5/6/2007
  Q: An economist studying the price changes of a particular commodity uses the model for which dP/dt ...
  A: Questioner: Maureen Category: CalculusAn economist studying the price changes of a particular ...
Volume of a solid of revolution by cylindrical shells5/6/2007
  Q: Rotate around the y-axis the region above the graph of y=x^3 that is bounded by the lines x=1 and ...
  A: Questioner: Colleen Category: Calculus Subject: Volume of a solid of revolution by ...
Basic integration5/5/2007
  Q: The maginal cost of printing a poster when x posters have been printed is dc/dx = 1/2x^1/2 dollars. ...
  A: Questioner: linda Category: Calculus Private: No Subject: calculus(integration)The maginal ...
Basic integrals.5/5/2007
  Q: Suppose that a company's maginal revenue from the manufacture of egg beaters is dr/dx = 2-2/(x + 1), ...
  A: Questioner: zagas Category: CalculusSuppose that a company's maginal revenue from the ...
Infinite series5/4/2007
  Q: For waht values of a, if any, do the series converge? segma from n=1 to infinity ( (1/(n-1) - ...
  A: Questioner: Ibrahim Category: Calculus Subject: Infinite sequences and seriesHi, For what ...
Rationalizing a denominator.5/4/2007
  Q: i'm working on this problem... C(x)= 50/square root of x fixed cost= 25000 and i need to find the ...
  A: Questioner: amy Category: Calculus Subject: super lostI'm working on this problem... C(x)= ...
Continuous Multipart Functions5/3/2007
  Q: let f be defined as follows, where a not equal to 0, f(x)={x^2-a^2)/(x-a) for x not equal a, and 0, ...
  A: Questioner: bhavika Category: Calculus Private: No Subject: calculuslet f be defined as ...
Curve sketching with derivatives.5/3/2007
  Q: Let f be a function that is even and continuous on the closed interval [-3,3]. The function f and ...
  A: Questioner: h Category: Calculus Private: No Subject: calculusLet f be a function that is ...
Continuous Multipart Functions5/2/2007
  Q: f(x)=x^2-2x for all real numbers x a).on the axes provided, sketch the graph of y= f(abs(x)) b). ...
  A: Questioner: h Category: Calculus Subject: calculusf(x)=x^2-2x for all real numbers x a).on ...
Finding turning points.5/1/2007
  Q: I can't seem to figure out this problem. Find all values of x where tangent line to the graph of ...
  A: Questioner: JoAnn Category: Calculus Private: No Subject: CalculusI can't seem to figure ...
Continuous Multipart Functions4/30/2007
  Q: I am stuck on a particular problem: A function g is defined by the formula g(x) = {x^2 + x + a, x ...
  A: Questioner: Tiesh Category: Calculus Subject: Continuous FunctionsI am stuck on a ...
Volume by disks.4/29/2007
  Q: Let R be the region in Quadrant 1 bounded by the graphs of y=lnx and y=1. Find the exact volume of ...
  A: Questioner: Colleen Category: Calculus Private: No Subject: Volume by cylindrical ...
Calculating an integral4/29/2007
  Q: Im having some problem solving this integral... doesnt seems to have a simple solution. Integral of ...
  A: Questioner: white Category: Calculus Subject: Calculating an integralHello Im having some ...
Volume by cylindrical shells.4/28/2007
  Q: Let R be the region in Quadrant 1 bounded by the graphs of y=lnx and y=1. Find the exact volume of ...
  A: Questioner: Colleen Category: Calculus Subject: Volume by cylindrical shells.Let R be the ...
Mean Value Theorem4/28/2007
  Q: Let f be a differentiable function of x that satisfies f(1)=7 and f(4)=3. which of the following ...
  A: Questioner: h Category: CalculusLet f be a differentiable function of x that satisfies f(1)=7 ...
Basic differentiation - Product Rule4/26/2007
  Q: Please differenciate. y= 3x^1/2(x-1)
  A: Questioner: Anastasia Category: CalculusPlease differentiate. y = 3x^1/2(x-1) ...
Maximum-minimum problem.4/25/2007
  Q: question 1 A rectangular plot of farmland will be bounded on one side by a river and on the other ...
  A: Amy, I see you had a little trouble with my suggestion. I asked you to PICK one of them, not just ...
Integral with arctangent.4/24/2007
  Q: I have a small problem How do i integrate: ( cosx + sinx + 1 )/(1 + (sinx)^2) ??
  A: Questioner: iwinux Category: Calculus Subject: IntegralHi there I have a small problem How ...
Maxima & Minima in Plane & Solid Figures4/24/2007
  Q: A popular size of tin can with "normal" proportions has a diameter of 7.3 cm and an altitide of ...
  A: Questioner: Colleen Category: Calculus Subject: Maxima & Minima in Plane & Solid FiguresA ...
related rates4/23/2007
  Q: a balloon in the shape of a cylinder has hemispherical ends of the same radius as that of the ...
  A: Questioner: amy Category: Calculus Private: No Subject: related ratesa balloon in the ...
Mean Value Theorem4/20/2007
  Q: Ok, here is the problem Two cars A and B are both moving, at a certain point of time one overpasses ...
  A: Questioner: mila Category: Calculus Subject: Please help solve the problemOk, here is the ...
Diff Equation by separation of variables.4/19/2007
  Q: if dy/dx=2y^2 and if y=-1 when x=1, then when x=2, y=
  A: Questioner: tina Category: Calculus Subject: calculusif dy/dx=2y^2 and if y=-1 when x=1, ...
Related rates - volume of a cube4/19/2007
  Q: at the start, a cube's edge measures 6 inches and is increasing at a rate of 2in/min for 5 mins. at ...
  A: Questioner: crystal Category: Calculus Subject: related rates of cubeat the start, a cube's ...
Trig substitution and completing the square.4/18/2007
  Q: an antiderivative for 1/(x^2-2x+2) is? can you show me this problem because i can't get an answer
  A: Questioner: h Category: Calculus Subject: antiderivativean antiderivative for 1/(x^2-2x+2) ...
Velocity and acceleration.4/18/2007
  Q: A car braked with a constant deceleration of 16ft/s squared, producing skid marks measuring 200ft ...
  A: Questioner: Kimberly Category: Calculus Subject: AntiderivativesA car braked with a ...
Limits at infinity.4/14/2007
  Q: L'Hospital's rule does not help with the following limits. find them some other way a) LIM as x ...
  A: Questioner: nyawas Category: Calculus Subject: calculusL'Hospital's rule does not help with ...
Limits and rationalizing.4/14/2007
  Q: if {f(x)=(sqrt(2x+5)-sqrt(x+7))/(X-2), for x not equal to 2 and f(2)=k and if f is continuous at ...
  A: Questioner: tina Category: Calculus Subject: calculusif {f(x)=(sqrt(2x+5)-sqrt(x+7))/(X-2), ...
Mean Value Theorem4/13/2007
  Q: "this problem is a multi choice one: if f'(x) and g'(x)exist and f''(x)> g'(x) for all real x, then ...
  A: Questioner: tina Category: Calculus"this problem is a multi choice one: if f'(x) and g'(x)exist ...
Velocity and acceleration.4/13/2007
  Q: a particle moves with acceleration a= t^1/2 - ( 1/ t^1/2 ) assuming that the velocity v= 4/3 and the ...
  A: Questioner: nyawas Category: Calculus Subject: calculusa particle moves with acceleration ...
Summation formulas4/10/2007
  Q: From here on i will use 'E' to represent sigma or summation.this is a problem i did: Given that (r=1 ...
  A: John, I am going to change your notation a bit, using SUM instead of your E, and making the dummy ...
Equation of an ellipse.3/22/2007
  Q: Please can you solve the following : 1) Find the equation of the tangent to the ellipse ( ...
  A: Questioner: Alberto Category: Calculus Subject: CalculusPlease can you solve the following ...
Basic differentiation.3/20/2007
  Q: Given the functions y = 3x^3 + 6x and x = 2t^2 + t find dy/dt. and calculate dy/dx if Ln (x+y ...
  A: Questioner: Luciano.Bacco Category: Calculus Private: No Subject: CalculusGiven the ...
area of surface of revolution3/20/2007
  Q: I've been trying to work problem to try and find the area for this problem for like 3 days and I ...
  A: Jeff, Unfortunately, I didn't make progress beyond that point, BUT:I appreciate your help on this ...
area of surface of revolution3/19/2007
  Q: I've been trying to work problem to try and find the area for this problem for like 3 days and I ...
  A: Questioner: Jeff Category: Calculus Private: No Subject: area of surface of revolutionI've ...
Maximum-minimum problem.3/17/2007
  Q: This question is a optimization problems involving maxs/mins. A rain gutter is to be constructed ...
  A: Questioner: jonathan Category: Calculus Subject: engineeringThis question is a optimization ...
Inverses of functions.3/14/2007
  Q: How do i find the inverse of F(x)=2x-7? f(x)=3-2x/5x+1? f(x)=3/2x^3+1? and f(x)=3x+4?
  A: Questioner: Brandy Category: Calculus Subject: CalculusHow do i find the inverse of ...
Isomorphism3/14/2007
  Q: i need your help in one part of thr followingProve that isomorphism is an equivalence relation on ...
  A: Questioner: Paul Category: Calculus Private: No Subject: IsomorphismThanks alot for your ...
Isomorphism3/13/2007
  Q: i'm studying abstract algebra: can you please help me with the following questions 1)prove if G ...
  A: Questioner: Paul Category: Calculus Subject: IsomorphismHi, i'm studying abstract algebra: ...
A term: "Recessium Vector algorithm"3/12/2007
  Q: I'm a translator. I'm working on a document which explains a RTGS system (to settle international ...
  A: Questioner: Patricia Category: Calculus Private: No Subject: A term: "Recessium Vector ...
Related Rates3/12/2007
  Q: A man 1.5m tall is walking at a speed of 2m/s away from a lamppost which has a lamp 5m above the ...
  A: Questioner: mikey Category: Calculus Subject: small changeA man 1.5m tall is walking at a ...
Fundamental Theorem of Calculus3/11/2007
  Q: What is the Fundamental Theorem of Calculus? Can you describe it first in "everyday language" and ...
  A: Questioner: Tom Category: Calculus Subject: Fundamental Theorem of CalculusWhat is the ...
Factorial and Stirling's Approximation3/10/2007
  Q: I have a question on how to find out what 300! would equal out to and what an eaiser way would be to ...
  A: Questioner: Mike Category: Calculus Subject: mathHi, I have a question on how to find out ...
calculus 23/9/2007
  Q: I need help finding the integral of cos^2(2theta) Ive been told that I can use a trig substitution ...
  A: Questioner: Jeff Category: Calculus Subject: calculus 2Hello, I need help finding the ...
