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About Sherry Wallin
(Top Expert on this page)

Expertise
I can answer most questions up though Calculus and some in Number Theory and Abstract Algebra.

Experience
I have had my Bachelor's Degree since 1987 and have been a teacher since 1988.

Education/Credentials
I have taught 10 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor

   

You are here:  Experts > Science > Mathematics > Advanced Math

Questions Answered By Expert  Sherry Wallin 
In Category  Advanced Math

SubjectDate Asked

maxima and minima11/20/2009
  Q: pls help me with the following problems. 1) How to find the extreme values and test if they are ...
  A: for #1 What is m? Is it a variable or a constant? If it is a constant then take the first partial ...
rules and function tables homework11/19/2009
  Q: rule: 6+a=b a b 2 10 15 ...
  A: Joey, what is that column of numbers? Is that suppose to be values for a? If so, simply take the 2 ...
please help soon11/18/2009
  Q: do you know how to find the inverse of the relation {(3,-2),(4,0),(-5,-1),(-1,6)}
  A: "In mathematics, the inverse relation of a binary relation is the relation that occurs when you ...
functions11/16/2009
  Q: If f(x-3)=x^3+2x^2+7x+1, determine f(x) I tried to divide x^3+2x^2+7x+1 by x-3, but my answer was ...
  A: What you want is a function that when you evaluate it at (x-3) you get x^3+2x^2+7x+1. Shift our x ...
#3 Trig11/16/2009
  Q: I'm stuck and need some help.
  A: If P1 is on the wheel where it is shown and 2 seconds later P2 is at the top of the wheel then P1 is ...
f(g(x)11/15/2009
  Q: I only have one problem that I don't understand: 6. Confirm that f and g are inverses of eachother ...
  A: Celia~ I like to think of finding the inverse as a game and part of that game is substituting ...
advanced math11/15/2009
  Q: Pipe A leads into a tank, and Pipe B drains the tank. Pipe A can fill the entire tank in 10 minutes. ...
  A: This is a work rate type problem. You know in a work problem that the rate is 1 over the time so if ...
rotating11/14/2009
  Q: Please help me. I want to know how to find the coordinates of a point on the circumference of a ...
  A: Klaus~ You are rotating clockwise 90 degrees, this means from the point (6,6) in Quadrant I ...
Algebra II.....please help me its urgent!!!11/13/2009
  Q: 6.The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: ...
  A: Choose a few questions or I will address a couple. This site (as far as I am concerned) is for ...
proofs11/12/2009
  Q: suppose that a and p are natural numbers and that p is prime. are there values of a and p where ...
  A: What does it mean to be the greatest common divisor? It means what is the smallest divisor that ...
Equivalent Trignometric Functions11/11/2009
  Q: can you help me in this question please? It says choosing appropriate values for A and B, verify ...
  A: If you look at what happens in the first quadrant with the sine function and the cosine function you ...
pre calc11/10/2009
  Q: the machine is baught for 1000 dallors and after 5 years value is 100 dallors find a formula for the ...
  A: This all depends on if the price depreciates 'linearly' which I am assuming it is so then you have ...
trig11/9/2009
  Q: Directions- solve each equation for solutions over the interval [0*,360*] (*=degrees). Give ...
  A: What you gave me factors as (cos^2 theta - sin^2 theta) = (cos theta + sin theta)(cos theta - sin ...
Function Rules11/8/2009
  Q: What is the function rule if x = 5, 10, 15, 20 (that is the easy part) y = 10, 5, 10, 15. I can see ...
  A: Penny~ Try plotting the ordered pairs (5,10), (10,5), (15,10), (20,15) to see what shape you ...
Pre-Calculus11/8/2009
  Q: I need help with this problem, please: Suppose points A, B, and C have coordinates A (0, 0), B (1, ...
  A: u= (1-0,-2-0) = (1,-2) v= (4-1,2--2) = (3,4) cos x = u dot v/|u||v| = 1(3) ...
Ratio11/7/2009
  Q: I have a ratio problem I solved it with 2 ways one I know to be mathematically correct but the other ...
  A: I just viewed the video and he is a good math teacher. You want to do what he did with pure math and ...
Trig11/7/2009
  Q: I need help with this problem, please! Find the exact value of tan(sin^-1(-square root of 3 divided ...
  A: First things first. The sine of angle is a number but the inverse sine of a number is an angle. So ...
Ratio11/6/2009
  Q: I have a ratio problem I solved it with 2 ways one I know to be mathematically correct but the other ...
  A: If you are starting with 5 apples and 8 oranges, then why would you begin letting a = total number ...
implicit differentiation involving trig functions11/6/2009
  Q: heres the problem: cos(x+y) + sin(x-y) heres how i started: 1. -sin(x+y)*(1 + dy/dx) + ...
  A: Zachary~ Here is how I would do the problem: I prefer to call dy/dx y' until the end [cos(x+y)]' ...
Ratio11/6/2009
  Q: I have a ratio problem I solved it with 2 ways one I know to be mathematically correct but the other ...
  A: Hamad~ About your 2nd method: first you can't have 13 fruits if you start with 5 apples and 7 ...
pre claculus11/5/2009
  Q: how to list the transformations applied to parent function f(x)=x^4 to obtain g(x)=-2(x-3)^4+5
  A: Beginning with the function f(x) = x^4 your g(x) is obtained by realizing that the leading ...
algebra 211/5/2009
  Q: this is my problem: Ace invests $5000 in an account that earns 5% annually, compounded quarterly. ...
  A: Katharine~ t is time in years. The question could be for a 5 year period and in that case t ...
logarithms11/4/2009
  Q: How would you combine logs with a different base?? My question is log base 3 (x) + log base 27 (x) = ...
  A: Katharine~ This is tricky but here goes. I am using _3 to indicate base 3 Using the following ...
urgent math11/3/2009
  Q: Hey there I have a test tomorrow nigh for Calc and I just can't seem to get the answers for these ...
  A: #3 μ is called mu and is the greek letter mu. In physics we use it for a coefficient (constant ...
urgent math11/3/2009
  Q: Hey there I have a test tomorrow nigh for Calc and I just can't seem to get the answers for these ...
  A: of course I can't answer all these questions so as you asked I'll pick a few to help you out: Let's ...
Calculus: Implicit Differentiation11/3/2009
  Q: Use implicit differentiation to find the slope of the tangent line to the curve 4x^2+2xy–2y^3=8 at ...
  A: Sue~ I'm not sure what part has you lost but to do implicit differentiation it is just like ...
remainder theorem11/2/2009
  Q: a cubic polynomial gives remainders (5x+4)and (12x-1) when divided by x^2-x+2 and x^2+x-1 ...
  A: Belle~ There are a number of ways to approach these problems. I think your teacher wants you to ...
Prime Factorization11/2/2009
  Q: In how many zeros does 150! end? Show your reasoning. I am so lost by this question.
  A: check out 5! and 10! and 15! and 20! and you will find that each multiple of 5 adds a 0 so in 150! ...
Calc - Optimization Problem11/1/2009
  Q: I've been working on the attached problem #6 and I'm getting stuck. Thanks for any help.
  A: You have a right triangle with one leg 4 ft and the other leg x ft so the hypotenuse is ...
math10/31/2009
  Q: how to calculate this? (x-1.2)(x-1.3)(x-1.5)
  A: fzlan87~ You calculate this exactly the same way you would calculate (x-1)(x-2)(x-3). Use foil or ...
Trig10/30/2009
  Q: I need help with this problem, please. Thank you! Find the vertex, the focus, and the directrix. ...
  A: First you need to determine what this is. Is this a hyperbola, an ellipse, or a parabola? Both ...
Trig10/30/2009
  Q: I need help with this problem, please, I didn't get it correct when I submitted it. Thank you! ...
  A: Cindy, use the law of cosines: b^2 = a^2 + c^2 - 2ac*cosB -> b^2 = (23.78)^2 + (25.74)^2 ...
Algebra II10/29/2009
  Q: Can you help me solve the following questions? 21. y²+400 = 0 22. 4z² + 39 = 7 23.(4 + i)(4 - i) ...
  A: Let me clarify something for you first. The word 'solve' means to find a value for a variable in an ...
trig sum and difference formula10/29/2009
  Q: Use a graphing utility to approximate the solutions of the equation in the interval [0, 2π). If ...
  A: sin(2x) + cos(x) = 0 note this implies that sin 2x = - cos x. You could always change - cos x into ...
math10/28/2009
  Q: which is greater ? 2/4 or 6/10
  A: There are a couple of ways to approach this question. One is to reduce each and see what you have: ...
Trig10/27/2009
  Q: I need help with this question, please: An airplane heads 60 at 350 miles per hour. Find ...
  A: The symbol after the 60 isn't coming across but to break the vector into components just do ...
trig sum and difference formula10/27/2009
  Q: A weight is attached to a spring suspended vertically from a ceiling. When a driving force is ...
  A: It is not clear what 1.) is unless it is part (b) and if so then y = 2sqrt(1/6)+(1/4)sin(3t + 37) ...
Algebra II10/26/2009
  Q: Cities A and B are located on an east-west highway at a distance of 244 mi from each other. A truck ...
  A: Janay~ Since the truck and the car are traveling towards each other, the distance each travels ...
Vectors10/25/2009
  Q: can you, please, help me with this homework problem? Find the sum of u + v. Give the magnitude to ...
  A: Ok I think it is clear that you are to find the magnitude of the sum of u + v given the magnitude of ...
Derivative10/22/2009
  Q: how would you solve this derivative Lim [cos(3.14/2+h) - cos(3.14/2)]/h as h aprroaches 0
  A: Was the problem given this way or did you put in 3.14 for pi? And in the denominator of the first ...
Math10/21/2009
  Q: I need to figure our how to get 5 problems to their simplest form: They are: 5x-^4; 3^6/3^3; ...
  A: Any time you have a negative exponent regardless of whether it is in the numerator or denominator, ...
modeling functions and solving10/20/2009
  Q: A rancher with 600 ft of fencing wants to enclose a rectangular area and then divide it into three ...
  A: Let x = the length of the pen and y = the width of the pen. If the plot is divided into 3 pens with ...
consecutive integers10/18/2009
  Q: please explain in detail the process of finding four consecutive integers that equal the sum of 18?
  A: amonpatah~ Choose one of the consecutive numbers to be x and then the next is x+1 and the next after ...
mathematical economic10/17/2009
  Q: i am student of mathematical economic 201 i have few question i can not solve it can you help me to ...
  A: I can help you a little bit. I can't read the equation in part c and in part a you need to use the ...
proof10/16/2009
  Q: could you plz give me a hint about the problem below: Use induction on the size of S to show that ...
  A: Bita~ You are looking at the characteristic of the set and namely that characteristic is the ...