Implicit differentiation.3/9/2007
  Q: I need help on a homework problem. The directions say find dy/dx. xe^(y)+ 1= xy I don't really ...
  A: Questioner: Stephanie Category: Calculus Subject: calculusI need help on a homework ...
Derivatives of Exponential Functions3/7/2007
  Q: I'm sorry, but I have one more question if you have time. I have y=2^xlnx. How do you take the ln of ...
  A: Questioner: Colleen Category: Calculus Subject: Derivatives of Exponential FunctionsI'm ...
Length of Spring and Calculus3/7/2007
  Q: Mr. Klarreich! I really appreciate you helping me in the previous question I had. I'm in calculus 2 ...
  A: Questioner: Ali Category: Calculus Subject: Length of Spring and CalculusHi again, Mr. ...
Derivatives of Exponential Functions3/6/2007
  Q: My problem is g(x)= 4(7^x) I know that we put "ln" on both sides so we have ln g(x)= ln 4(7^x). ...
  A: Questioner: Colleen Category: Calculus Subject: Derivatives of Exponential FunctionsMy ...
Exponential growth and decay3/6/2007
  Q: Hey again Mr. Klarreich, I'm having some trouble (again :() trying to figure out how this problem ...
  A: Questioner: Aliza Category: Calculus Private: No Subject: Exponential growth and decayHey ...
Max-min problems?3/5/2007
  Q: I am having a problem solving this, and I hope you can help me. I am a precalculus student, but this ...
  A: Alana, One of the reasons I don't answer questions marked 'Private' is so that other 'students' can ...
Proving exponent rules for groups3/4/2007
  Q: Let G be a group, let a,b in G, and let n and m be (not necessarliy positive) integers. prove (i)if ...
  A: Questioner: Karlo Category: Calculus Subject: Proofs(exponents) related to groupsHi, Let G ...
Calculus texts.3/3/2007
  Q: v.terasov or about that book or any other good book for calculus
  A: Vignesh, I found this reference on the Internet: 'Problems in Calculus of One Variable' by I.E. ...
differentation of logaritms functions3/2/2007
  Q: 1.y= log (square root of) 2x+5 2.y= ln (x+3)^4 3.Y= ln (sec x+ tanx) 4.y= ln x-5/x-4
  A: Questioner: alijon Category: Calculus Private: No Subject: differentation of logaritms ...
Tangents fo a curve3/2/2007
  Q: what is the equation of both lines that pass through the point (2,-3) and are tangent to the ...
  A: Questioner: Joel Category: Calculus Subject: equations of tangentswhat is the equation of ...
An old chestnut of number theory.3/1/2007
  Q: I took an AP Calculus course last year, and after the AP we did a lot of theoretical insane ...
  A: Questioner: Patrick Category: Calculus Subject: MATHH *pulls hair out*Hi, I took an AP ...
Derivative of Trigonometric Functions2/28/2007
  Q: Find 1st and 2nd Derivative, 1.) y = sin(cosx) 2.) y = tan(xsinx) I need it now.. Thank you very ...
  A: Questioner: Julie Category: Calculus Subject: Derivative of Trigonometric FunctionsFind 1st ...
Calculus and area under curve2/28/2007
  Q: Klarreich! Im in Calculus 2 and I'm trying to solve a bunch of these word problems in my calculus ...
  A: Questioner: Alison Category: Calculus Subject: Calculus and area under curveHi Mr. ...
Period of a trigonometric function.2/27/2007
  Q: The fundamental period of 2cos(3x) is 2pie/3 but why?
  A: Questioner: Mayra Category: Calculus Subject: Fundamental PeriodThe fundamental period of ...
derivatives of trigonometric functions2/27/2007
  Q: I have the basic 3 derivatives in my book but this one problem has a different answer in the back of ...
  A: Questioner: Christine Category: Calculus Subject: derivatives of trigonometric functionsI ...
Basic differentiation.2/26/2007
  Q: 1.) x = 1/2 t-to the fourth power - 5t - 3 2.) y = 1 all over square root of x-2
  A: Questioner: Julie Category: Calculus Subject: First and Second Derivative Function1.) x = ...
Chain Rule2/25/2007
  Q: i need help in my calculus homework...this is one of the problems: *if $1000 is invested at ...
  A: Questioner: meg Category: Calculus Subject: related rates << Not really.I need help in my ...
limits2/24/2007
  Q: lim [x] x tends to root 2 sir, i had tried in the following way LHL lim[x] x tend to sqrt 2- lim ...
  A: Questioner: manisha_mhptr Category: Calculus Subject: limitslim [x] x tends to root 2 sir, ...
limits2/24/2007
  Q: lim (1+2x/3)^3/2x x tends to 0
  A: Questioner: manisha_mhptr Category: Calculus Subject: limitslim (1+2x/3)^3/2x x tends to 0 ...
derivatives of logarithmic and exponential functions2/22/2007
  Q: I having so much trouble out of some of these problems can you help me please? y=[ln(e to the ...
  A: Questioner: Larr Category: Calculus Subject: derivatives of logarithmic and exponential ...
Increasing and decreasing intervals.2/22/2007
  Q: Hey Paul! I believe you answered my snowball question. Thank you very much. I have just one more ...
  A: Questioner: andy Category: Calculus Subject: decreasing INTERVALHey Paul! I believe you ...
Mass of a non-uniform sphere.2/21/2007
  Q: My teacher and I approached this problem two different ways that we both feel SHOULD work, but which ...
  A: Questioner: andy lane Category: Calculus Private: No Subject: snowball applicationMy ...
Solving equations with fractions.2/20/2007
  Q: I have a questions about solving an equation. If you have an equation that you need to factor and ...
  A: Questioner: dayna Category: CalculusI have a questions about solving an equation. If you have an ...
Calculus: Integration2/20/2007
  Q: I had to do 100 problems for a test on integration and could not figure out 10 of them..... I ...
  A: Questioner: Richard Hearon Category: Calculus Subject: Calculus: IntegrationI had to do 100 ...
Related Rates2/19/2007
  Q: i am attempting. A container initially empty is being filled with liquid;t seconds after filling has ...
  A: Questioner: A Category: Calculushi this is a qu. i am attempting. A container initially empty is ...
Simpson's Rule2/18/2007
  Q: Integration by Simpson's Rule : People who sail ships at sea used dead reckoning to calculate ...
  A: Questioner: Colleen Category: CalculusIntegration by Simpson's Rule : People who sail ships at ...
Maximum-minimum problem.2/16/2007
  Q: p(x) is a POLYNOMIAL of degree less than 3. |p(x)|<=1 for all x in [-1,1]. show that: |p'(x)|<=4 ...
  A: Questioner: Siddharth Category: Calculusp(x) is a POLYNOMIAL of degree less than 3. |p(x)|<=1 ...
Order axiom proof2/11/2007
  Q: Mr. Klarreich I was wondering if you can help me with this proof? If 0< a< b, then 0< b^-1 < a^-1. ...
  A: Questioner: Eva L. Category: Calculus Subject: Order axiom proofHello, Mr. Klarreich I was ...
Improper Integrals2/11/2007
  Q: I'm studying Calculus and I was trying to solve this integration problem and don't know how to ...
  A: Questioner: Krisaldine Category: Calculus Subject: Integration (Converging)Hi, I'm ...
Composite Functions - decomposing2/9/2007
  Q: Always we have given the COMPOSITE FUNCTIONS in that format i-e f= something g= something and then ...
  A: Questioner: Abdul Waqas Category: Calculus << PRECALCULUS Subject: Composite FunctionsAlways ...
Integration by parts2/8/2007
  Q: Question is Make a substitution and then integrate by parts.(it is seeing what the substitution ...
  A: Questioner: Aaron Wolf Category: Calculus Subject: Integration by partsQuestion is Make a ...
Number and digit puzzle2/8/2007
  Q: If J, K, N are consecutive integers such that O<J<K<N and the units (ones) digit of the product JN ...
  A: Questioner: Beth Category: Calculus Subject: pre calcIf J, K, N are consecutive integers ...
Integral Calculus on Work2/6/2007
  Q: klarreich, i've been stuck on this problem for quite some time, nearly 3 days now and i have not ...
  A: Questioner: Aliza Category: Calculus Subject: Integral Calculus on Workhi there mr. ...
Calculus - Rolle's Theorem2/5/2007
  Q: My problem is f(x)= xcosx {0,pi/2} I'm trying to find what c is equal to. If I take the ...
  A: Questioner: Colleen Category: Calculus Subject: Calculus - Rolle's TheoremMy problem is ...
limits - the delta-epsilon proofs.(corrected)2/5/2007
  Q: the definition of limit is a function f is said to tend to a limit,l,as x tends to c,if to any ...
  A: Questioner: jino Category: Calculus Subject: limitsthe definition of limit is a function f ...
Radius question - related rates?2/4/2007
  Q: So here's the problem, I have been given this problem, and have no idea how to apply this formula. ...
  A: Questioner: Ryan Category: Calculus Private: no Subject: Radius questionSo here's the ...
Volumes of 3-D Shapes1/30/2007
  Q: Klarreich, My name is Faizan and I am having a little bit of difficulty with this specific ...
  A: Questioner: Faizan Category: Calculus Subject: Areas of 3-D ShapesHi Mr. Klarreich, My ...
Inverse Trigonometric Functions1/29/2007
  Q: I know this is supposed to be easy, but it is hard to understand our professor sometimes with his ...
  A: Questioner: Aaron Category: Calculus Subject: Inverse Trigonometric FunctionsI know this is ...
Simplifying a derivative.1/29/2007
  Q: can you tell me how to solve the rest of this problem?: find y' y=x(3x-4)^1/2 so far i've ...
  A: Questioner: Mara Category: Calculus Subject: calculus related ratecan you tell me how to ...
(PreCalculus) graphing1/26/2007
  Q: The problem I have is this. I have access to answers, but the answers don't make sense to me. I'll ...
  A: Questioner: Katie Category: Calculus Private: no Subject: (PreCalculus) graphingHi! The ...
Calculus-Volumes of revolution.1/26/2007
  Q: I'm not sure if this type of problem is the type you wanted to answer, but I've tried many ways to ...
  A: Questioner: Joyce Category: Calculus Subject: Math Analysis/CalculusHi, I'm not sure if ...
Newton's law of cooling - growth and decay.1/25/2007
  Q: I asked this before (not to you) and I was not 100% with understanding the answer (understanding how ...
  A: Questioner: Aaron Category: Calculus Subject: Newton's law of cooling...I asked this before ...
Definite integrals - change of variable.1/24/2007
  Q: Klarreich, I was looking over the problem and I didn't notice the other bits of information the ...
  A: Questioner: Joeseph Malikay Category: Calculus Subject: Sorry, I did mistype the ...
The definite integral1/24/2007
  Q: Hey Mr. Klarreich, just recently we started integration in my calculus class, my has gone on leave ...
  A: Questioner: Joseph Malikay Category: Calculus Subject: Some integration problemsHey Mr. ...
Area under a curve-trapezoidal rule.1/23/2007
  Q: I have found a line tangent to the curve y = 1/x. (my line equation is y-(squareroot of two, divided ...
  A: Questioner: Aaron Category: CalculusI have found a line tangent to the curve y = 1/x. (my line ...
Derivatives of Polynomials1/22/2007
  Q: I'm studying Grade 12 Calculus. Could you briefly give me an overview on derivatives? I am just ...
  A: Questioner: Samantha Hi Paul, I'm studying Grade 12 Calculus. Could you briefly give me an ...
The difference quotient.1/22/2007
  Q: i need some help with this problem the question is: evaluate the difference quotient for the given ...
  A: Questioner: israel Category: Calculus Subject: Calculus Ii need some help with this problem ...
vector fields/exact differential equations1/21/2007
  Q: I hope this question is in-category and not too simple, but anyway, here it goes: Given a vector ...
  A: Martin, Sorry for the delay, but I really wasn't sure what you were asking. (I'm still not sure, but ...
Optimization1/21/2007
  Q: A box with a closed top is to be made from a 6-ft by 10-ft piece of cardboard by cutting out four ...
  A: Questioner: Amanda Category: Calculus Subject: OptimizationA box with a closed top is to be ...
Arg(z) and complex conjugate.1/19/2007
  Q: The may be trivial: This is for z = x + iy a complex number I am to find all z such that the ...
  A: Questioner: Andrew Pearson Category: Calculus Subject: Arg(z)Hello! The may be trivial: >> ...
Quadratic graphs.1/17/2007
  Q: given that the equation x^2-(2k-1)x=-k^2 does not touch the x-axis,(i) find the range of values ok ...
  A: Questioner: preety Category: Calculus Subject: add mathsgiven that the equation ...
Exponential functions are not powers of x.1/17/2007
  Q: right out of our beautiful grade 12 calculus course.. my question is - for functions like x^2, etc. ...
  A: Questioner: Andrea Category: Calculus Subject: exponential functionsright out of our ...
Applications of Integration1/3/2007
  Q: what occupations uses integral calculus, besides a math teacher?
  A: John, Take a look inside your calculus book; you will find a chapter entitled 'Applications of the ...
Applications of Integration.1/2/2007
  Q: how does integral calculus apply outside of math?
  A: John, Take a look inside your calculus book; you will find a chapter entitled 'Applications of the ...
even and odd function extensions1/1/2007
  Q: What is meant by the even extention of a function and by the odd extention of a function?Could not ...
  A: Questioner: Siddharth Category: Calculus Subject: even and odd extensionWhat is meant by the ...
Differentiation of absolute values12/29/2006
  Q: I did all of that and I did it all right! Just one more thing, the piecewise funtion part, is this ...
  A: Questioner: Angie Category: Calculus Subject: differentiation of absolute valuesThanks, I ...
differentiation of absolute vaules12/29/2006
  Q: I understand this problem perfectly, but I have another one like it and I want to make sure I'm on ...
  A: Angie, Someone who calls himself 'x' (one of your classmates, perhaps?) has already sent me this ...
Derivatives of Absolute Value12/28/2006
  Q: f(x)=abs(x)+ xsin(x) Xmin=-2Pie Xmax=2Pie Ymin=-5 Ymax-10 1. Prove that f(x) is an even ...
  A: Questioner: x Category: Calculus Private: no Subject: applications of derivativesf(x)= ...
differentiation of absolute vaules12/26/2006
  Q: If f(x)= |x-3| + x^2, which of the following is true about f(x)? a. the function is not continuous ...
  A: Questioner: Angie Category: Calculus Subject: differentiation of absolute vaulesIf f(x)= ...
cubic yards of an irregular figure12/23/2006
  Q: A front end loader is a piece of heavy equipment that is often used on construction sites to load ...
  A: Questioner: Chad Category: Calculus Subject: cubic yards of an irregular figureThanks for ...
cubic yards of an irregular figure12/22/2006
  Q: Ok here is something I have tried to figure out and cannot. I have a front end loader with a said ...
  A: Questioner: Chad Category: Calculus Subject: cubic yards of a triangleOk here is something I ...
Product Rule to Diff a Function12/22/2006
  Q: Using the product rule to differentiate: f(x)=(cosx)ln^(xsqrt3)
  A: Questioner: Duncan Category: Calculus Subject: Product Rule to Diff an EquationUsing the ...
compound interest12/20/2006
  Q: I think this fits your expertise, but please excuse me if I'm in the wrong forum. I'm not a student ...
  A: Questioner: Augusto Category: Calculus Subject: compound interestI think this fits your ...
Angular Speed12/18/2006
  Q: I need to know the formula for angular speed i know that the linear speed is 15cm/second and the ...
  A: Questioner: Kendra Category: Calculus Subject: Angular SpeedI need to know the formula for ...
Volume of rotation using integrals12/17/2006
  Q: I'm in a class of Math Analysis/ Calculus Honors and I've already tried this problem the ...
  A: Questioner: Joyce Category: Calculus Subject: volume using integralsI'm in a class of Math ...
Recurrence relations12/16/2006
  Q: A sequence of integers is defined as follows asub1=1 asub2=1 and asubn=.25asub(n-2)+.333asub(n-1) ...
  A: Questioner: Xia Category: Calculus Subject: sequenceA sequence of integers is defined as ...
Continuity - the Intermediate Value Theorem12/15/2006
  Q: How do I use the Intermediate Value Theorum to show that a function has at least one solution. For ...
  A: Questioner: Felicia Category: CalculusHow do I use the Intermediate Value Theorem to show that a ...
Related rates in geometry.12/15/2006
  Q: A square is inscribed in a circle. As the square expands, the circle expands to maintain the four ...
  A: Questioner: Stephanie Category: Calculus Subject: Related ratesA square is inscribed in a ...
Related Rates - conical tank.12/14/2006
  Q: A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing ...
  A: Questioner: ridralev2 Category: Calculus Subject: Related RatesA conical tank (with vertex ...
percentages12/13/2006
  Q: how do i calculate 160 as a percentage of 228?
  A: Questioner: daniel Category: Calculus Subject: percentageshow do i calculate 160 as a ...
calculus help12/13/2006
  Q: can you help with these 5 questions these are final questions thank you. ...
  A: Questioner: Paul Category: Calculus Subject: calculus helpcan you help with these 5 ...
Derivatives and the Mean Value Theorem12/12/2006
  Q: I have a problem.It;s hard for me to find the right proof for the following problem.We have the ...
  A: Questioner: Ann Category: Calculus Subject: Derivatives.HELP NEEDED!!!Hello, I have a ...
Applications of Integration12/12/2006
  Q: maybe you help with just these 3 questions? ...
  A: Questioner: paul Category: Calculusmaybe you help with just these 3 questions? ...
Related Rates12/11/2006
  Q: can u help me out with this question The volume of the cylindrical trunk of a tree is proportional ...
  A: Questioner: jino Category: Calculus Subject: Related Ratescan u help me out with this ...
Very badly behaved functions.12/9/2006
  Q: 1. is a continous func always monotonic in some sub domain? 2. is there a function which is ...
  A: Questioner: suraj Subject: functions1. is a continous func always monotonic in some sub ...
Basic differentiation exercises.12/8/2006
  Q: 1). Calculate dy/dx if y=4x³+3x²+2 A.12x² + 6x B.12x²+6x+2 C.12x³+6x² D.12x³+6x²+2 2).What is the ...
  A: Questioner: Sonny Category: Calculus1). Calculate dy/dx if y=4x³+3x²+2 A.12x² + 6x B.12x²+6x+2 ...
Related Rates in a triangle12/7/2006
  Q: I am taking a class that's a mixture of precalc and calc right now. I've tried this problem already ...
  A: Joyce, Is this your first attempt at R-R problems? If so, the scheme is something like this: 1. ...
Physics-related Calculus12/7/2006
  Q: I'm a first year college student and I was wondering if you could help me with this problem, it's ...
  A: Questioner: Faizan Category: Calculus Subject: Physics-related CalculusHello, I'm a first ...
limits (sorta)12/6/2006
  Q: This one I am totally lost on. Given the sequence {(1/n) n root(n!). Show that the limit as n --> ...
  A: Questioner: Gary Category: Calculus Subject: limits (sorta)This one I am totally lost on. ...
Improper Integral12/6/2006
  Q: This ones got me stumped. Thanks. Integrate from inf to -inf e^x ...
  A: Questioner: Gary Category: Calculus Subject: IntegrationThis ones got me stumped. Thanks. ...
Classic optimization problems12/5/2006
  Q: I don't know if you do optimization problems, but I've got a couple that I canNOT figure out:( ...
  A: Questioner: Lily Category: Calculus Subject: Classic optimization problemsI don't know if ...
Separable Differential Equations12/5/2006
  Q: How do you solve the equation du/dx=1-u(1+ln(x))?
  A: Questioner: Ken Subject: Separable differential equations. How do you solve the equation ...
Related Rates12/4/2006
  Q: Jarred The demand for a shirt is 2px-65p-4950=0, where x hundreds of shirts are demanded per week ...
  A: Questioner: Jarred Category: Calculus Subject: Related Rates The demand for a shirt is ...
Optimization Problems12/4/2006
  Q: I've got a couple optimization problems that I am having trouble with. 1) A sports complex is to ...
  A: Questioner: Giselle Category: Calculus Subject: Optimization ProblemsI've got a couple ...
Infinite series-Integral Test12/3/2006
  Q: I was given a a series from 3 to infinity of 2/(n(ln(n))*sqrt(ln(ln(n)))) and i am clueless where to ...
  A: Questioner: Mike Category: Calculus Subject: Infinite seriesHi Paul, I was given a series ...
limits by delta-epsilon12/3/2006
  Q: Prove that lim as x->a (sqrt x)= sqrt a I just cant figure out the right epsilon delta combination. ...
  A: Questioner: sammy Category: CalculusProve that lim as x->a (sqrt x)= sqrt a I just cant figure ...
Integration12/1/2006
  Q: Paul I am working on my final review and need your help on some questions. Thank you in advance. ...
  A: Questioner: Gary Category: Calculus Subject: IntegrationPaul I am working on my final review ...
related rates calculus12/1/2006
  Q: The population of New Hedonia is 230000, and rising at the rate of 5000 people per year. The total ...
  A: Al, ....................................... Subject: related ratesThe population of New Hedonia is ...
Related Rates11/10/2006
  Q: This is the other one I am struggling with. The hypotenuse of a right triangle is growing at the ...