A couple questions10/16/2009
  Q: I have been having trouble with some probability questions and I was hoping you could help me out. ...
  A: Let me see if I can help you reason this problem out. If there were 2 kings in a deck of 10 cards ...
calculus: limits10/15/2009
  Q: I'm having trouble solving this problem (see attach image). I know you can't use the direct ...
  A: Use L'Hospital's Rule for indeterminate forms: if lim(x->a) [f(x)/g(x)] = 0/0 this is an ...
Abstract Algebra10/15/2009
  Q: prove that if p and q are distinct primes, then there exist integer m and n such that p*m + q*n = 1
  A: The Euclidean algorithm finds for any integers a and b their greatest common divisor, d, i.e., ...
mathematics10/14/2009
  Q: 1+tan^2 _______ 1-tan^2 ANSWER: What is it you want done with this Fasha? Usually instructions ...
  A: Fasha~ To verify you need to simplify both sides until you have the same expression on both ...
Pre-cal10/14/2009
  Q: I am having a problem figuring out out to solve this problem the question is: Find the equivalent ...
  A: Is the problem (cscx/cscx)-cotx or cscx/(csc-cotx)? I am going to assume the 2nd. So proceed as ...
mathematics10/13/2009
  Q: 1+tan^2 _______ 1-tan^2
  A: Fasha I made an error that needs to be corrected so please bear with me and I will fix it for us: ...
linear equations10/12/2009
  Q: "The manager of a fish store has water that is 10% salt and water that is 25% salt. He needs to fill ...
  A: This problem can be solved by using a table to organize the info: let x = # gal of 10% salt water ...
Math 20310/11/2009
  Q: #1 Given: Y=3x^4+2x^3+4 at P(X,Y) let Q be another point on the curve. #2 Differentiate:A: ...
  A: Let me see what I can answer for you here. The questions are still not clear although I see what you ...
Algebra10/11/2009
  Q: Simplify the expression: 4/x^2 + 2/(x^2+x) Give your answer in the form of f(x)/g(x). For this ...
  A: Sue~ The common denominator is x^2(x+1) and the first term needs to be multiplied top and ...
Math 20310/10/2009
  Q: #1 Given: Y=3x^4+2x^3+4 at P(X,Y) let Q be another point on the curve. #2 Differentiate:A: ...
  A: Taneen, there is no question for #1. For #2 A just differentiate each term but put the variables on ...
Advanced composition of functions10/9/2009
  Q: I'm using this computer system called ALEKS, and one topic is frustrating me to no end. As you see, ...
  A: Basically (fog)(x)=f(g(x)) which means that the domain will be the range of g(x).Think of it this ...
Percent Equation10/7/2009
  Q: I need the definition of Percent equation and Compound Interest. I also need to find the terms to ...
  A: I don't know which formulas your text has there are many equivalent formulas. The terminology is ...
pre-calc10/6/2009
  Q: how would you simplify this expression tanx(cscx-cotx)
  A: I usually tell my students to replace each term or factor with equivalent sines and cosines and see ...
calculus-differentiation rules10/4/2009
  Q: Sherry, Here is an exact copy/paste of my actual problem. Let me know if you can help me with this. ...
  A: Ok the tangent line at any point has slope f'(x). (This is one interpretation of the first ...
math10/3/2009
  Q: |a|>=a and |a|>=-a if a>=0 then |a|=a if a<0 then |a|=-a>a a belongs to R then |a|>=-a ...
  A: line 1 if a>=0 then |a|=a line 2 if a<0 then |a|=-a>a line 3 a belongs to R then |a|>=-a ...
matrixes9/30/2009
  Q: Apply understanding of matrix multiplication A toy company in Seattle makes stuffed toys, including ...
  A: The numbers in your matrix are in minutes, and how would you convert those minutes to hours? You ...
math9/29/2009
  Q: For every real number ε > 0, there exists a natural number n_0 such that for all n > n_0, |xn ...
  A: Pratap~ n_0 is a natural number which means it is a counting number and in this case it is ...
Algebra II9/29/2009
  Q: How do you do: 5th root of 64x^6y^5z^12
  A: The 5th root means you need to take every factor to the 1/5 power. So you have as factors ...
Word problem9/28/2009
  Q: I have asked a few experts so far, no one has been able to help. Hoping to have more luck with you. ...
  A: John~ I can help you out a bit but bear in mind that I haven't studied this in over 20 years... ...
math9/26/2009
  Q: This is question from absolute value properties Question |a|>= and |a|>=-a Proof: if a>=0 then ...
  A: First you need to be careful when you type in the problem because this 'a|>= and |a|>=-a' doesn't ...
Calculus9/25/2009
  Q: Differentiate the function f(x)=2cos^5 3x+xlnx
  A: Let u = 3x so you have 2cos^5u +xlnx Let's take the derivative of each term since the derivative of ...
Percentages9/24/2009
  Q: (A) 5% X $2000 = $100 (B) 2% X $1000 = $20 This is a total return or average of $120/$3000 = 4% ...
  A: Kenneth~ You want to figure out how much money needs to be put in account A at 5% return and how ...
Input Output Tables- How to write a rule9/23/2009
  Q: I need to write a rule for this. input, x 10,11,12,13 and output, y 3,4,5,6,. I'm not sure how to do ...
  A: What is the change in y? What is the change in x? What is the slope of a line? The change in y over ...
differentiation and integration9/22/2009
  Q: Question1 A projectile is launched at an angle from the horizontal. if air resistance is neglected ...
  A: Lorato~ First let me tell you some standards for writing what you wrote that might make your ...
Function Tables9/22/2009
  Q: I am trying to figure out how to express the rules for two different function tables. In the first, ...
  A: RDC~ Here is a detailed solution to the first problem. Write the function as a set of ordered ...
Graphing an Equation?9/21/2009
  Q: I need help with the STEPS (preferrably very detailed steps) on graphing the following equation (and ...
  A: Any time a number (term) is moved from one side of an equation to the other it changes the sign. For ...
Differentiating, Integrating & Minimum/Maximum9/21/2009
  Q: Here are 4 more questions (you just answered one on graphing an equation for me!) I need ...
  A: Question #2: Given: E(a, be, c, d) = ac^2 + cb^2 + cb2 + 5d + 5a. Partially differentiate to find: ...
Graphing an Equation?9/21/2009
  Q: I need help with the STEPS (preferrably very detailed steps) on graphing the following equation (and ...
  A: The first thing you need to notice is that there are only two variables and they have just the first ...
solving absolute value inequalities9/20/2009
  Q: how do i solve the following problem: /x+3/-2<1
  A: First get the absolute value by itself on one side of the equation: |x+3| < 3 Now use the rule ...
polynomial & end behavior9/18/2009
  Q: without graphing,m describe the end behavior of the graph of the functions: f(x) = 3x^3 g(x) = ...
  A: These questions can be analyzed simply: for f(x) when x gets large what happens to x^3? It gets ...
simultaneous equation9/18/2009
  Q: Leo is twice older than Martin and three times than Mike, if the sum of their ages is 33, what is ...
  A: There are probably a gazillion ways to solve this problem but my first attempt doesn't even use ...
I need help.9/17/2009
  Q: I'm in College Algebra, it's exactly the same thing as Pre-Calculus. There are two questions that I ...
  A: Amber~ 1) First things first, you need to define your variable. You've used x. Define it to be the ...
Algebra ll (sytem of equations with three variables)9/16/2009
  Q: How do i solve sytem of equations with three variables? x+5y+6z= -10 ...
  A: Mikey~ There are a number of ways and not knowing what level of math you have taken I will use ...
literal equations9/15/2009
  Q: how do you answer these 3 questions E - F = G, for F -wr= a, for w tu= v + w, for u
  A: Joshua~ Literal just means solve for the named letter. E-F = G, just subtract E from both ...
Definition of a limit9/12/2009
  Q: I am wanting to know if the definition of a limit below normally used is the best definition of a ...
  A: |f(x) − L| < ε means -ε < f(x) − L < ε which just means the the ...
trigonmetry9/11/2009
  Q: prove that (sinA.sin2A+sin3A.sinA6A)/(sinA.cos2A+sin3A.cos6A)=5tanA ...
  A: Pratap~ You can't multiply the top of a fraction by 2 and not multiply the bottom by 2 also. ...
math9/10/2009
  Q: prove that (sinA.sin2A+sin3A.sinA6A)/(sinA.cos2A+sin3A.cos6A)=5tanA ...
  A: Pratap, I think you meant to say: (sinA.sin2A+sin3A.sin6A)/(sinA.cos2A+sin3A.cos6A).The first line ...
Algebra-Solving Problem9/9/2009
  Q: Find three consecutive integers such that twice the least integer is 12 more than the greatest ...
  A: Consecutive integers are 'next' to each other so if you let the first one be x then the next is x+1 ...
Percentages & Interest9/7/2009
  Q: At simple interest, an investor divides $1000.00 into two accounts -- one account of $200 earning ...
  A: Ok Kenneth this makes a bit more sense! Your teacher wants a non-algebraic solution. There is always ...
Percentages & Interest9/7/2009
  Q: At simple interest, an investor divides $1000.00 into two accounts -- one account of $200 earning ...
  A: Kenneth there are at least a couple of solutions to this problem. The one obvious (to me) is to earn ...
pre-calculus9/6/2009
  Q: How would i write the equations of the parabolas with the following conditions: a. with ...
  A: Sorry Miranda for a late response. I wrote a solution and it went to website heaven...Here I will ...
simultaneous equations9/6/2009
  Q: Sam has been saving 10 cent coins and 20 cent coins in a jar. When he takes the jar to the bank, he ...
  A: We don't have any 20 cent coins here in the U.S., do you in Australia? Let's pretend that there is ...
math9/5/2009
  Q: sin(2A)=2sinA cosA =(2sinA cos^2A)/cosA =2tanA/sec^2A =2tanA/1+tan^2A please explain it.
  A: The 2nd line multiplies the top and bottom of the right hand side of the first line by cos A: [2sinA ...
Word problem9/3/2009
  Q: Candy worth $1.25 a pound was mixed with candy worth $1.50 a pound to produce a mixture worth $1.35 ...
  A: Make a table of the information and decide what your variable is going to be and what it is going to ...
Precalculus9/2/2009
  Q: Solve for the indicated variable (listed after the semicolon). Restrict all answers to the interval ...
  A: The first one is the difference of sin(x-y), so essentially you are looking for the value of x-y so ...
math9/1/2009
  Q: please prove that cos(-x)=cosx
  A: The cosine is an even function which means that any time (x,y) is on the graph (-x,y) is also on the ...
Long Division9/1/2009
  Q: ) I hope this is no bother to you but I'm getting ready to go into college and today I realized that ...