  A: Questioner: Gary Category: Calculus Subject: CalculusThis is the other one I am struggling ...
Definite integrals with variable limits.11/10/2006
  Q: Paul I got just a few left on my study guide and I know you will probably find these easy but I ...
  A: Questioner: Gary Category: CalculusPaul I got just a few left on my study guide and I know you ...
Area between two curves.11/9/2006
  Q: As I go through my study guide I am finding some questions that perplex me hopefully you can help me ...
  A: Questioner: Gary Category: Calculus Subject: Graph curvesAs I go through my study guide I am ...
General Math Advice11/9/2006
  Q: I am a junior in high school and I was wondering even though this is kind of off topic how do I get ...
  A: Questioner: Anonymous Category: Calculus Private: no Subject: Math adviceHi, I am a junior ...
Cal I skectching a graph, first der. test and second derivative test, and asymptotes11/8/2006
  Q: Explain why the function f(x) = {1 if x is less than or equal to 0 and (1/x) if x is greater than 0, ...
  A: Questioner: Tom Category: Calculus Subject: Sketching a graph with asymptotes.Hi paul my ...
Area of triangles11/7/2006
  Q: I am having some trouble with the followingFind the area of each triangle. Use a different area ...
  A: Questioner: Ajay Category: Calculus Subject: Area of trianglesHello I am having some trouble ...
Tangent Line to a graph11/6/2006
  Q: How do you find the equation of the tangent line to the graph of f at th given point. f(s) = ...
  A: Questioner: SimoneRenee Category: Calculus Subject: Tangent LinesHow do you find the ...
Proof of limit properties.11/6/2006
  Q: I want the proof of Power rule in limit laws which states that the limit of the rational power of a ...
  A: Questioner: Minirani Category: CalculusI want the proof of Power rule in limit laws which states ...
Related Rates.11/5/2006
  Q: I have attempted this question, but I got stuck because I'm not sure what the formula for the Volume ...
  A: Questioner: Gallic Category: Calculus Subject: Related Rates.I have attempted this question, ...
second derivative10/30/2006
  Q: We are learning about concavity, and in general i am having difficulty findng second derivatives ... ...
  A: Questioner: alison Category: Calculus Private: no Subject: second derivativehello We are ...
radioactive decay problem10/29/2006
  Q: At the beginning of an experiment, a scientist has 264 grams of radioactive goo. After 240 minutes, ...
  A: Questioner: Gur Category: Calculus Subject: radioactive decay problemAt the beginning of an ...
Exponential, Log and Inverse Trig Functions10/28/2006
  Q: I got a question for a couple of problems I am working. I want to make sure I am doing this right. ...
  A: Questioner: Gary Category: Calculus Subject: Exponential, Log and Inverse Trig FunctionsI ...
Derivative10/24/2006
  Q: my name is David and I'm taking cal.1 right now. The question is : What function f(x) has a fourth ...
  A: Questioner: David S. Category: Calculus Subject: DerivativeHello again, my name is David ...
separable equations10/24/2006
  Q: please tell me what im doing wrong. general solution of separable equation: dx/dy = ...
  A: Questioner: Daniel Category: Calculus Subject: separable equationsplease tell me what im ...
Calculus problem10/23/2006
  Q: A rectangular box is to have a square base and a volume of 24 cubic feet. Te material for the top ...
  A: Questioner: RAsheedah Brown Category: Calculus Subject: Calculus problemA rectangular box is ...
Related Rates10/23/2006
  Q: how would i differentiate (1/sinY)(ysin(theta))?!?! i know it involves the chain rule, but i'm ...
  A: Questioner: Rachel Category: Calculus Subject: Related Rateshow would i differentiate ...
Related Rates10/21/2006
  Q: !! I feel like I'm beginning to really grasp the concept. I do have a couple questions about number ...
  A: Questioner: Rachel Category: Calculus Subject: Related RatesThank you so much for your help! ...
Related Rates10/21/2006
  Q: Studying related rates 1)As a circular steel griddle is being heated, it's diameter changes at a ...
  A: Questioner: Rachel Category: Calculus Subject: Related RatesStudying related rates 1)As a ...
even function10/20/2006
  Q: How do I find a even function? For example: f(x)=4x-2 f(x)=3-x^2 and f(x)=x/x+1
  A: Questioner: Francis Category: Calculus Subject: even functionHow do I find a even function? ...
RE: Integration: Special case...10/19/2006
  Q: Sorry, I don't know what happened but I hope you could read it this time, and thanks a lot for your ...
  A: Questioner: Priere Category: Calculus Private: no Subject: RE: Integration: Special ...
Limits10/18/2006
  Q: Amy said that the function f(x) had the limit of 4 as x went to (positive) infinity. Bao said that ...
  A: Lily Asks in Category Calculus ... Subject: LimitsAmy said that the function f(x) had the limit ...
second derivatives10/16/2006
  Q: I'm having difficulty find the f''(x) of f(x) = (x^2)/[(x^2)+3] I know the f'(x) = 6x[(x^2-1)]^2 ...
  A: john rhem Asks in Category Calculus ... Subject: second derivativesI'm having difficulty ...
Differentiating Trigonometric Equations10/15/2006
  Q: Could you advise me how to get started with the following question. y= INV Sin (x/5) Should i ...
  A: Annie Asks in Category Calculus ... Subject: Differentiating Trigonometric EquationsHi, Could ...
Calculus Help10/15/2006
  Q: My name is Meghan and I am in Grade 12 University level (AP) Calculus and I really need some help. I ...
  A: Meghan Asks in Category Calculus ... Subject: Calculus Help Private: noHi! My name is Meghan ...
domain and range in calculus also the derivatives10/11/2006
  Q: domain and range in calculus what are the techniques there ang in derivatives
  A: Mark, I am afraid I won't be able to answer this question in less than about a year. The ...
Finding derivative10/10/2006
  Q: My name is David and Im taking Calculus I right now. A) Find d/dx of sqaure root of (169/x)- x. I ...
  A: David S. Asks in Category Calculus ... Subject: Finding derivative Private: noMy name is ...
1st order differential equations10/9/2006
  Q: I am studying Calculus in a 1st degree computer course. I am trying to understand a worked example ...
  A: winston morris Asks in Category Calculus ... Subject: 1st order differential equations ...
quadratic function10/8/2006
  Q: My name is Pamela and I am studying Per-Cal. I really don't even know how to start is question, so ...
  A: pamela Asks in Category Calculus ... Subject: quadratic function Private: noMy name is Pamela ...
Finance related10/6/2006
  Q: My name is Byron and I am studying Finance right now. I am confused as to what formulas to use in ...
  A: Byron Asks in Category Calculus ... Subject: Finance related Private: noMy name is Byron and ...
Distinct Roots10/5/2006
  Q: .. you have helped me immensely!! My name is Mary and I am studying Calculus 1. I am very rusty ...
  A: Mary Asks in Category Calculus ... Subject: Distinct RootsHi Paul, thank you for all of your ...
Point of Inflection10/4/2006
  Q: The first derivative equals 0 at points p and q . The second derivative equals 0 at points p and r. ...
  A: Roger Calc I Asks in Category Calculus ... Subject: Point of InflectionThe first derivative ...
Continuous or not10/4/2006
  Q: My name is Mary and I am studying Calculus 1. The problem that I'm having is understanding how you ...
  A: Mary Asks in Category Calculus ... Subject: Continuous or notHello Paul My name is Mary and I ...
Points on a Curve10/3/2006
  Q: My name is MB and I am studying Calculus 1. It's been awhile since I've worked with calculus, so ...
  A: MB Asks in Category Calculus ... Subject: Points on a CurveHi Paul, My name is MB and I am ...
an annoying related rate10/2/2006
  Q: THis helped so much, but i just have one more question. At the end ofthe problem you said deivide ...
  A: kelsey Brannan Asks in Category Calculus ... Subject: an annoying related rate Private: ...
Difference quotient10/2/2006
  Q: Find an algebraic expression for the difference quotient (f(1+deltX)- f(1))/ deltX when f(x)= ...
  A: David Asks in Category Calculus ... Subject: Difference quotientFind an algebraic expression ...
an annoying related rate10/2/2006
  Q: I have been working on this related rate problem forever,a nd I don't seem to be getting anywhere. ...
  A: kelsey Brannan Asks in Category Calculus ... Subject: an annoying related rate Private: noI ...
The Graph of a Rational Function10/1/2006
  Q: I am studying College Algebra, and this question has got me stumped. the question is this: Describe ...
  A: Oliver Asks in Category Calculus ... Subject: The Graph of a Rational Function Private: noI ...
Trigonometry7/20/2006
  Q: Sin theta10/2=5/12 Theta10=2*Sin-1(5/12) Don't know what the next steps are to solve. Answer - ...
  A: Debora, >> Yes, that's the answer I get, too, actually the calculator says: ...
Trigonometry7/19/2006
  Q: Sin theta10/2=5/12 Theta10=2*Sin-1(5/12) Don't know what the next steps are to solve.
  A: Debora,Sin theta10/2=5/12 Theta10=2*Sin-1(5/12) Don't know what the next steps are to solve. ...
Work7/19/2006
  Q: Consider 15 ft chain hanging from ceiling weighing 3lb./ft. a.How much work is needed to take the ...
  A: Roger Asks in Category Calculus ...Consider 15 ft chain hanging from ceiling weighing 3 lb./ft. ...
Infinite Series for e^x/x7/18/2006
  Q: I'm in Calc 2, and I have a problem that asks me to "evaluate (Integral sign)e^x/x as an infinite ...
  A: Ashley,I'm in Calc 2, and I have a problem that asks me to "evaluate (Integral sign)e^x/x as an ...
Summing a non-geometric series6/27/2006
  Q: I'm working on problem here at work that I have boiled down to the following series... F(1) = ...
  A: Uriah, I'm sorry -- this does not look familiar; the general expression has the form: k=n ...
Cost functions...6/26/2006
  Q: I am lost when it comes to this problem in my homework - please help! Let C(q)=q^3-18q^2+750q be ...
  A: Todd, Subject: Cost functions...I am lost when it comes to this problem in my homework - please ...
Continuously Compounded Interest6/25/2006
  Q: My name is Chris and I am studying Business Calculus. The problem is as follows: Your family owns ...
  A: Chris, Subject: Continuously Compounded InterestMy name is Chris and I am studying Business ...
Calculus: convergent or divergent integrals6/25/2006
  Q: My name if Flori and I am trying to solve an improper integral, such as int(ln(x)/x^3, x = 1 .. ...
  A: Flori, Subject: Calculus: convergent or divergent integralsHi, My name if Flori and I am trying ...
Spherical caps, maximum view6/23/2006
  Q: Paul Yes, your rewording of the problem is correct. I use the term "spherical cap" because the ...
  A: Kenneth, On the spherical caps problem. (Really the difficulty lies in the fact that you British ...
Spherical caps, maximum view6/22/2006
  Q: Ken Rowe-Mathematical "Hobbiest" I believe this to be an old problem from one of the Cambridge ...
  A: Kenneth, We're getting closer, but one thing still worries me -- the term 'spherical caps' is not a ...
Spherical caps, maximum view6/22/2006
  Q: Ken Rowe-Mathematical "Hobbiest" I believe this to be an old problem from one of the Cambridge ...
  A: Kenneth, Subject: Spherical caps, maximum viewKen Rowe-Mathematical "Hobbiest" I believe this to ...
Calculus - function analyzation...6/22/2006
  Q: I am really confused about how to do the following problem: PLEASE HELP! Analyze the function f(x) ...
  A: Todd, Subject: Calculus - function analyzation...I am really confused about how to do the ...
Related Rates Revenue6/21/2006
  Q: Recall that revenue is defined R=pq. Suppose you work for a company that has revenue this month of ...
  A: Todd, Subject: Related Rates RevenueRecall that revenue is defined R=pq. Suppose you work for a ...
Reduction Formula6/19/2006
  Q: Hey Paul, I've basically tried almost every technique I know to find this reduction formula, and I ...
  A: Ali, You wrote: Subject: Reduction FormulaHey Paul, I've basically tried almost every technique I ...
Calculus Revenue Problem6/16/2006
  Q: I'm having a very difficult time figuring out a certain calculus word problem involving revenue. ...
  A: Shawn, You wrote: Subject: Calculus Revenue ProblemHello Paul. I'm having a very difficult time ...
Fonding Slope of Tangents6/14/2006
  Q: I am unsure how to find the tangent of y=1+x+x^2, when a. x=a, b. x-coordinate of -1, c. ...
  A: C J, You wrote: Subject: Fonding Slope of TangentsI am unsure how to find the tangent of ...
Related Rates6/12/2006
  Q: Suppose that water is being poured into a cubical tank at the rate of 100 cubic feet per minute. If ...
  A: John, Subject: Related RatesSuppose that water is being poured into a cubical tank at the rate of ...
calculus6/12/2006
  Q: I am attempting to find the Taylor polynomial of order four for the function of ln(1 + x^2) at x = ...
  A: Bob Reed Asks in Category Calculus: Subject: calculusI am attempting to find the Taylor polynomial ...
Related Rates6/12/2006
  Q: A plane flying north at 640 miles/hour passes over a certain town at noon, and a second plane going ...
  A: John, You wrote: Subject: Related RatesA plane flying north at 640 miles/hour passes over a ...
3D differentiation6/8/2006
  Q: Not studying at the moment but need this in a compression program I am trying out just for the hell ...
  A: Tony, Subject: 3D differentiationHi Tony here Not studying at the moment but need this in a ...
Integration6/8/2006
  Q: I need help two integration problems. the first is (x^3/(x²-4)^.5)dx I know that x=2sec@ and ...
  A: Ardian, You wrote: (and I wish I knew how) Subject: IntegrationHi, I need help two integration ...
differential calculus6/5/2006
  Q: please help! find the dimensions of a rectangular region with the maximum area that can be enclosed ...
  A: Hannah, You wrote: Subject: differential calculushi, please help! find the dimensions of a ...
likelihood function5/11/2006
  Q: and I am sure its incredibly obvious, but maybe you can show me the light at the end of the tunnel! ...
  A: Bill, (or is it Will?) You wrote: Subject: likelihood functionHi I have been pondering this a ...
factoring5/9/2006
  Q: I have a very simple question. How do you factor something like: 9c^2 - 24cd + 16d^2 ? Also, ...
  A: brittyyyyyyyy, [did your parents really give you that name, or did your keyboard get stuck?] ...
Proof of continuity given differntiability at a point.5/8/2006
  Q: I'm trying to prove that a function f is continuous at a point a given that it is diffentiable at a: ...
  A: James, You wrote: Subject: Proof of continuity given differntiability at a point. I'm trying ...
natural logs5/7/2006
  Q: Q: Can you take the natural log of a natural log? 1. Kelly 2. Calculus Problem: f(x) = ln[ln(x)] ...
  A: Kelly, You wrote: Subject: natural logsQ: Can you take the natural log of a natural log? >> ...
Calculus5/3/2006
  Q: A rectangle ABCD has sides parallel to the coordinate axes and point A is located at the origin. A ...
  A: Emmett, Subject: CalculusA rectangle ABCD has sides parallel to the coordinate axes and point A is ...
Calculus5/3/2006
  Q: Given the equation x^5 (thats x to the fifth power) + 4x -3 = 0 Use the Intermediate Value ...
  A: Emmett, Subject: CalculusGiven the equation x^5 + 4x -3 = 0 Use the Intermediate Value Theorum ...
Calculus5/2/2006
  Q: My name is Keegan and I am studying Calculus in the field of Mechanical Enginneering The Problem is ...
  A: Keegan, You wrote: Subject: CalculusMy name is Keegan and I am studying Calculus in the field of ...
Related Rates5/1/2006
  Q: The ends of a water trouph are equilateral triangles whos sides are 2m long. The length of the ...
  A: 08, You wrote: Subject: Related RatesThe ends of a water trouph are equilateral triangles whose ...
optimization problem5/1/2006
  Q: Find two numbers whose difference is 100 and whose sum is a minimum.
  A: Nicole, You wrote: Find two numbers whose difference is 100 and whose sum is a minimum. ...
Application of Differentation4/30/2006
  Q: my name is Julia and I have a question to your answer to the following publishedExpert: Paul ...
  A: Julia, You are indeed correct. I must have been in too much of a hurry at the time, and totally ...
Calculus4/24/2006
  Q: find the dimension of the rigth circular cylinder of 3000 cm^3 volume with minimum cost
  A: Diana, You wrote: Subject: Calculusfind the dimension of the rigth circular cylinder of 3000 cm^3 ...
max distance4/23/2006
  Q: A particle moves along the x-axis so that its velocity at time t is given by v(t)=-(t+1)sin(t^2/2) ...
  A: Jeff, I found the reference. Of course, they made me register and log in, but I was able to fake ...
Calculus4/22/2006
  Q: Basically the problem goes, "A particle is moving along the plane curve X2 (x squared) + y2 (y ...
  A: Emmett, Subject: CalculusHi my name is Emmett and I am trying to figure out this cal problem. ...
integral4/21/2006
  Q: The regions A, B, and C are bounded by the graph of function f and the x-axis. If the area of each ...
  A: Jeff, Sorry, I can't make out what it looks like. Why don't you scan it in and send the picture to ...
tangent line4/21/2006
  Q: This following problem is probably the most difficult problem I have ever faced in Calculus as I ...
  A: Jeff, Subject: tangent lineHello Paul, This following problem is probably the most difficult ...
Pre-Calculus4/20/2006
  Q: My name is Colleen. I am studying Pre-calculus. I am baffled by this problem. I have been trying ...
  A: Colleen, You wrote: Subject: Pre-CalculusMy name is Colleen. I am studying Pre-calculus. I am ...
Integrals4/20/2006
  Q: My name is Lisa and I am studying integration. We were given a problem that had a graph and it ...
  A: Lisa, I think I need more information, such as a picture, or the integrals, or something else. BUT ...
Integration4/19/2006
  Q: Well I want to know what do you mean by Integrating a function over a circle.I would also like to ...
  A: Palash, You wrote: Subject: IntegrationWell I want to know what do you mean by Integrating a ...
rate of change4/11/2006
  Q: A point (x,y) is moving along a curve y=f(x). At the instant when the slope of the curve is -1/3, ...
  A: Jeff, Time is getting short, I know. Already I was reminded of this when my brother-in-law told us ...
area4/11/2006
  Q: A rectangle with one side on the x-axis has its upper vertices on the graph of y=cosx .What is the ...
  A: Jeff, Subject: areaHi, A rectangle with one side on the x-axis has its upper vertices on the ...
AP Exam 2003 form B4/9/2006
  Q: Please go to: http://apcentral.collegeboard.com/repository/ap03_sg_calculus_ab_b_26473.pdf This is ...
  A: Jeff, You wrote: Subject: AP Exam 2003 form BHi Paul, Please go to: ...
Maximum area4/9/2006
  Q: My name is Janette I am studying maths education andI know this is simple but I want to check ...
  A: Janette, You wrote: I am studying math education and I know this is simple but I want to check ...
Now let's assume that Sue...4/8/2006
  Q: Now let's assume that Sue and Ann do not study together, so whether one passes will be independent ...
  A: Jason Asks in Category Calculus: Subject:Now let's assume that Sue and Ann do not study together, ...
integration by substitution4/7/2006
  Q: My name is Megan and I can not figure out how to integrate cos 4x/(1+2 sin4x)^4 dx I have tried ...
  A: Megan, Subject: integration by substitutionMy name is Megan and I can not figure out how to ...
limit of integral4/7/2006
  Q: My AP exam is 3 weeks away and I'm studying hard! I'm hoping you can help me with the followingIf F' ...
  A: Jeff, Subject: limit of integralHi Paul, My AP exam is 3 weeks away and I'm studying hard! I'm ...
rate of change4/7/2006
  Q: how does my answer key get "5 million"?Hi Paul, A certain species of fish will grow from x million ...
  A: Jeff, Sorry, but I can't come up with anything really good on this one. Normally, growth of a ...
related rates4/5/2006
  Q: Ok, here's another one. A boat is pulled into a dock by a rope attached to the bow of the boat and ...
  A: Nicole Asks in Category Calculus: Subject: related ratesOk, here's another one. A boat is pulled ...
This too4/5/2006
  Q: Also: Evaluate using integral table, indicate formula number and simplify as much as possible. ...
  A: Donny, You wrote: Evaluate using integral table, indicate formula number and simplify as much as ...
rate of change4/4/2006
  Q: A certain species of fish will grow from x million to x(15-x) million each year. In order to sustain ...
  A: Jeff, You wrote (sort of) A certain species of fish will grow from x to x(15-x) each year. In ...
related rates4/4/2006
  Q: If a snowball melts so that its surface area decreases at a rate of 1 cm^2/min, find the rate at ...
  A: Nicole, You wrote (sort of) Subject: related ratesIf a snowball melts so that its surface area ...
Linear Algebra4/3/2006
  Q: Find principal axes of the quadratic form q(x) = 2(x1)^2 + 3(x2)^2 + 2(x3)^2 - 2x1x3 Thank You ...
  A: Nadia, I am afraid it has been a long time since I did any linear algebra and it may take me some ...
integration given 1 definite integral3/31/2006
  Q: Let f be a continous function such that the integral of [f(2x)] dx from 2 to 3 =8. What is the value ...