  A: This will be difficult to show you in a type set environment but I will try: In your problem you ...
hi8/30/2009
  Q: how would you do this problem: (1/4) - (1/2) ÷ (1/3) can you show me step by step please? ANSWER: ...
  A: Raymond, I can see how you are confused. Do not always second guess yourself! The back of the book ...
differentials8/30/2009
  Q: show that if z=x^nf(u) where u=y/x then: x(dz/dx)+y(dz/dy)=nz verify this result for ...
  A: Olivia~ In order to conclude that x(dz/dx) + y(dz/dy) = nz you must satisfy the hypothesis ...
Pre-Cal8/30/2009
  Q: Suppose a = cos(20). Find the following in terms of 'a': 1) sin(20) 2) cos(70) I'm having trouble ...
  A: Sue Lee~ The sine of an angle and the cosine of an angle are related. I like to think of them ...
hi8/29/2009
  Q: how would you do this problem: (1/4) - (1/2) ÷ (1/3) can you show me step by step please?
  A: Raymond, there are two things going on here. One is an order of operations that must be followed and ...
differentials8/29/2009
  Q: show that if z=x^nf(u) where u=y/x then: x(dz/dx)+y(dz/dy)=nz verify this result for ...
  A: First verify that the z you have fits the criteria, that is, is z a function of x and y? It is so ...
math8/28/2009
  Q: HO DO YOU DO THIS PROBLEM 2x+2y=14
  A: Cody~ You first need to know what they asked you to do. From where I stand it 'looks' like they ...
College Trig8/27/2009
  Q: Find the standard form for the equation of a circle with a diameter with ends points (-10. -6) and ...
  A: Jonathan~ To write the standard form of the equation of a circle you will need the radius and ...
Word Problem8/26/2009
  Q: I've tried to answer this problem over and over again, but I can't seem to come that close. Here it ...
  A: Molly~ You have 10 sprinters, so how many of the 10 can attain 3rd place? (hopefully you say ...
pre-calc (review for calculus)8/25/2009
  Q: Fractions involving 3 parts (2 I can do). Solve equation for a x + y + z = 1 - - - a ...
  A: Ray~ Multiply both sides by a and you will get: x +(ay/b) + (az/c) = a. Now subtract (ay/b) and ...
trigonometry8/24/2009
  Q: express csc 30 degrees sin(180degrees-theta)sin(270degrees-theta)sin 3pi/2 as a single function of ...
  A: Kimberly~ I assume this is multiplication. The csc of 30 degrees is 1/sin 30 degrees and the sin ...
College Calculus8/23/2009
  Q: Business- Markup policy. A clothing store sells a shirt costing $20 for $33 and a jacket costing ...
  A: Joy this is an elementary algebra problem. You are given two sets of points, with the retail price ...
Circle & string8/21/2009
  Q: I work in electronics manufacturing and we have a huge inventory of electronic components. Every ...
  A: I can help you think through this problem. If the empty reel is 50mm and you add one winding then ...
Pre-cal question8/19/2009
  Q: a boat is sailing due east parallel to the shoreline at a speed of 10 miles per hour. At a given ...
  A: T~ Interesting how different people see things differently. I drew a different diagram and then ...
algebra help8/19/2009
  Q: can u help me solve this math problem: 3/4(13-(2+3)²
  A: I can help you but you need to make sure you have typed it in with the proper sets of parentheses. ...
Average diameter of sphere from average profile diameter8/18/2009
  Q: If you were to randomly cut through a sphere, what would be the average diameter of the circle ...
  A: Matt~ You have a sample that you want to estimate the population from. Your sample is the ...
Binomial8/17/2009
  Q: I)Express (2-x+8x^2)/((1-x)(1+2x)(2+x)) in partial fractions. II) Hence obtain the expansion of ...
  A: You did the partial fraction decomposition correctly... To use the binomial expansion expand one ...
Saving $8/15/2009
  Q: I am wanting to save money. I note that every morning I drink a coffee that costs $4 a day. $5 on ...
  A: Figure out how many Sat and Sun left in August and multiply that number by $5 and how many 'other' ...
math8/13/2009
  Q: find center and radius 36x^2 + 9y^2 - 36x + 12y - 307 = 0 ANSWER: CJ~ You need to complete ...
  A: CJ~ Your a^2 is 80/9 and your b^2 is 320/9. Since 320/9 is larger than 80/9 that means the ...
compound interest8/13/2009
  Q: How many years will it take to double your money if you deposit it into a fund paying 10% compounded ...
  A: zarak~ The amount A after t years due to a principal P invested at an annual interest rate r ...
math8/12/2009
  Q: find center and radius 36x^2 + 9y^2 - 36x + 12y - 307 = 0
  A: CJ~ You need to complete the square on both variables but the coefficients on the perfect ...
Help find the function?8/11/2009
  Q: I'm in 8th grade currently taking Algebra. I'm confused with this problem, when I try to solve it ...
  A: Isabella~ Can you make sure you have typed in the problem correctly please. What you have above ...
Binomial theorem8/8/2009
  Q: Can you give me a basic high school level explanation about what the Binomial theorem is and some ...
  A: A high school level explanation, hmmm... Well one thing that can be done is any binomial to an ...
High school math8/7/2009
  Q: I am an 11th grader who is going to the 12th grade. And the math content in my country is less ...
  A: Typically a 10th grader takes Geometry and an 11th grader takes Algebra 2 and then the 12th grader ...
college algebra8/7/2009
  Q: What is the center, foci, and asymptotes of the hyperbola x^2-y^2=18
  A: Samantha~ The center is (0,0) because there is no x or y term only squared terms. [The general ...
how to find three unknown variables in three simultaneous equations8/6/2009
  Q: -0.8x+0.3y+0.2z=0 0.5x-0.4y+0.3z=0 0.3x+0.1y-0.5z=0 where: x+y+z=1 how do i find the values of x, ...
  A: Jo Anne, there are a number of ways to find the solution to this system of equations. First I would ...
Algebra, two equations8/3/2009
  Q: Sherry, This is a question from my last math competition. I have the answer key to the questions, ...
  A: Ankai~ There are probably many ways to approach this but this is the way I would approach the ...
help me plz8/2/2009
  Q: USE dESCRATES RULE TO GIVE THE POSSIBLE COMBINATIONS OF POSITIVE,NEGATIVE,AND IMAGINARYZEROS OF THE ...
  A: Amy~ The first thing you need to do is understand the definition of Descartes Rule: The rule ...
math7/31/2009
  Q: question-> if x/y=6/5,find the value of x^2+y^2/x^2-y^2 aneswar-> x^2+(y^2/x^2)-y^2 = (x^2/y^2 + ...
  A: Pratap. this is very hard for me to explain because the question is not asked correctly. I know you ...
Inverse of a Matrix.7/30/2009
  Q: this is probably the longest question you have been ever asked..but please bear with me here Find ...
  A: no it isn't right unless there is no solution because you have arrived at 0*x + 0*y = -2 and there ...
Math problem7/29/2009
  Q: I need help finding the factors and x intercepts of this equation: x3-1320x2+398351x I am tutoring ...
  A: there is one very visible factor: x since x(x^2-1320x+39835)is equivalent to what you began with. So ...
ap calculus7/28/2009
  Q: what is the range for the following greatest integer function: f(x)=[x] ANSWER: Bob~ All that ...
  A: Bob, I need to explain some more because you obviously do not understand the greatest integer ...
ap calculus7/28/2009
  Q: what is the range for the following greatest integer function: f(x)=[x]
  A: Bob~ All that is meant by range is if you were to graph the function, what values could y have? ...
On Complex numbers7/26/2009
  Q: the complex number w is given by w=-1/2 + i(3^1/2)/2. Find the modulus & argument of w. Thank you
  A: The modulus really is the hypotenuse of a right triangle of the complex number graphed on the x-y ...
Domain of a function7/26/2009
  Q: I'm confused how to do this with a sqrt. Can you walk me thru this please? f(x) = radical 4 ...
  A: Susan~ Any even root has to have the value under the radical greater than or equal to 0, i.e., ...
a calculus ab7/23/2009
  Q: solve for x: e^(2x) - 2e^(x+2) + 4e = 0 (hint: factor) ANSWER: Sabrina u substitution works nicely ...
  A: This makes the problem even easier yet since it is not necessary to use the quadratic formula or to ...
a calculus ab7/23/2009
  Q: solve for x: e^(2x) - 2e^(x+2) + 4e = 0 (hint: factor)
  A: Sabrina u substitution works nicely for this one. Let u = e^x so your equation becomes u^2-(2e^2)u ...
abstract rate7/21/2009
  Q: A nurse knew that g gallons of milk would feed s infants for 12 days, but she had s+15 infants. How ...
  A: One way to view this problem is to set up a proportion. Let's look at the number of gallons of milk ...
Math (Algebra 2) Help7/20/2009
  Q: Wallin, Can you please help me with this problems? 1) 7x^2/9y divided by [4x]/[15y^2] times ...
  A: You are trying to take a fraction that is written vertically and type it horizontally which will ...
Math (Algebra 2) Help7/20/2009
  Q: Wallin, Can you please help me with this problems? 1) 7x^2/9y divided by [4x]/[15y^2] times ...
  A: Margaret~ First I need you to clearly state the problems. 1) the way it is written is saying ...
Trigonometry7/19/2009
  Q: Verify that cot(x+y) cot(x-y)=1-tan^2x tan^2y/tan^2x-tan^2y is an identity.
  A: Kenny~ cot(x+y)*cot(x-y) = [1/(tan(x+y)]*[1/(tan(x-y))] = 1/[(tanx + tany)/(1-tanxtany)]* ...
Logarithms7/19/2009
  Q: sherry wallin, i worked out this problem can u please check ? Write the following into single ...
  A: Sure can Raja~ I will number them 1-3 and explain how I went from 1-2 and 2-3: 1) = ...
Logarithms7/17/2009
  Q: sherry wallin, i worked out this problem can u please check ? Write the following into single ...
  A: One way to know if your answer is equivalent to the original is to substitute values into the ...
trigonometry7/16/2009
  Q: prove the trigonometric identities: 1- cot^2/1+cot^2 = sin^2-cos^2
  A: First you want to ALWAYS use an argument with your trig functions, else they are not defined. So ...
Calculus: Techniques of Integration7/15/2009
  Q: Use trignometric identities to simply the function and then integrate with respect to x i. sin^4 x ...
  A: It isn't necessary to use a trigonometric identity to integrate this problem. You can use a formula ...
Math theory/formula for averages7/13/2009
  Q: I am trying to discover if there is a math formula that already addresses my problem. Perhaps you ...
  A: Mark~ That won't work because the probabilities need to add up to 1. If you use .5x + 50 you ...
volume of washer in sq. in.7/11/2009
  Q: Item is 1.895 O.D. x 1.625 I.D. x .437 thk. What is volume? Answer needs to be in square inches.
  A: Alan, the answer will NEVER be in square units, you are talking VOLUME which is ALWAYS cubic units. ...
Math help7/9/2009
  Q: we have a team of 12, I am in NZ, we work 5 x working days. it is now 10th of July and the team ...
  A: Ok it is the same math. There are 15 days to obtain 560 - 172 = 388 stars with 12 men that means ...
Math help7/9/2009
  Q: we have a team of 12, I am in NZ, we work 5 x working days. it is now 10th of July and the team ...
  A: You have 15 working days left in the month of July (not including the 10th). I am assuming the team ...
permutation and combination7/8/2009
  Q: 1)A number cube(die) is rolled and a coin is tossed.Find the number of outcomes in which an even ...
  A: Shruti~ #1 the sample space is:1,H;1,T;2,H;2,T;3,H;3,T;4,H;4,T;5,H;5,T;6,H;6,T so there are 12 ...
Kinematics7/7/2009
  Q: A train travels from A to B,a distance of 20000m,taking 1000s.The journey has 3 stages.In the first ...
  A: Here is my reasoning, see if this makes sense to you: The distance traveled in the first leg of the ...
Similarity Problem7/6/2009
  Q: I've got a maths problem: Let ABC be a triangle. Two straight lines which are parallel to the side ...
  A: Your question is not clear to me. What do you mean by 'what parts is the side AB divided by the ...
permutation and combination7/5/2009
  Q: In a class comprising boys and girls, there were 45 handshakes amongst the girls and 105 handshakes ...
  A: I am going to use nCr to mean n things taken r at a time. If there were 45 handshakes among the ...
permutation and combination7/5/2009
  Q: 1)A hollow glass cylinder is filled with 10 different colored balls.If radius of the balls are ...
  A: Shruti~ I will do #2 for you: There are 5 different jobs and select any one job and assume that ...
Trignometry7/4/2009
  Q: How to show dy/dx=((sin2x)/(1-cos2x)) =cotx? Try already using cos2x & sin2x formulae but still ...
  A: Warm~ I think the question is written incorrectly because ((sin2x)/(1-cos2x)) = cotx. You ...
equation7/3/2009
  Q: 1) Kim bought a total of $2.65 worth of postage stamps in four denominations.If she bought an equal ...
  A: Let x be the number of 5 cent (.05x) and 25 cent stamps (.25x). Since Kim bought twice as many 10 ...
math7/3/2009
  Q: at work we have this reward system if the team achieves 560 stars as a whole they will get a team ...
  A: Tim~ One way to answer this question is to determine the number of work days in July. Looking ...
I really need help please help .7/2/2009
  Q: Translate the following problems into algebraic equations. Do NOT solve the equations; simply ...
  A: For #1 think of the problem as: let x = the thing you are being asked about 'what number' and 'is' ...
Trig7/1/2009
  Q: Hey I need some help on some questions and they are due tommorrow! How do you prove: (cosx + ...
  A: (cosx + cosy)^2 + (sinx + siny)^2 = 4cos^2(x-y/4) Start with one side and try to come up with the ...
calculus6/30/2009
  Q: Given ΔABC, find the area of the triangle to the nearest tenth of a unit. 1. a = 6 cm , b = ...
  A: I see this as algebra or trigonometry and this is how I would approach finding the areas of these ...
Hello6/29/2009
  Q: I need help with these. Can you please help? 1) Convert (10011110)^2 to a hexadecimal number 2) ...
  A: This is computer programming code but I can help you with this one. When you declare a variable in a ...
Cubic inch container dimension6/29/2009
  Q: Ive been trying to solve the following question. A cylinder is 11 inches long and contains 72 cubic ...
  A: Mr. T~ You need to know the formula for the volume of a right circular cylinder which is ...
Volume calculation6/26/2009
  Q: Wallin I want to make a mixing drum with a volumetric capacity of 9 cu.ft. I found that the formula ...
  A: yes of course I will explain how to change cubic feet into cubic inches. There is 12 x 12 x 12 cubic ...
math6/21/2009
  Q: the sum of three consecutive numbers is 105,find the numbers
  A: As with all word problems there is an unknown so there must be a variable. Let n = the first number ...
Hello6/18/2009
  Q: I need help with these. Can you please help? 1) Convert (10011110)^2 to a hexadecimal number 2) ...
  A: Andy I sent an explanation but it went to internet heaven. I will write one and attach it with a ...
Calculas6/17/2009
  Q: Find the equations for all the lines tangent to the graph of y = x3 – x that passes through the ...
  A: Attir~ I'm not sure what it is is you are trying to ask? I gave you the equations of the lines ...
Calculas6/16/2009
  Q: Find the equations for all the lines tangent to the graph of y = x3 – x that passes through the ...
  A: Attir, need some help with calculus! To find the tangent line you need to take the first derivative ...
Calculs6/16/2009
  Q: Find A, B, C, D such that the graph of f(x)= Ax^3 + Bx^2 + Cx + D is tangent to the line y = 3x -3 ...
  A: Attir~ This is not an easy problem since solving the system gets messy algebraically but the ...
Follow-up Question: Exponents6/15/2009
  Q: I want to thank you for your reply. I need to send this follow-up question to the one below ...
  A: I didn't put in those number(#) symbols in my calculation above FYI. Hmmm...as I said above the ...
Exponents6/14/2009
  Q: How is the following solution found for the following: (100^365/73)/5 or if typed as follows in ...
  A: The # sign represents the number of days in the year because there are not 365 days in each year ...
Exponents6/13/2009
  Q: How is the following solution found for the following: (100^365/73)/5 or if typed as follows in ...
  A: Kenneth~ There are a couple of ways to interpret a fractional exponent. The denominator is the ...
Exponents6/13/2009
  Q: How is the following solution found for the following: (100^365/73)/5 or if typed as follows in ...
  A: The two are NOT equivalent...what is equivalent to the first is: (100^365/(73*5)). Taking 100 to the ...
rule of function6/11/2009
  Q: I was on the right track but made a silly error. I tried your method to another problem, I tried ...
  A: Ok Sabrina~ This is just one of probably many ways to figure this problem out but its the way ...
finding a rule from a table6/11/2009
  Q: I'm in the 6th grade and I cannot find the rule from the follwing table. x=5, -5, 0, -1 y=25, 25, ...
  A: Look at the x values and the y values and see if you can find a pattern. I am going to write the ...
Algebra 2 help6/10/2009
  Q: I am having difficulties with some math problems and was wondering if you could help me. I would ...
  A: 1) -99<0 so the parabola opens down and has maximum 2) 4x^2-4x^2 = 4 is never true, i.e., 0 = 4 is ...
Algebra 2 help6/10/2009
  Q: I am having difficulties with some math problems and was wondering if you could help me. I would ...
  A: I'm not sure what your goal is. Were you looking for answers or ways to learn how to do these ...
math6/10/2009
  Q: The amount of wire on a spool is listed as 150m. How many pieces of wire 10ft long can you cut from ...
  A: well sure it requires two calculations. One is to convert from meters to ft and then find out how ...
math6/9/2009
  Q: If an object travels 400m in 253s, what is its speed in m/s? A.12.2m/s B.13.1m/s C.1.58m/s D.20m/s
  A: Anthony~ This is quite simply a problem where you need to know d = rt forwards and backwards. ...
Calculus6/6/2009
  Q: i am having finding the following questions really difficult and was wondering if you could please ...
  A: When you are told to find dy/dx that is just saying find the derivative of y with respect to x. It ...
HELP!6/6/2009
  Q: given that y = (cos^3x)/3 what is dy/dx?
  A: Kristin~ dy/dx is the first derivative of y with respect to x. The derivative of the cos x is ...
HELP!6/5/2009
  Q: 1. F(X) = 4SINX. THE MINIMUM VALUE OF F(X) is 2. if y=cosx/(1-sinx), then dy/dx = k/(1-sinx)
  A: Kristin~ Take the first derivative of F(x) and set it equal to 0 to find the max or min value. ...
Pre Calculus6/4/2009
  Q: I Need help establishing an identity: Sec-Cos/Sec+Cos = Sin^2/1+cos^2
  A: First we need to correct the notation. The trig functions are functions and that means they need to ...
pre-calculus6/3/2009
  Q: Find and simplify the difference of f f(x-h)-f(x)/h, h does not equal to zero. given f(x)= 1/8x. ...
  A: Ok. If that is what you meant then what you need to do is use parenthesis like this 1/(8x) otherwise ...
HELP!6/3/2009
  Q: if y = cosx-sinx then d^2y/dx is? Please help me it would mean alot!!! ANSWER: Hi Kristin Munroe~ ...
  A: Kristin~ You want to evaluate the integral from x = 0 to x = sqrt 2 on ...
pre-calculus6/3/2009
  Q: Find and simplify the difference of f f(x-h)-f(x)/h, h does not equal to zero. given f(x)= 1/8x. ...
  A: For f(x-h) everywhere there is an x you will put in x-h. that is what you meant by 1/8 x, you meant ...
calculus sum6/1/2009
  Q: Hey, I have another question for you if you get a chance. Approximate the sum of the series ...
  A: Janine~ You can look at the series as being the sum of [(-3/2)^n]/n! Note that n! grows faster ...
algebra 25/31/2009
  Q: how do you evaluate log(3)243 ANSWER: Hi Devin~ You are really looking for what power to raise ...
  A: Please feel free to ask new questions but don't do them as follow up questions because this question ...
Differentiation: Maxima and Minima5/31/2009
  Q: In a mathematical model of the growth of a sunflower head, it is assumed that a time, t, seed ...
  A: I think the problem is written incorrectly. I think the answer needs to be 2t -q-2(t^2-qt)^(1/2) ...
math5/30/2009
  Q: There are 220 barrels of cement in one shed and 510 barrels in another shed. How many barrels must ...
  A: B because you are removing x barrels from 510 in the 2nd shed and then that means you will have 220 ...
Continuity with integrals5/29/2009
  Q: Let F(x) = intergral (o,x) f(t) dt where f(x)= absolute value of (1-x) if absolute value of x is < ...
  A: F(x) is not differentiable at x = +-2 thus cannot be continuous at either point. Check the limits as ...
math5/29/2009
  Q: A,B,and C can finish a job in 6 days. If B and C work together, the job will take 9 days;if A and C ...
  A: Anthony, you really had to make me think about this one... :) Since A,B,and C can finish a job in 6 ...
Alg. 25/28/2009
  Q: 1. What is the length of the major axis of 7(x + 2)^2 + 2(y - 2)^2 = 49? 2. What is the center ...
  A: In order to do these problems you need to know what kind of equations each is. #1,2 are circles. The ...
math5/27/2009
  Q: Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. ...