  A: Jeff, Subject: integration given 1 definite integralHi Paul, Let f be a continous function such ...
calc 13/29/2006
  Q: #1 Determine F'' with respect to x: ln ((e^x) – 1) #2 An object moves vertically ...
  A: Paul, Subject: calc 1#1 Determine F'' with respect to x: ln ((e^x) - 1) #2 An object ...
first derivative to find slope of tangent line3/28/2006
  Q: My name is Pernell. Studying calculus. I tried by taken the given: f(x)=2x^+ x, find the equation of ...
  A: Pernell, You wrote: Subject: first derivative to find slope of tangent lineMy name is Pernell. ...
i'm denise and i'm doin calculus.i...3/28/2006
  Q: i'm denise and i'm doin calculus.i made an equation in order to use the differentiation method to ...
  A: Denise, First suggestion: When you enter your problems into the computer, they are easier for me ...
The differential3/27/2006
  Q: Can the dx found in an integral be thought of as a differential?
  A: Ronald, You wrote: The differentialCan the dx found in an integral be thought of as a differential? ...
Related Rates - Pyramid3/27/2006
  Q: Paul Klarreich, My name is Daniel and I'm studying Calculus AB abroad (Brazil). I've tried this ...
  A: Daniel, You wrote: Related Rates - PyramidDear Mr. Paul Klarreich, My name is Daniel and I'm ...
area of stadium3/26/2006
  Q: what is the maximum area of a stadium (ice rink shape) whose perimeter is 200 meters
  A: Greg, You wrote: area of stadiumwhat is the maximum area of a stadium (ice rink shape) whose ...
Solving the Quintic3/24/2006
  Q: There are algorhythms for sloving quadratic, cubic and quartic equations. Is there an algabraic ...
  A: Jason, You wrote: Subject: Solving the QuinticHello. There are algorhythms for sloving quadratic, ...
chain rule3/23/2006
  Q: I am studying Calculus and am On the chain rule. This is the weirdest concept ever. I have worked ...
  A: Josh, You wrote:Hello my name Is joshua gesell. I am studying Calculus and am On the chain rule. ...
related rates(kind of)3/21/2006
  Q: I hope I'm finding you in the best of health. Please go to the following site for my ...
  A: jeff, You wrote: Subject: related rates(kind of) >> Actually, it isn't.Hi, I hope I'm finding ...
Second derivatives3/21/2006
  Q: 1. My name is Danielle 2. I am studying Calculus with Analytic Geometry 3. I can follow through on ...
  A: Danielle, You wrote:1. My name is Danielle 2. I am studying Calculus with Analytic Geometry 3. I ...
calculus/integation3/19/2006
  Q: I am an adult doing home study of beginning calculus. Through the operation of integration, we are ...
  A: You wrote: ..................... Wayne Asks in Category Calculus: Subject: ...
critical numbers3/16/2006
  Q: i tried to do this problem, i am just looking for verification that it is correct. If i did ...
  A: chevonne, Subject: critical numbersHi again, i tried to do this problem, i am just looking for ...
L'Hospital's Rule3/15/2006
  Q: Im completly lost on what to do here, i tried taking the ln of both sides, but it didnt seem right. ...
  A: Chevonne, Subject: L'Hospital's RuleIm completly lost on what to do here, i tried taking the ln of ...
IVT/Rolle's Theorm3/15/2006
  Q: Im really not sure at all what to do here. PLease help me. Show that the equation 2x-1-sinx=0 has ...
  A: Chevonne, You wrote: Subject: IVT/Rolle's TheormIm really not sure at all what to do here. PLease ...
critical values3/15/2006
  Q: i tried to do this problem, i am just looking for verification that it is correct. If i did ...
  A: Chevonne, Subject: critical valuesHi again, i tried to do this problem, i am just looking for ...
Derivative3/14/2006
  Q: 1. Deborah 2. Calculus 3. I've already tried the problem but dont understand how to arrrive at the ...
  A: Deborah, You wrote: Subject: Derivative1. Deborah 2. Calculus 3. I've already tried the problem but ...
Calculus3/13/2006
  Q: A rectangular field is going to be enclosed and divided into two separate rectangular areas. (the ...
  A: Julia Asks in Category Calculus: Subject: CalculusA rectangular field is going to be enclosed and ...
integral calculus and the substitution rule3/13/2006
  Q: 1 kyle 2 calculus and the substitution rule 3 ? if f is continuous and s from 0 to 9 f(x)dx=4, ...
  A: kyle, You wrote: Subject: integral calculus and the substitution rule1 kyle OK, OK, I get your ...
integral3/12/2006
  Q: i wonder how the 3 dissapered from the answer. Followup To Question - evaluate the integral 1 ...
  A: Ali, Of course, you didn't notice the sneaky trick i pulled on you, just as you didn't notice my ...
Sum of an infinite series3/11/2006
  Q: I must find the sum of the series... sum from n=2 to inifnity of ln(1-(1/(n^2))). I have NO idea ...
  A: Jose,I must find the sum of the series... sum from n=2 to inifnity of ln(1-(1/(n^2))). I have NO ...
integral3/10/2006
  Q: evaluate the integral IN THREE THREE WAYS X DIVIDED BY THE SQUAREROOT OF (X^2-9). hint : let x^2-9 = ...
  A: Amanda, Subject: integralevaluate the integral IN THREE THREE WAYS X DIVIDED BY THE SQUAREROOT OF ...
Precession of the earth3/9/2006
  Q: I'm Wayne. I'm trying to compute the max torque the moon could have toward causing the precession of ...
  A: Wayne, I'm sorry, but it has been many, many years since college physics and I'm out of my league ...
Calculus3/8/2006
  Q: Hey, i'm Ibraheem Tannira, I'm a senior studying Calculus, i really wanna thank u for ur help in ...
  A: Ibraheem, You wrote: Subject: CalculusHey, i'm Ibraheem Tannira, I'm a senior studying Calculus, i ...
Slope of a Tangent3/8/2006
  Q: Fine the points on the graph of y = (x^3)/3 - 5x - 4/x at which the slope of the tangent is ...
  A: Dave, You wrote: Subject: Slope of a TangentFine the points on the graph of y = (x^3)/3 - 5x - 4/x ...
Calculas3/7/2006
  Q: What is the Integration of ((csc x)/(2(sin x + cos x)))
  A: Ibraheem, Subject: Calculas >> That's Calculus.What is the Integration of ((csc x)/(2(sin x + ...
differentials3/7/2006
  Q: luke differentials f(x)= 3/SQUARE ROOT OF X I HAVE TRIED FINDING THE F' BUT I AM COMPLETELY LOST. ...
  A: Luke, You wrote: Subject: differentials differentials f(x)= 3/SQUARE ROOT OF X I HAVE TRIED ...
Calculas (Integration)3/6/2006
  Q: What is the Integration of Sec x dx
  A: Ibrahim, You wrote:What is the Integration of Sec x dx ------------------------------ This is a ...
volume of circular torus prrof3/3/2006
  Q: I wanted to see how to derive the formula for the volume of a circular torus. I know the volume of ...
  A: Ashwin, (Should I address you as Kumar?) YourI wanted to see how to derive the formula for the ...
Rate of change2/28/2006
  Q: My name is Jake and i am studying rates of change in calculus. The question i am having troubles ...
  A: Jake, You wrote: Subject: Rate of changeMy name is Jake and i am studying rates of change in ...
linear approximations2/27/2006
  Q: Find the linear approximation of the function g(x)= (1+x)^(1/3) at a=0 and use it to approximate ...
  A: chevonne Asks in Category Calculus: Subject: linear approximationsFind the linear approximation of ...
related rates2/27/2006
  Q: Two carts, A and B, are connected by a rope 39ft long that passes over a pully P. The point Q is on ...
  A: Chevonne, Subject: related ratesTwo carts, A and B, are connected by a rope 39 ft long that passes ...
hyperbolic functions2/27/2006
  Q: find the derivative: y = x/xtanh+ln*sqrt(1-x^2)
  A: chevonne, Yourfind the derivative: y = x/xtanh+ln*sqrt(1-x^2) ------------------------------- ...
Cal/ Trig2/26/2006
  Q: how would I find the area of an triangle with a=11.8, b=12.6, and c=14.8
  A: Dipti, Subject: Cal/ Trighow would I find the area of an triangle with a=11.8, b=12.6, and c=14.8 ...
Calculus/Trig2/26/2006
  Q: how would i do this? Given the triangle with b=4, c=10, and A= 84 degrees, what is the length of ...
  A: Dipti, You wrote: Subject: Calculus/Trighow would i do this??? Given the triangle with b=4, ...
Differential Equations2/25/2006
  Q: I have a question about the constant of integration when integrating both sides of a diff e. The ...
  A: Brian, You wrote: Subject: Differential EquationsI have a question about the constant of ...
Range2/24/2006
  Q: How do you find the range of a function when it is in completed square form- (x+a)^2 +b I took the ...
  A: Simon, You wrote: Subject: RangeHello. How do you find the range of a function when it is in ...
differential equations2/24/2006
  Q: I hope I'm finding you in the best of health. ...
  A: Jeff, You wrote: Subject: differential equationsHi, I hope I'm finding you in the best of health. ...
implicit differentiation2/22/2006
  Q: use implicit differentiation to find an equation of the tangent line to the curve at a given point. ...
  A: chevonne, Subject: implicit differentiationuse implicit differentiation to find an equation of the ...
implicit differentiation2/22/2006
  Q: find the second derivative of: x^1/2 + y^1/2 = 1
  A: Chevonne, Subject: implicit differentiationfind the second derivative of: x^1/2 + y^1/2 = 1 ...
bernoulli2/22/2006
  Q: y'+2xy=xy^2
  A: Rozzi, You wrote: Subject: bernoulliy'+2xy=xy^2 ---------------------------- Huh??? What's the ...
greens theorem2/22/2006
  Q: im a little stuck with thisQ: Use a line integral round the ellipse (x^2/a^2)+(y^2/b^2) = 1 to find ...
  A: James Waller Asks in Category Calculus: Subject: greens theoremHi, im a little stuck with thisQ: ...
revolution solids2/21/2006
  Q: Find the volume of the solid of rotation obtained by spining the region determined in the first ...
  A: Graciela, YourFind the volume of the solid of rotation obtained by spinning the region determined in ...
Solid of revolution2/21/2006
  Q: My name is dragracielarosario2001@yahoo.es 1-Find the volume of the solid of revolution obtained ...
  A: Graciela, I am afraid that if you ask me to do all your homework there wouldn't be time to get it ...
Improper integrals / work2/20/2006
  Q: A 5-ton rocket is fired from the surface of the earth into outer-space. a)How much work is required ...