  A: Good morning Anthony~ This is the kind of problem that lends well to putting the info into a ...
percentage5/27/2009
  Q: Of the votes cast on certain proposal, 80 more were in favour of the proposal than were against it. ...
  A: You need to determine the relationship between the quantities so you need to define some variables. ...
math5/26/2009
  Q: The difference between two numbers is 15. When twice the smaller number is subtracted from three ...
  A: I don't know if you have to solve this with one variable or two. I am going to assume you can only ...
equation5/22/2009
  Q: MyDetermine all monotonic functions f defiend on te set of realnumbrs, such that f(x)+2x=f(f(x)). I ...
  A: Hmmm...let f(x) = ax so that ax + 2x = f(ax) = a^2x. Now set all that equal to 0. a^2x - ax - 2x = 0 ...
math5/21/2009
  Q: (a^2+2)/b / (a + (2/a))=
  A: (a^2+2)/b / (a + (2/a))= (a^2+2)/b /([(a^2)+ 2]/a])= a/b rewrite (a^2+2)/b /([(a^2)+ 2]/a]) as ...
math5/20/2009
  Q: COuld you please check my answers: 3.) Describe the following graphs: The graph of -7 < 4x − ...
  A: Lisa~ 3 - The graph of -7 < 4x − 3 ≤ 7 has: open circle on -1 and a closed circle on ...
math5/20/2009
  Q: could you check my answers please, whatever is wrong can you tell me why and give me the right ...
  A: 1- domain is {-1, 0, 2, 3}; range is {0,3,4}; is not a function 4 - domain is {-2, 2, -1, 0, 1}; ...
arithmetic5/18/2009
  Q: If two digit integer M and N are positive and have same digits, but inreverse order, which of the ...
  A: I hope you aren't looking for an analytical answer to this problem because I can tell you the answer ...
math5/17/2009
  Q: Find the fraction equivalent to the fraction: ab/cx
  A: There are a gazillion fractions equivalent to the given fraction. Was there any other instructions ...
math5/17/2009
  Q: Find the lowest common multiple of 2x^4-2x^2y^2,4x^5+8x^4y+4x^3y^2,and 6x^2+6xy.
  A: Let's first look at how to find the (lcm) least common multiple of a set of numbers in a way that ...
applications of matrices5/15/2009
  Q: i was ordered to submit report on applications of matrices. can u please instruct me some websites ...
  A: Sirisha~ I need to know what level of math you are doing. There are many applications. You can ...
math5/14/2009
  Q: 3xSquared y(3xSquared y-6xySquared)= ANSWER: Hi Anthony~ I think what you want to find is ...
  A: Sorry Anthony I misread what you originally wrote even though I typed it the way you wrote it. Ok so ...
About Geometric Progression5/13/2009
  Q: Sir, I just read a solution of the following question. What is the sum of 1st n odd integers..? And ...
  A: Aniket~ Thank you for your patience. It still is not clear what you mean by 'solve it'? To ...
math5/13/2009
  Q: 3xSquared y(3xSquared y-6xySquared)=
  A: I think what you want to find is 3x^2y(3x^2y-6xy^2). Is this correct? There is nothing wrong ...
algebra5/13/2009
  Q: the tens' digit of a two-digit number is 3 more than the units digit. the number is 8 more than six ...
  A: A funny thing about our base 10 number system any number can be written times a power of 10 so for ...
Math5/12/2009
  Q: 1.) Use this equation for # 1 - 4. -5x^2 - 45x + 20 = 0 What is the value of a? answer: -5 2. ...
  A: Lisa~ Are you wanting the correct answers, the method or just to know if you are right or wrong? ...
alg 35/12/2009
  Q: this is my last time I will b doin this but I will need you in the summer but thanx for the past ...
  A: You need to graph each inequality with it's corresponding equation. Then choose a point and if it ...
alg 35/11/2009
  Q: but I need help with these im really lost Find the distance between the following coordinates 1. ...
  A: The formula for the distance between two points is: d(P1,P2)= sqrt[(x2-x1)^2 +(y2-y1)^2] I will do ...
About Geometric Progression5/11/2009
  Q: Sir, I just read a solution of the following question. What is the sum of 1st n odd integers..? And ...
  A: I think there is still a problem with what you gave me. In your difference table your third entry is ...
About Geometric Progression5/10/2009
  Q: Sir, I just read a solution of the following question. What is the sum of 1st n odd integers..? And ...
  A: Something is wrong with the data you were given. The first three odd integers is 1+3+5 = 9 not 10 ...
trigonometric graphs5/9/2009
  Q: I have to wirte an essay for pre-cal and i need some help. How are trigonometric graphs used in the ...
  A: The two most common trigonometric graphs that are used are the sine function and the cosine function ...
cubic quadratic5/6/2009
  Q: x^3+5x^2+2x=0
  A: Please post the question you need answered. I am going to assume you want to solve this equation. ...
calculus5/5/2009
  Q: 5.)Find the dimensions of the rectangle with the largest area inscribed inside the area bounded by y ...
  A: The area of a rectangle is 2xy. Eliminate y from 2xy by substituting y = 16-x^2 into 2xy. So 2xy = ...
alg 34/29/2009
  Q: Perform the indicated operation 1. 1/5y-1 times 125y^3 - 1/y-1 2. a^2 - 81/a+9 divide (a-9)^2 /9-a ...
  A: You are cheating your child if you are not allowing him/her to learn this the right way. 15) Let x ...
quadriatic word problem4/28/2009
  Q: One rocket has an initial velocity of 48 feet per second. The other has an initial velocity of 64 ...
  A: The equation you sent me is the standard quadratic equation for describing what an object on earth ...
alg 34/27/2009
  Q: 1. 4x + 3y = 12 2 2. y = ----x - 5 3 y + x = 3 3. 2x - 3y > -2 4. y < 3x - 1 ...
  A: Any equation which is solved for y such as 2,4, and 5 you can choose any value for x and then solve ...
RATIONAL EQUATION HELP4/23/2009
  Q: PLEASE SHOW HOW TO SOLVE THE FOLLOWING RATIONAL EQUATION: (6x)/(x+4)+(4)=(2x+2)/(x-1)
  A: The first thing you need to pay attention to is the domain of the rational expressions. On the left ...
Finding the peak of a curve4/22/2009
  Q: I am trying to produce a spreadsheet that will calculate to peak of a parabolic curve (convex up) ...
  A: Yes there is a way to use 4 points to generate the equation of a parabola, although it is not ...
subsets4/21/2009
  Q: 1. A 10-element set has ___ subsets. 2. Also, set A has 15 proper subsets. How many elements are ...
  A: Angie~ 2^10 subsets is the answer to 1. It is always 2^(# of elements in A) for the number of ...
Proving Trig identities4/20/2009
  Q: "all x's stand for theta (1+sinx)(1-sinx)(secx+1)(secx+1) [sinx-(sinx)(cosx)]/1-cosx ...
  A: Kate~ The problem is, there is no problem. If you were to say for example that you need to show ...
problem4/18/2009
  Q: 2. how many positive integers less than 1 000 000 have the sum of their digits equal to 19? 3. Let ...
  A: Carl~ A couple of quick thoughts about #2. How many ways can you get a sum of 19 with 3 digits? ...
prove or disprove/rational, irrational sums4/18/2009
  Q: I have a question that I am hoping you can help me with. My professor assigned me with a special ...
  A: You need to say that m/n and p/q are such that gcd(m,n) = 1 and gcd(p,q) = 1. This is so that you ...
Math4/17/2009
  Q: Pete Rossini has just graduated from college with honors. He has been offered four jobs with the ...
  A: Belinda~ What is the question you have? To calculate the amount for the first year by the week ...
logic... prerequisit to abstract algebra4/16/2009
  Q: help me for this some hard question about logic 1. A triangle has at least three sides. 2. A ...
  A: I think they are wanting you to assign truth values to these statements and then decide it they are ...
alg 34/15/2009
  Q: For the hyperbola 4y^2 - 9x^2 = 36 1. Which way does it open? 2. What are the coordinates of the ...
  A: 17 - [(4*sqrt2)^2]/16- (3^2)/9 = [16*2]/16 -9/9 = 32/16 - 1 = 2-1 = 1 thus 4 sqr root( 2, 3) is a ...
algebra 34/14/2009
  Q: Determine how the following parabolas open. Answer A if it opens to the right, B if it opens to the ...
  A: Any parabola with y = to something will open up if x is positive and down if x is negative. Likewise ...
limit definition of a derivative4/12/2009
  Q: I am trying to prove that (sin^2(x))' = 2sinxcosx. I substituted sin^2(x) into the formula ...
  A: The derivative of sin 2x is 2 cos 2x. The sin 2x is 2sinx cosx. In other words the sin of twice the ...
Math Formulas4/12/2009
  Q: My wife and I were watching a movie where a character was playing the role of a Mathematician. He ...
  A: A formula consists of variables and the variables represent some quantity that may or may not be ...
Angle of elevation4/10/2009
  Q: HOw do you find the angle of elevation only given two of the triangles side lengths but nothing ...
  A: It is unclear to me what you mean by 'only given two of the triangles side lengths'. Does this mean ...
graph name4/9/2009
  Q: I'm looking for the name of the graph formed by x cubed plus x squared. Does this shape have a ...
  A: I'm not sure about a name and I'm not sure what level of math you have had. You can use calculus to ...
Determinants4/7/2009
  Q: I'm a 25 year old computer science student. I'm not sure if linear algebra is considered abstract or ...
  A: Some thoughts: If you take any nxn matrix you can find it's determinant by using cofactors that are ...
verifying trig identitys4/6/2009
  Q: tan+(cos/1+sin)=sec plz solve this for me and send me the answer back asap
  A: Sean~ I will help you but you need to practice finding these relationships because it is ...
Business Calculus4/6/2009
  Q: I need to know how to find the curve sketching of f(x)=x^4-2x^3+x^2 f(x)=x+1/x+2 f(x)=x-1/x^2
  A: Might I assume you have to sketch by hand? There are a few standard graph techniques that I will ...
Standard deviation4/5/2009
  Q: Estimate the proportion of commuters whose travelling times are within 1 standard deviation of the ...
  A: Warm~ There are a number of ways to determine the standard deviation. You could calculate it by ...
Statistic-data representation4/5/2009
  Q: Grouping the data with classes 10-19,20-29,...,60-69,determine the frequencies for these classes & ...
  A: Warm~ In this case I believe they are hinting for you to use a histogram which is just a ...
inequality4/3/2009
  Q: Answear: Hi Grull~ Try this: since 0<a<1 and 0<b<1 we know that ab<1 and ab^(2/3)<ab<a likewise ...
  A: Sorry it has taken me a bit to get back to you. Let x^(2/3) be x*. Then try to assume that a is the ...
abundant numbers4/1/2009
  Q: Is zero an abundant number?
  A: Math Curious ? By definition "a positive number N is abundant if..." 0 is neither negative or ...
removal exam for summer exam3/31/2009
  Q: plss...answer this some question... if i dont answer this i just kick on my school for the first ...
  A: Here I will choose one to answer and explain for you: 3) The only singleton answer is when k = 0 ...
inequality3/29/2009
  Q: I've the following problem: x, y are positive numbers and x+y=1. How can i proof, this inequality ...
  A: I'm hoping you are in at least calculus. Take the derivative of f(x) = x(1-x)^(2/3): ...
confusion3/29/2009
  Q: 1- If I do postgraduates in mathematics , will I expose to " matlab " software on my studies of ...
  A: AOB~ I would say it is highly likely that doing master level mathematics will expose you to ...
Surjective mapping - not3/24/2009
  Q: Let S be an arbitrary non-empty set and let P(S) denote its power set. Prove by contradiction that ...
  A: Steve~ Yes, assume there is a surjective mapping f from S --> P(S). By definition then every ...
Equivalence Relation question3/24/2009
  Q: What equivalence relation gives this partition P of the natural numbers? P ...
  A: Steve~ How about aRb iff a = b^n for n a natural number? Yes your assumption is correct that ...
parabola3/23/2009
  Q: Brand X wrist watches sells at a department store sell for $50 at a rate of 45 per month. The ...
  A: There are a number of ways to graph the function but start by locating the vertex and then find the ...
what steps do you need to do?3/22/2009
  Q: if cos A=1/3, find cos 4A How would you solve this?
  A: There are probably several ways to conquer this question but here is just one way to do it: First ...
Algebra Question3/22/2009
  Q: I have a question on equivalence relations that I do not know how to start answering....can you help ...
  A: Steve~ To be an equivalence relation on a set S you must show that the relation is reflexive, ...
Algebra Question3/21/2009
  Q: For any sets A, B, C, D prove (A x B) U (C X D)= (A U C) x (B U D). I am not too sure where to ...
  A: you are right in your assumption. The next thing for you to decide is what an element in (A x B) U ...
solutions3/20/2009
  Q: For what value(s) of a does the system of equations (i) x^2 = y^2 (ii) (x - a)^2 + y^2 = 1 i cant ...
  A: Nickson~ Try plotting several points for x^2 = y^2. Let's see when x = 0, y = 0. When x = 1 ...
parabola3/20/2009
  Q: Brand X wrist watches sells at a department store sell for $50 at a rate of 45 per month. The ...
  A: You are given the factorization of the quadratic equation that models this problem. Geometrically ...
math3/19/2009
  Q: two bicycle riders covers a certain distance at the rate of 15km/hr and 16km/hr,one rider takes 16 ...
  A: The first rider is traveling slower and it takes him 16 minutes longer to travel the same distance ...
Fundamentals of Modern Math makes me cry..3/19/2009
  Q: I have to write an application problem using a Venn diagram with three different sets and describe ...
  A: It is not clear to me what your first question is. Are you asking me to describe A intersect B ...
Assignment3/18/2009
  Q: can you help me with my assignment... pls help me this is my assignment i only answer question ...
  A: Charise~ Hi I only have time to answer a couple of these before I go to work. 3) since the ...
math3/18/2009
  Q: two bicycle riders covers a certain distance at the rate of 15km/hr and 16km/hr,one rider takes 16 ...
  A: These problems use the relationship d = rt. Say rider 1 is going 15kmh and rider 2 is going 16kmh. ...
MATHS3/17/2009
  Q: Can you please calculate the dot product of each of the following pairs of vectors, and also state ...
  A: John~ The dot product is just a number and you can only multiple 'like terms', this means i's with ...
problem3/16/2009
  Q: find the exact value of tan pi/12 I do not know how to solve this problem so can you please solve ...
  A: Exact value means not a decimal approximation. The tan of any angle is the[sin of the angle]/[cos ...
Matrices3/16/2009
  Q: y-5x=0 3x-5y=2 is it concident or parallel or intersecting?
  A: Ashley~ What is it you want to know? Are you wanting to know what coincident means, parallel, ...
Mills & Decimals3/15/2009
  Q: I read the following in an old business mathematics textbook: "Express 13 mills as a decimal part ...
  A: Technically you could speak about decimal parts like that but it loses it's purpose. Percents mean x ...
pipe problems3/15/2009
  Q: A pipe can fill up the tank with the drain pipe open in 3 hours. If the pipe runs with the drain ...
  A: Lawrence~ Hi. I hope you like fractions because these problems are best done with ratios. If a ...
Mills & Decimals3/14/2009
  Q: I read the following in an old business mathematics textbook: "Express 13 mills as a decimal part ...
  A: Anything positive and smaller than $1.00 can be thought of as a decimal part of $1.00. Decimal part ...
Algebra question3/13/2009
  Q: The circumference of a circular plot of land is increased by 10%. What is the best estimate of the ...
  A: keane~ I am guessing you would like to know why that is the answer or perhaps you just want it ...
Mills & Decimals3/13/2009
  Q: I read the following in an old business mathematics textbook: "Express 13 mills as a decimal part ...
  A: Kenneth~ "as a decimal part of $1.00" means the mills divided by $1.00. Remember every dollar ...
arithmetic3/11/2009
  Q: how can i find the lcm of 3 20 and 15 i have been stuck on this for about 20 min now
  A: lindzye~ There are lots of methods but probably the easiset is to multiply each by 1, then 2, ...
matrices3/10/2009
  Q: what is a linear matrices and how to calculate it
  A: ELMASTA MANICUS~ A linear matrix is an array of numbers that represents linear equations. Do ...
Need help with this Algebra problem...3/9/2009
  Q: I need help with this Algebra problem...I think the answer is 2, The weight is divided by 2, but I ...
  A: Bee~ "y varies inversely as x or y is inversely proportional to x" can be translated into y = ...
Demand functions3/9/2009
  Q: Given a demand function of the form 0.1Q-10+0.2P+0.02P2=0 calculate price elasticity of demand when ...
  A: I think this an economic or business question, probably better served in those areas but let me give ...
math3/7/2009
  Q: A 110 meter long train is moving at a rate of 60Km/hr.in what timeit will cross the man who is ...
  A: This is a distance = rate*time problem. Build a table with each represented: rate time ...
math3/5/2009
  Q: 3x^-2y^5z^3
  A: Briana~ You should use parentheses when typing in math and it is unclear. Also you should state ...
algerbra3/4/2009
  Q: i am in a jam here. i am just now learning about functions and the input and output but one problem ...
  A: Are you suppose to write the function that relates the input to the output? By listing 2 rows of ...
math3/3/2009
  Q: A father had three sons.they were born at the interval of 3 years .the total age of of three sons is ...
  A: Pratap~ Sorry it took me a bit to answer, I have been very busy and this got lost in my emails. ...
math3/2/2009
  Q: if a train cross a pole in 10 second and cross a 150 mtr length Platform in 20 second.then findout ...
  A: The length of the train can be found using ratios. Compare the length of the train to the length of ...
valume and weight problem3/1/2009
  Q: Here is myImagine two spheres of metal, one nested concentrically inside the other. The outer sphere ...
  A: You really only have a problem where you calculate the volume of the outer sphere and then calculate ...
math2/28/2009
  Q: a man start walking straight towards east.After walking 75meter ,he turns to the left and walks 25 ...
  A: The best way to solve this problem is to see it in a picture. The answer is 35m but it is easier to ...
Word Problems and Triangles2/27/2009
  Q: 1. Many of the amenities at a local ski hill are run using gas generators. To transport gasoline to ...
  A: Hmmm...which one would you like to see worked and explained? The purpose of this site is to help you ...
graph lines, standard form2/25/2009
  Q: what is the line graph for 2x-y=6?
  A: There's a number of ways to answer this question. I am going to assume you are new to this idea ...
Completing the square2/23/2009
  Q: 2x-7x-15=0 how to solve step by step
  A: There are several methods to completing the square but since you are asking I am going to assume ...
Work2/19/2009
  Q: Find the average value of f(x) = cos²x on the interval [0, pi/2] ANSWER: Hi Tyson~ One ...
  A: This sounds like a Physics problem. Work can be defined as the dot product of the force and the ...
Average Value of a function2/19/2009
  Q: Find the average value of f(x) = cos²x on the interval [0, pi/2]
  A: One definition of the average value of a function is: 1/(b-a)int(b to a)f(x) dx, so this translates ...
math2/18/2009
  Q: If 13 = 13w/(1-w) ,then (2w)2 = A.1/4 B.1/2 C.1 D.2 Ans.C please explain the avobe problemm
  A: I wish I could explain the above problem except I don't happen to agree with the answer you gave. In ...
math2/18/2009
  Q: If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3 ...
  A: I like to think of the relationship x ^ y = 2x + y as being 2 times the first plus the 2nd. So in ...
proove that for sets A, B, C, and D the following is true2/16/2009
  Q: (A x B)intersect(B x C) = (A intersect C)x(B intersect D) i don't know where to start, all i know ...
  A: Hey Dave~ I think you have written the problem wrong. Correct me if I am wrong but I think you ...
summation2/15/2009
  Q: Evaluate: Σ[log k] over all k where k is a factor of 1 000 000 000 000 except 1 and 1 000 ...
  A: Hey Lawrence~ I will make a few comments that might be helpful: The greatest integer function ...
Percentages2/13/2009
  Q: To change a number to a percent, move the decimal two places to the right and add a percent sign. ...
  A: The rules for percentages remain the same no matter what unit of measure is attached to the number. ...
engineering mathematics2/13/2009
  Q: (i) Fine dy/dx,if f(x)=xlnx (ii) If x= n/rln(1/r),find the value of r for which x will be maximum
  A: For i) just use the product rule for derivatives. When asked to find dy/dx it is the same thing as ...
Slopes2/8/2009
  Q: Given the slope of the line, find the equation for each line. a) A line of slope 4 passing through ...
  A: You must be in a basic elementary algebra course. There are a few well known formulas that can help ...
Finding the sum in each part.2/7/2009
  Q: I'm in a college math class called Fundamentals of Modern Math- whatever that's suppose to mean, ...
  A: Study the pattern given. The first is 4 or 4/1 or even 4/(3^0). the second number is 4/(3^1). The ...
Investment2/7/2009
  Q: $5,000 is contributed each year for 40 years and makes an annual return of 8% on the investment. ...
  A: Are you asking me to give you a formula to find this or how do you figure out the formula to answer ...
Algebra2/6/2009
  Q: What are the Real Zeros in these functions: 9x^2-6x-4 16x^2-31+13 x^2-18x+74
  A: What level of Algebra are you in? It would be helpful to know so that I can address this ...
mathematics2/5/2009
  Q: what is the formula to find the orthocentre of a triangle when 3 of its vertices are given
  A: I'm not aware of any direct 'formula' for finding the orthocenter of a triangle given only the ...