  A: Jose, It has been too long (try 48 years) since I took physics, but it seems to me that you would ...
find integral of both problems2/18/2006
  Q: 1. (x+2)/(x-2)^4 2. (x^2 -5x +6)/(x^2 + 4)
  A: Sonny, I think this is the first time you have sent a question, in which case I must give you this ...
limits2/16/2006
  Q: Given the function f(x)={x^2-1 if x<3 {2x+1 if x>3 Find the limit of f(x) ...
  A: Jackie, You wrote:Given the function f(x) = {x^2-1, if x<3 {2x+1, if x>3 Find the ...
Calculus2/16/2006
  Q: 1) Find the extrema (maximums and minimums) of the function: f(x)= xe^(-2x). 2) Find the slope of ...
  A: Tina, Your1) Find the extrema (maximums and minimums) of the function: f(x)= xe^(-2x). 2) Find ...
Series2/14/2006
  Q: something to do with this formula: Sn=a1-a1r^n ------------- 1-r S6=252 S2=12 S4=? ...
  A: Aqsa, Subject: SeriesHi. i would like to know: if i knew that: Sum of the first 6 numbers in a ...
Brief calc2/14/2006
  Q: I don't actually have one question in Calculus but rather if you know a web source that might help ...
  A: Chuck, You wrote: Chuck Asks in Category Calculus: Subject: Brief calcHi Paul, I don't actually ...
Areas2/14/2006
  Q: Goodday, Please how am i supposed to find the area below the curve y = 1/x from x = 0 to x = 2. ...
  A: Pharell, You wrote: Subject: AreasGoodday, Please how am i supposed to find the area below the ...
Calculus2/13/2006
  Q: Find the derivative of the functions. 1. f(x)= ln(2x/x+3) 2. f(x)= ln(x + square root of(4+x^2))
  A: Oz, You wrote: Subject: CalculusFind the derivative of the functions. 1. f(x)= ln(2x/x+3) 2. ...
Differentiation2/12/2006
  Q: I'm doing some review problems in preperation for a midterm and was wondering if you could help me ...
  A: Tom, YourI'm doing some review problems in preperation for a midterm and was wondering if you could ...
vector fields2/12/2006
  Q: sorry, here is the question in full: Show that a spherically symmetric vector field F of the form F ...
  A: James, You wrote:hi again, sorry, here is the question in full: Show that a spherically symmetric ...
prev question2/11/2006
  Q: sorry in my previous question i had a typo, it should have been F = f(r)r* [not f'(r)]. thank you
  A: James, You wrote: ....................... James Asks Subject: prev questionsorry in my previous ...
calculus 2 related rates2/9/2006
  Q: An aircraft climbing at a constant angle of 30o above the horizontal passes directly over a ground ...
  A: Ali, You wrote: Subject: calculus 2 related ratesAn aircraft climbing at a constant angle of 30o ...
I cant find the second derivative please help2/9/2006
  Q: x^2+6xy+y^2=8 please show me the work
  A: nic, You wrote: I cant find the second derivative please helpx^2+6xy+y^2=8 please show me your ...
Maths Question2/8/2006
  Q: find the shortest distance from the point(4,2) to the parabola 8x=y^2
  A: Brian, Yourfind the shortest distance from the point(4,2) to the parabola 8x=y^2 I suppose there ...
I cant find the second derivative please help2/8/2006
  Q: x^2+6xy+y^2=8 please show me your work
  A: nic, You wrote: Subject: I cant find the second derivative please helpx^2+6xy+y^2=8 please show ...
Optimization regarding angles2/8/2006
  Q: In the figure ( http://img.photobucket.com/albums/v211/silverpyro/11.jpg ), BD is an advertisement ...
  A: Mona, YourIn the figure ( http://img.photobucket.com/albums/v211/silverpyro/11.jpg ), BD is an ...
calculus2/5/2006
  Q: 1]Show that the curve y=|x| has NO tangent line at x=0. 2]Show that lim x->o X^2cos(1/x^2)=0. ...
  A: Billy, Your Questions: 1]Show that the curve y=|x| has NO tangent line at x=0. If it had one, ...
Using theorems to find roots of functions2/3/2006
  Q: Since you'd helped me immensely before with a problem, I thought I'd pester you again about this ...
  A: Kayla, >> Thank you for the kind comments. YourHello! Since you'd helped me immensely before with ...
Calculus trouble.2/2/2006
  Q: So to put it as a +/- answer, I would have to write it as: - arcsin(x/3) or would it be the entire ...
  A: Ben, YourSo to put it as a +/- answer, I would have to write it as: - arcsin(x/3) or would it be ...
Calculus trouble.2/2/2006
  Q: I have been stumped on this problem and finally have given up. Would you care to help me? It is: ...
  A: Ben, YourI have been stumped on this problem and finally have given up. Would you care to help ...
Definition of the Derivative1/27/2006
  Q: In the definition of the derivative as the limit of the difference quotient we say that the limit, ...
  A: Viktor, [THERE WAS SOMETHING WRONG AT THE ALLEXPERTS SITE, SO THERE WAS SOME DELAY IN SENDING ...
Calculus (Finding an equation of a tangent line)1/25/2006
  Q: I am having trouble finding an equation of the tangent line to the graph of y = e^-2x at the point ...
  A: Steven, YourI am having trouble finding an equation of the tangent line to the graph of y = e^-2x ...
Infinite series1/24/2006
  Q: I've decided to tackle a "method of image" problem in electrostatics involving two conducting ...
  A: Trent, I'm sorry but this doesn't seem familiar. Actually your second set of definitions: L(0) = L ...
calculus1/23/2006
  Q: 1. a) Graph each of the following functions using BOUNCE AND BEND. b) Analyze each of the ...
  A: Khurram, A further suggestion, that might take care of things for you. When you have a polynomial ...
Differentiation1/23/2006
  Q: Wondering if you can help me with a review problem that I'm having trouble with? It is in regard to ...
  A: Carson, YourCompute the derivative of the given function and find the slope of the line that is ...
motion in a straight line1/23/2006
  Q: Klarriech, Recently I have been requested to teach calculus and its applications to older students ...
  A: Roy YourRecently I have been requested to teach calculus and its applications to older students . I ...
integration1/21/2006
  Q: What is the volume of the solid enclosed by x=y^2 , x=-y , y=2 , and y>=0 using the shells method? ...
  A: Christine, YourWhat is the volume of the solid enclosed by x=y^2 , x=-y , y=2 , and y>=0 using the ...
definition of a limit1/20/2006
  Q: Im still a little baffled as to which function actually holds WRONG for the wrong definition but yet ...
  A: Jerry, You wrote: thanks again for your thoughts. Im still a little baffled as to which function ...
definition of limit1/19/2006
  Q: Paul thanks for the reply. When i look at the GIF function, i can certainly see how the general ...
  A: Jerry, YourPaul thanks for the reply. When i look at the GIF function, i can certainly see how the ...
definition of a limit1/19/2006
  Q: Addendum : I think the question wants an example of a function where the limit DOES exist but yet ...
  A: Jerry I think the question wants an example of a function where the limit DOES exist but yet the ...
definition of a limit1/18/2006
  Q: The formal definition of a limit is as follows: Let f(x) be defined on an open interval about x0, ...
  A: Jerry, You wrote: The formal definition of a limit is as follows: Let f(x) be defined on an open ...
Calculus1/16/2006
  Q: Okay I'm back. How would I graph the following: y=2x-400 using the window ...
  A: Rebecca, Followup: the graphing program is at: ftp://members.aol.com/pklarreich/plotter/plot.exe ...
Derivative Applications1/16/2006
  Q: Find absolute max. and min F(x) = x^ -2x =+3 [0,5]
  A: Jordan, In yourFind absolute max. and min F(x) = x^ -2x =+3 [0,5] I think you mistyped something. ...
finding the average rage of change of two points1/14/2006
  Q: There are 3 questions that have 3 parts to them. The average rate of change between points given. ...
  A: Rebecca, Re: finding the average rage of change of two points Yes, I get pretty angry, too, when ...
Limits1/13/2006
  Q: im just learning limits and i dont understand what you can do with limit questions like what steps ...
  A: Terry, Thank you for your nice feedback. About reading the equations: I have been on 'vacation' ...
related rates1/9/2006
  Q: I hope I'm finding you in the best of health.The radius “r” of a sphere is increasing at a constant ...
  A: Jeff, Your problem: ------------------ The radius “r” of a sphere is increasing at a constant rate ...
Proving a limit is false1/9/2006
  Q: We're studying the precise definition of limits in my calculus course. I think I understand how to ...
  A: Kayla, You wrote: Hello! We're studying the precise definition of limits in my calculus course. I ...
Suppose that f is continuous...11/29/2005
  Q: Suppose that f is continuous on [-3,3] and differentiable on (-3,3)with f'(x)>=-5 for each x in ...
  A: You sent this earlier. Use these principles: The concepts here are the interpretations of the first ...
calculus11/28/2005
  Q: 1. Let f(x)=1-x^2/3 Show that f(-1)=f(1) but there is no number in (-1,1)such that f'(c)=0.Why dose ...
  A: 1. Let f(x)=1-x^2/3 Show that f(-1)=f(1) but there is no number in (-1,1) such that f'(c)=0. Why ...
Application of Differentation11/27/2005
  Q: A woman at a Point A on the shore of a circular lake with radius 2 mi wants to arrive at point C ...
  A: Scott, When you sent this question last November, I wrote to you: -------------------- This is an ...
Disk Method11/25/2005
  Q: I have a problem that I am having a hard time solving. I need to find the volume of the solid ...
  A: Emily, Assuming you only need the integral of cos^2(x),there is a standard 'trick' for it. It is ...
to know how you solve11/25/2005
  Q: Suppose that on a certain root, Ethiopian airlines carries 8000 passangers per month, each paying ...
  A: Dassalegn, YourSuppose that on a certain root, Ethiopian airlines carries 8000 passangers per ...
Calculus I11/24/2005
  Q: I hope 3 questions isn't too many. Please assist with as many as you can. 1.) a.) If f(x)= ...
  A: Drew, 1.) a.) If f(x)= x/2[sin(ln x) + cos(ln x)] + ln(1 - cos x)^1/2 Find: f '(x) This is ...
integrals11/24/2005
  Q: ( ..e^(1/(x+1) ..---------- dx ) ..(x + 1)^2 ( ..sin^2 x-cos^2 x ..--------------- dx ) ...
  A: Jessica, I have to know how to do integral problems like these. My test will me almost exactly like ...
integrals11/24/2005
  Q: evaluate ( (x + 2 / x + 1) dx )
  A: Jessica,evaluate ( (x + 2 / x + 1) dx ) ---------------------- I take it ...
convergence or divergence of a series11/24/2005
  Q: Mr. Klarriech, I never received an answer to the questions below. There are two questions in the ...