Identities2/4/2009
  Q: how do i express i = 100sin(θ) + 150sin(θ + Π/3) as Rsin(θ ± α) and ...
  A: There is a set of parenthesis around (sin(x)*1/2 + cos(x)*sqrt(3)/2) so distribute the 150 150 ...
math2/3/2009
  Q: Equality of complex number > two complex numbers z_1=a+ib and z_2=c+id are said > to be equal ...
  A: Pratap~ I will help you answer this. It is unclear what the numbers in a,b,c, and d ...
3 unknowns??1/31/2009
  Q: I have a question which i don't really know how to categorise, I just know that it's hard for me. ...
  A: how's your day going? Mine is fine. Remember a point is just an ordered pair (x,y), the first ...
statement problem - mba1/30/2009
  Q: can u please help solve this problem showing in detail the calculation Kleen Karpet cleaned 65 rugs ...
  A: This sounds like an economic question with some math involved. I googled what the definition of ...
Identities1/29/2009
  Q: how do i express i = 100sin(θ) + 150sin(θ + Π/3) as Rsin(θ ± α) and ...
  A: You want to express this as R*sin(x+y), i.e., as a single sine wave rather than as a sum of two of ...
math1/28/2009
  Q: Equality of complex number > two complex numbers z_1=a+ib and z_2=c+id are said > to be equal ...
  A: Ok Pratap~ I will give it a shot: (->) Assume a + bi = c + di. Then a-c = di-bi = (d-b)i. ...
dimensional analysis1/27/2009
  Q: hi i did you to show me how to get feet to miles
  A: It would help if I was given a particular problem but here I can make one up. Let's change 2,640 ...
finance math problem1/26/2009
  Q: im having trouble with a question ive tried it but im not sure if i did it right.Can you please ...
  A: To get the sum of all the payments just multiply the payment by the number of months you are going ...
finance math problem1/25/2009
  Q: im having trouble with a question ive tried it but im not sure if i did it right.Can you please ...
  A: I see you've asked me to check your answers but the questions are the sums and monthly payments and ...
Modelling movment speed and direction of animals1/24/2009
  Q: I wonder if you cn help with this: Imaging the movement of a particle in x,y coordinate system, ...
  A: I am not sure what your math background is but it seems you have some trig background. You can write ...
Developing skill in proof independently1/24/2009
  Q: I'm a young woman studying Honours Math, but originally was focussed in Biology in high school. I ...
  A: Wow Claire, I commend you for your well thought out and clear prose. I also admire your drive to ...
Sale Price1/24/2009
  Q: I saw a furniture store commercial in which the salesman indicated that the furniture was on sale at ...
  A: Everything you said perfectly. For $.59 on the dollar is exactly for every $ in cost you will only ...
Iterative methods1/23/2009
  Q: I'm stuck and i dont understand & how to apply the formula. Can you explain more about this topics & ...
  A: Ok here is the answer I came up with. You will need to be careful about your notation since ...
math1/23/2009
  Q: sherry please tell me what is composite function?
  A: A composite function is a function applied to a function. The most simple composite function is when ...
Developing skill in proof independently1/23/2009
  Q: I'm a young woman studying Honours Math, but originally was focussed in Biology in high school. I ...
  A: A good beginning is to learn the basic rules of logic usually found in a symbolic logic course. It ...
College Algebra help1/22/2009
  Q: Determine the Difference Quotient where: DQ=[g(x)-g(9)]/x-9 when: g(x)=(4/3)x-9
  A: I'm not certain what you mean by difference quotient. Is that what DQ is and if so is DQ ...
Algebra 21/22/2009
  Q: I just started my 2nd semester of my online school and I am already having trouble with this part of ...
  A: You can not take the even root of any negative number. This means you cannot take the square (2nd) ...
math question - maximum area of a triangle1/22/2009
  Q: two sides of a triangle are 5 and 11. What length for the third side will maximize the area of the ...
  A: After careful thought and consideration I think I have a solution method that does not require ...
Modelling movment speed and direction of animals1/21/2009
  Q: I wonder if you cn help with this: Imaging the movement of a particle in x,y coordinate system, ...
  A: I have a few ideas for you. First the tanx = sinx/cosx and the only times cosx is 0 is when x = ...
Integration problem1/20/2009
  Q: How to Integrate this ((x)/(x+2)^3) by parts. Much appreciated ANSWER: Hi Qi~ Is there some ...
  A: multiplying by (x+2)2/(x+2)^2 is just 1 and I chose it because I had ...
Integration problem1/19/2009
  Q: How to Integrate this ((x)/(x+2)^3) by parts. Much appreciated
  A: Is there some reason (like in the problem statement or required as an instruction by your teacher or ...
College Math1/19/2009
  Q: Good Morning Sherry, This is a homework question and I would appreciate any feedback as to whether ...
  A: The problem is done exactly right, I see no errors. I do have an observation though. You have marked ...
function in math1/19/2009
  Q: sherry please teach me the surjective,injective,bijective function .please teach me
  A: Pratap~ I will try to explain these terms in simpler but less elegant mathematical vocabulary. ...
Amount1/18/2009
  Q: A one inch rainfall goes on a 1000 square feet roof and the water is collected in rain barrels. ...
  A: Randy~ Volume or gallons are 3 dimensional and you have a two dimensional measurement and a one ...
complex number1/17/2009
  Q: Equality of complex number two complex numbers z_1=a+ib and z_2=c+id are said to be equal if and ...
  A: Just out of curiosity, where did this proof come from? I ask because it is fallacious (wrong). ...
Pre-calc word problem help1/17/2009
  Q: Here is the problem: J working alone can repair 2 sections of trail in r hrs. K working alone can ...
  A: I did the problem slightly different, however I do arrive at the same answer. J's rate is 1/3 job ...
proof question1/16/2009
  Q: I signed up for abstract algebra this semester but I did not do proofs in a long time so I need some ...
  A: ..if gcd(a,b) = d then d can be written as a linear combination of a and b. Let's say d=ax+by. If t ...
proof question1/16/2009
  Q: I signed up for abstract algebra this semester but I did not do proofs in a long time so I need some ...
  A: Sure I'd be happy to help you. You always want to establish the 'base' case, usually n = 0 or 1. By ...
Homework1/14/2009
  Q: (256/x^12)^ -3/4
  A: (256/x^12)^ -3/4 is the same as (256)^(-3/4)/(x^12)^(-3/4) Negative exponents need to be moved up ...
combinations1/13/2009
  Q: how to find the 5th term of (y/4 - 2/y)^7 ANSWER: Janine~ Are you are familiar with Pascal's ...
  A: It is not clear what you are asking. If you are asking about the coefficient of the 5th term then in ...
Proving Identities1/12/2009
  Q: How do you prove this statement? cosx/(secx-1)-cosx/tan^2x=cot^2x
  A: To prove this statement, take one side or the other and try to derive the remaining one. I chose to ...
combinations1/11/2009
  Q: how to find the 5th term of (y/4 - 2/y)^7
  A: Janine~ Are you are familiar with Pascal's Triangle? You can use that to try to figure out what ...
Vertical asymptote with trinomial1/10/2009
  Q: i am stuck on finding the vertical asymptote of 3/(27x^3-8). I understand that it factors to ...
  A: Daniel~ We refer to the product of the sum or difference of two cubes as having the quadratic ...
Functions.1/9/2009
  Q: 1. Let f be the function defined by f(x) = ln ((x+3)/(2x+1)) (a) Find the domain of this function ...
  A: The ln of a quotient is the differences of the ln so ln ((x+3)/(2x+1)).It looks like you know that ...
function1/8/2009
  Q: sherry how can i finf the largest domail and range of a function.please tell me. if ...
  A: pratap, is it the sqrt(16) -x^2 or sqrt(16-x^2)? When you talk about the domain and range there ...
function in math1/7/2009
  Q: let the function f:R→R be defined by f(x) =x^2+2.if A={x∊R:-2<x<-1},find f(A); please ...
  A: try putting in increasingly larger values for x and find out what you get for f(x) and remember f(x) ...
function in math1/7/2009
  Q: if f={(1,5),(2,7),(3,9),(4,11)} be a function defined by f(x)=ax+b,then find the values of a and b; ...
  A: Choose any two of the ordered pairs (points) and use the point slope form of a line to write f(x) = ...
function in math1/7/2009
  Q: sherry thanks for aneswaring my question if f(x)=2x^2-5x+4,then find the value of x for which ...
  A: Simply calculate 2*f(x) and f(2x) and set them equal to each other and solve for x to find the value ...
function in math1/6/2009
  Q: let the function f:R→R be defined by f(x) =x^2+2.if A={x∊R:-2<x<-1},find f(A); please ...
  A: A is the set of all real numbers between -2 and -1, i.e., (-2,-1) in interval notation. That means ...
Multivariable Algebra Systems of Equations1/4/2009
  Q: Heres the equations a = square root of (b + c) c = a^2 - e a = d - c e = d + c a = (d + e)/b ...
  A: This is in response to your question a = b^2, b = a - b: substitute a = b^2 into b = a-b getting b ...
function in math1/4/2009
  Q: Let f:R→R be definerd by f(x)=x^2 If A={x:-1≤x<1}=[-1,1) then A⊆R And ...
  A: I believe I answered this already but maybe it didn't get sent so here it is again: Since x^2 + 2 is ...
function in math1/3/2009
  Q: Let f:R→R be definerd by f(x)=x^2 If A={x:-1≤x<1}=[-1,1) then A⊆R And ...
  A: Let's give each statement a line number 1- Let f:R→R be definerd by f(x)=x^2 2- If ...
Calculus III1/3/2009
  Q: Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x^(2) + y^(2) = 9. maximum ...
  A: Miss Adel~ I think I have an easier way to solve this problem so I will try to explain to you ...
relation in math1/3/2009
  Q: Let A={1,2,3} . let R be a relation on A. Define R={(x,y)}є AXA:x|y} find R Soluction . ...
  A: A is the set containing the natural numbers 1,2, and 3. A relation is just a rule that operates on a ...
Calculus III1/2/2009
  Q: Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x^(2) + y^(2) = 9. maximum ...
  A: Miss Adel~ As I follow your process to solve for x I see nothing wrong until the step where you ...
absoulte value12/31/2008
  Q: |a|≥a and |a|≥a Proof if a≥0 then |a|=a If a<0 then |a|=-a>a aєR ...
  A: Ok Pratap~ About the statement (If a<0 then |a|=-a>a): If a < 0 then "a" is a negative number. ...
absoulte value12/29/2008
  Q: |a|≥a and |a|≥a Proof if a≥0 then |a|=a If a<0 then |a|=-a>a aєR ...
  A: Did you write this correctly? The first statement is repeated. In the first line of the proof it is ...
function in math12/24/2008
  Q: please tell me what is function?
  A: What is a function in math? A function is a relationship between two quantities that gives you one ...
Percentages & Interest Rates12/23/2008
  Q: Here is myAn investor has $30,000 to invest at simple interest, one portion at 2% and the other at ...
  A: It is still unclear why you would want to divide by 5%. Essentially you are going to be earning 2% ...
Percentages & Interest Rates12/18/2008
  Q: Here is myAn investor has $30,000 to invest at simple interest, one portion at 2% and the other at ...
  A: You can use algebra to find a "non-algebraic" way to your answer. Since you are earning an ...
relation math12/18/2008
  Q: A relation R on the set Z of integers given by R={(x,y):2|(x-y)} is an equvalance relation. ...
  A: There are three things you need to show in order to say something is an equivalence relation. The ...
Pre-Calc12/16/2008
  Q: Can you show me the step by step process for answering this question. ...
  A: The way to simplify the is problem is to find the common denominator. If you wanted to add 3/8 + 1/3 ...
Maths12/15/2008
  Q: 1)85%, 22%, 22%, 29% (does not equal to 100%) do i just do the normal average wok out where i add ...
  A: Percents in data do not have to add up to 100%. Suppose you have those values for tests grades, what ...
Need help for trig final12/15/2008
  Q: I have 2 questions on my review for my final that I am stumped on. 1. Verify the identity: (1/1-cos ...
  A: So you have r - sint = -7cost multiply everything by r getting r^2 -rsint = -7rcost recall y = ...
Math Question12/15/2008
  Q: Robert can mow the lawn in one hour less time than Ed. Together they can finish the job in 5 hours. ...
  A: This is a standard type work = rate*time problem, however it doesn't work out nicely. You are given ...
Math Question12/15/2008
  Q: Robert can mow the lawn in one hour less time than Ed. Together they can finish the job in 5 hours. ...
  A: Ozzie~ I just answered this question, are you Robert also? Regardless here is the answer I gave ...
Need help for trig final12/14/2008
  Q: I have 2 questions on my review for my final that I am stumped on. 1. Verify the identity: (1/1-cos ...
  A: Clarissa~ For the first question just find a common denominator for the left hand side and then ...
Improper Integrals12/14/2008
  Q: I am having trouble solving this problem: Find the p values for which 1/(x*ln^p(x)) is improperly ...
  A: Megan~ Hi. If you meant INT[dx/(x*(lnx)^p)] = -1/[(p-1)(lnx)^(p-1)], p not = 1, then you find ...
length of a parametric curve12/13/2008
  Q: x=(cos(t))^3 y=(sin(t))^3 what is the length of the parametric equation from 0 to pi? I am more ...
  A: Ok C. J. Here you are: If x = cos^3t then dx = 3cos^2t(-sin t) dt or dx/dt = 3cos^2t(-sin t) so ...
As-level maths12/13/2008
  Q: 1. Solve the inequality: 10 + x² > x(x – 2) 2. The fifth term of an arithmetic series is 14 and ...
  A: 1. Solve the inequality: 10 + x² > x(x – 2)expand right hand side 10 + x² > x²-2x subtract 10 from ...
Math12/11/2008
  Q: There are 300 tickets sold. The total revenue of 1336.00 Tickets cost $3 for students and $5 dollars ...
  A: The first thing you want to do is to write the linear equations that describe the conditions. There ...
Math Foundations Proofs12/11/2008
  Q: Prove that the non-zero element [a] of Z(integers)sub n, has a multiplicative inverse in ...
  A: Ok, let's make a stab at it: (-->) Suppose a,b != 0 in Z_n such that ab = 1 mod n then n|(ab-1) ...
Mathematical methods for science112/10/2008
  Q: 1. Determine the volume of the solid of revolution obtained when the curve F(x) =x2+5 Is rotation ...
  A: Please see additional info below: Hi Emer~ I am going to assume you mean by x2: x-squared. ...
logarithms12/10/2008
  Q: please help me find the sum/difference of log5[x2/y7] and log5 square root rs/9
  A: Hopefully we are communicating on what the problem is, this is what I think you meant: log (base 5) ...
Calculus double integrals with variable intervals12/8/2008
  Q: I know this shouldn't be that much harder than the double integral problems with fixed number ...
  A: This is a very "messy" problem, but let's try getting through it without making any careless ...
Solving functions to get domain12/8/2008
  Q: f(x)=4/(x^9-256x)
  A: I am going to assume you are looking for the domain of the function you gave. The domain is all ...
Inequality12/7/2008
  Q: The problem I was given was to solve for "x" algebraically when (x+5) divided by (x-3) is greater ...
  A: This is a problem with reasoning and math. What do you know about when a number (a rational number, ...
Logarithm12/7/2008
  Q: I am just a bit confuse about this problem, could you please assist.. Here is the problem: Write the ...
  A: First off this is a difference of two logs of the same base so you can write it as a quotient of the ...
Precalculus Questions12/6/2008
  Q: HELP! Two precalc problems, one of which I have an answer to that does not seem right. 1. Given the ...
  A: Next time show me how you worked the problem so I can tell you where you made your mistake. That is ...
calc12/6/2008
  Q: A newspaper is launching a new advertising campaign in order to increase the number of daily ...
  A: You are given an ordered pair (time, subscribers)= (t,s) and you are also given that you have 26,000 ...
Trigonometric Identities12/4/2008
  Q: I am having problems solving a few trigonometric identities. If you could help, I would really ...
  A: 1- sin^2(x)/(1-cos x) = (1-cos^2(x))/(1-cos x) (to see this just multiply top and bottom by ...
Math12/3/2008
  Q: I have a question that I've been stuck on for quiet awhile, I was hoping you could help me. I need ...
  A: I am assuming you are in elementary algebra by this question. Can I assume you are just earning ...
metric system12/2/2008
  Q: convert 36,960 ft. to miles.
  A: So you want to convert ft to miles. You need a conversion factor which is 5,280 per 1 mile which is ...
Please check my answer and 1 question12/1/2008
  Q: Rearrange the expression to make r the subject. my answer is s = 4 pi r^2 s/(4 pi) = r^2 ...
  A: Your answer could be simplified some more in part 1. When you take the sqrt you need to state that ...
algebra 3 word problems12/1/2008
  Q: Solve the following word problems by setting up and equation. Show all work. 1. Sara and Elizabeth ...
  A: I am going to start with #5 because it is a standard word problem in algebra using a system of ...
Calculus12/1/2008
  Q: Carla Music Company estimates that the marginal cost of manufacturing its professional series guitar ...
  A: To find the total cost, you need to integrate C prime which is given to you as .002x+ 100. Now they ...
Pre Calculus11/30/2008
  Q: Find the angle (* theta) between two non-vertical lines L1 and L2. The angle (*theta) satisfies the ...
  A: I am going to assume that the tan(theta) = |(m2-m1)/m2*m1| You say to assume m1m2 does not equal 1, ...
calculus11/30/2008
  Q: Consider the third-degree polynomial f(x)=ax^3+bx^2+cx+d, a≠0. Determine conditions for a, b, ...
  A: Bill~ To obtain a horizontal tangent you need to take the first derivative and find the ...
Integration11/29/2008
  Q: Can you help me with the "indefinite integration of the square root of cosine(x)"? I have tried ...
  A: What an interesting question, it has motivated me to find an answer to this myself. I do not have ...
LIMITS(CALCULUS)11/28/2008
  Q: Lim [sin(3x+a)-3sin(2x+a)+3sin(x+a)-sin(a)]/x^3 x->0
  A: First you want to rewrite sin(3x a) using the trig identity sin (a b) = sin a cos b cos a sin b ...
algebra 311/26/2008
  Q: Find the equation of the given line(in standard form) 1. The line that passes through the points ...
  A: All lines have a slope called "m" =(y2-y1)/(x2-x1)where (x1,y1) is one of the points and (x2,y2) is ...
Alternate Solution11/26/2008
  Q: A few days ago I asked how to determine the solution to the following by using a weighted average: ...
  A: There are actually a number of ways to obtain this information but not knowing what your mathematics ...
locus11/25/2008
  Q: hey..i really needed help with how to figure out the equation of a parabola if the focus and vertex ...
  A: y^2=4ax is the equation of a parabola with vertex at (0,0) and focus at (a,0). The directrix is ...
simplifying11/24/2008
  Q: simplify: a^-6 b^10 divided by 5c^7 d^-2
  A: I tell my students to think of the numerator as the attic and the denominator as the basement and ...
Application of Disk/Washer System11/24/2008
  Q: What are the real life applications of the disk/washer integration system to find volume in ...
  A: Here is one example and there are many more: A CAT scan produces equally spaced cross-sectional ...
Distance11/23/2008
  Q: A bullet is fired at a target 4400 feet away. At what point along the path is the impact of the ...
  A: try this: Let s be the distance from where the gun is shot along the line to the target. Calculate ...
sequences11/23/2008
  Q: Explain the sequence and what is the next number? 1,11,21,1211,111221.... this is on 6th grade ...
  A: * Find the next number in the following sequence: 1, 11, 21, 1211, 111221,.... This ...
Implicit differentiation11/21/2008
  Q: i'm stuck with this question, i'm not really understood this topic, i dont know when to apply this ...
  A: First you need to find the 2nd derivative y". By the way, it is called implicit differentiation ...
Weighted Averages11/20/2008
  Q: Can you solve the following by using a weighted average calculation? An investor has $30,000 to ...
  A: I tell my students to set up a table of values and to label the variable let x = amount invested at ...
About Implicit differentiation11/19/2008
  Q: i have tried and i'm stuck, i dont know what kind of formula 2 use anymore.. I dont know when to ...
  A: I can help you with part b since I believe that problem is correctly written. You are given 3x^2 ...
Weighted Averages11/19/2008
  Q: Can you solve the following by using a weighted average calculation? An investor has $30,000 to ...
  A: I'm not sure what you are wanting to know. Are you wanting to know if the problem can be solved ...
alg11/18/2008
  Q: Graph and give me the points for the following parabolas and hyperbolas. For parabolas, list the ...
  A: First off 2 and 4 are parabolas. Do you know what a parabola looks like? They look sort of like an ...
log11/18/2008
  Q: x=log(3) 27 How do I figure this out? Thanks!
  A: The base is 3. You might want to review the definition of a log but basically this translates into: ...
analysis ?11/18/2008
  Q: Prove that if f(x) = e^x, then (a) f(x) is strictly increasing for all x in R; (b) lim as x goes to ...
  A: Take the derivative of e^x and it is of course e^x > 0 for all x so e^x is strictly increasing. lim ...

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