  A: Leslie, [THIS IS WHAT I THOUGHT I SENT THE FIRST TIME. IF YOU DIDN'T GET IT, I CAN UNDERSTAND THAT ...
Related Rates11/23/2005
  Q: I am having alot of trouble with related rates and optimization problems. Is there anyway you could ...
  A: ---------- Your----------------- Dear Mrs Klarreich: I am having alot of trouble with related rates ...
1. a. If...11/23/2005
  Q: 1. a. If f(1)=10 and f’(x) >= 2 for 1 <= x <= 4 , then how small can f(4) ...
  A: Dessalegn, Your question came in somewhat garbled. I have had to guess what you meant in some ...
factorials and series11/22/2005
  Q: my name is leslie and I want to know how i can seperate (2x+2)! I know that if i have (x+1)! i can ...
  A: Of course, the word is SEPARATE. But... You can rewrite (2x+2)! in much the same way; whether it ...
to know11/22/2005
  Q: 1-A company determines that it can sell 1000 units of a product per month if the price is 5 birr for ...
  A: Dessalegn, I must ask a couple of things from you in the future: (A) Don't send duplicate ...
Calculus AP11/21/2005
  Q: 1) The graph of the eight curve, x^4=a^2(x^2-y^2), a doesn't = 0. Determine the points on the curve ...
  A: Diana, I know it is a bit late, but: A reader has discovered an error in my computations, and the ...
related rates11/21/2005
  Q: 1) a spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 ...
  A: Amy,1) a spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 ...
calculus11/21/2005
  Q: Given g(x)=4, g'(-2)=5 and g(2)=1 for some differentiable function g then a. if f(x)=g'(x*x-3x)for ...
  A: Given g(x)=4, g'(-2)=5 and g(2)=1 for some differentiable function g then NO, this is not logical. ...
Calculus11/20/2005
  Q: again I ran into another difficult problem, can you help me? Thanx. A man 6 feet tall walks at a ...
  A: Oz, I think you want to start with part (C). Construct two diagrams, that are fairly similar. In ...
Calculus11/20/2005
  Q: Note: In these problems there are subscripts. They are after the "a"'s (0,1,2). A) Find the ...
  A: Barbara, All you really have to do in these examples is compute and equate the derivatives of the ...
AP Calculus11/20/2005
  Q: can you please help me? Thank you. An astronaut standing on the moon throws a rock into the air. ...
  A: Ellesse, An astronaut standing on the moon throws a rock into the air. The height of the rock is s ...
Calculus AB11/19/2005
  Q: a) Find an equation of the tangent line to the parabola y=x^2 at the point (2,4). b) Find an ...
  A: Alex, I hope you are enjoying your AP calculus class. I must say, however, that the last part is ...
Calculus11/19/2005
  Q: Find a third degree polynomial p(X) that is tangent to the line y=14x-13 at the point (1,1), and ...
  A: Oz, (I shall attempt to refrain from remarks concerning the wizardry needed to solve this ...
related rates11/17/2005
  Q: 1) a girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her ...
  A: Amy, If these are your first related-rates problems, here is the general scheme: 1. there will be ...
l'hopital's rule11/16/2005
  Q: use l'hopital's rule to find the limits. 1) lim x-->0 (sin x)^(tan x) 2) lim x-->infinity ...
  A: Amy, You're really moving fast. Last I heard from you, it was basic calculus, like chain rule, ...
Derivative problem10/30/2005
  Q: i'm doing an online calculus course and am stuck on a problem relating to derivatives. Can you ...
  A: Stephen, If y = (2x^7 - x^2)[(x-1)/(x+1)] then this is nothing more than a fairly messy quotient ...
Sequence10/30/2005
  Q: I'm Ramy... Please will you help me in understanding the def. of the limits involving Infinity as ...
  A: Ramy, WAIT A MINUTE -- are you THE Ramy who used to work at BCC? (If you aren't, then never mind.) ...
derivatibes involving general exponentials10/29/2005
  Q: find the derivative of y with respect to the given independent variable. 1) ...
  A: Amy, Rules: log(base a) x = ln(x)/ln(a) So log7(...) = ln(...)/ln 7 Also since a = exp(ln a) ...
help with this problem10/29/2005
  Q: find the equations of the two tangent lines that are tangent to both lines y=x^2 and y= -x^2+6x-5. ...
  A: Matt, Find the equations of the two lines that are tangent to both graphs (A) y = f(x) = x^2 and ...
Calculus10/28/2005
  Q: I need to expand p=(x-2)(x-3)(x-2+1) using zeroes and their multiplicities... ...
  A: Meegin, The Fundamental Theorem just says that any polynomial of degree 'n' with real coefficients ...
vertical tangent lines10/27/2005
  Q: For what value of x does the function 5x^2+2xy+y^2=16 have a vertical tangent line? a. x=2 only b. ...
  A: Jeff, (SORRY THE TEXT GOT MESSED UP BEFORE.) In yourFor what value of x does the function (you mean ...
numerical values of derivatives-chain rule?10/26/2005
  Q: find the value of (f * g)' at the given value of x. 1) f(u)=u^5+1, u=g(x)=sqrt(x), x=1 2) ...
  A: Amy, Like other chain rule examples, you write that: dy dy du -- = -- -- dx du du After ...
implicit functions10/24/2005
  Q: use implicit differentiation to find dy/dx and then d^2y/dx^2 1) 2sqrt(y)=x-y 2) if x^3+y^3=16, ...
  A: Amy, Differentiating implicit functions is actually fairly easy, although sometimes we don't like ...
Sequence10/24/2005
  Q: I'm Ramy... Please will you help me in understanding the def. of the limits involving Infinity as ...
  A: Ramy, In your definition: For Every e>0, there exists M > 0: If N > M then absolute F(x)-L < e ...
trigonometry units10/21/2005
  Q: . . i am a second year ap calc teacher and the other day my class and i were solving a related rates ...
  A: Matthew, I wasn't aware there was such a thing as second year AP calculus. OH -- you mean it's ...
derivatives10/20/2005
  Q: find dy/dt. 1) y=(1 + cot(t/2))^-2 2) y= (1 + tan^4 (t/12))^3
  A: Amy, By now you should see how to set these up as extended chain rule examples. 1) y= (1 + ...
derivatives10/20/2005
  Q: find the derivatives. 1) y=x^2sin^4x + xcos^-2x 2) y=(1/21)(3x-2)^7 + (4 - (1/2x^2))^-1
  A: Amy, Things are getting messy about now, aren't they? These examples are nothing more than some ...
derivatives10/20/2005
  Q: find the derivatives. 1) q=sqrt(2r-r^2) 2) r=(csc x + cot x)^-1
  A: Amy, These are Chain Rule examples. (You should be up to that by the 7th week of Calc I.) Use the ...
derivatives10/15/2005
  Q: find the derivatives of the functions 1) r= 2((1/sqrt(theta)) + sqrt(theta)) 2) ...
  A: Amy, Tough weekend, right? I think that after the first two 'messages' I will just outline these ...
derivatives10/15/2005
  Q: find the first and second derivatives 1) w=3z^-3 - 1/z 2) r= 12/theta - 4/theta^3 + 1/theta^4
  A: Amy, These are just power law examples. Write each using powers of 'x', possibly with negative ...
u-substitution10/12/2005
  Q: Your was exactly what I wanted last time.Thanks.Now, I have a question on integrals that I'm hoping ...
  A: Jeff, Thank you for the kind comments. After that one, this should be a cinch. You have a ...
funtions ---math10/12/2005
  Q: . i just have some questions regarding functions. i have this problems but i'm not sure if tyhey are ...
  A: Andrea, You can think of functions in several ways == a black box, a computer program, etc. But ...
Integrating a function10/11/2005
  Q: How do you integrate the following function: 1/( sqrt(1+2x)+3 ) It is hard to do ...
  A: Jon, Try this scheme. (If you get stuck after this, let me know and I'll send some more stuff.) To ...
distaste for math10/8/2005
  Q: I'm a college student studying biology. In the abstract I think math is a great thing and would like ...
  A: Lee, I'm sorry you seem to be having trouble with enjoying math. Of course, part of the enjoyment ...
difficult algebra10/7/2005
  Q: I hope I'm finding you in the best of health. Find the values of c that satisfy Rolle's Theorem for ...
  A: Jeff, You wrote: Hi! I hope I'm finding you in the best of health. ==== I thank you for your ...
finding the value of a limit10/7/2005
  Q: cos(Pi/2 +h)- cos(Pi/2) lim __________________________ h->0 h ...
  A: Stephen, (Oops, you are Mr. Bubbles. Anyway, this the answer I sent him.) One of the difficulties ...
Antiderivatives10/7/2005
  Q: Could you please explain what an antiderivative of a derivative is? Thanks.
  A: Kim, The antiderivative is (almost) the opposite of differentiation. Given a function f(x), if you ...
tangent lines10/5/2005
  Q: find the slope of the function's graph at the given point. then find the equation for the tangent to ...
  A: Amy, Here is what you do, in general, to find the equation of the tangent line to y = f(x) at a ...
limits10/5/2005
  Q: find the limit of the following problem: (here is a pic of it: ...
  A: Stephen, One of the difficulties I always face around this time of the year (early October) is that ...
calculus10/3/2005
  Q: if possible. can u e-mail me back asap they deal with derivatives 1. find ...
  A: Gina, Your question lacks context, unfortunately. I am not sure just what level of calculus you ...
andrew10/3/2005
  Q: Integrate wrt x 2\(e^x +1) By 1 using the substitution u = e^x By 2 multiplying through out by ...
  A: Andrew, [this might be a duplicate] As you can see, the (annoying/delightful) feature of ...
second derivatives10/3/2005
  Q: i was curious as to why it is d^2y / dx^2 when taking the second derivative but when u take the ...
  A: Ed, There are a number of different notations for the derivative, and that's really what your ...
limits9/30/2005
  Q: 1) lim x-->0 (2x+sin x)/x 2) lim h-->0 (1-cos 5h)/(cos7h-1)
  A: Amy, Your limit problems were: 1) lim x-->0 (2x+sin x)/x 2) lim h-->0 (1-cos 5h)/(cos7h-1) You ...
graphing9/29/2005
  Q: i have been out of class for 2 weeks b/c i was in new orlens with fema, so i don't know where to ...
  A: Mathew, Thanks for your good work in N.O. For a quadratic function in general: f(x) = ax^2 + bx + ...
limited9/29/2005
  Q: find : lim 1-sin2x x____1 ________ x-1
  A: Tariq, The font on your question made it hard to read, but I am assuming you want: lim 1-sin2x ...

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