| Subject | Date Asked |
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| describing level curves using polar coordinates. | 9/2/2008 |
Q: Prof; I need to use polar coordinates to describe the level curves of the function defined by ...
A: Polar form often helps one sketch and understand a complicated function. It is not all that obvious ...
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| finding the derivative | 7/24/2008 |
Q: i have summer calculas home work to do but i forgot how to do the the derivative part because we ...
A: The usual way to take the derivative of this would be via the quotient rule. Thus, a. ...
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| Calculus applications | 7/19/2008 |
Q: My questions appears at the very end of this writing, but I thought I’d give you first an idea ...
A: It is always satisfying to hear from people who develop an appreciation for or interest in ...
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| differentiation | 7/9/2008 |
Q: sir how can i find the derivative of x raise to the power 5/2 by definition method? actually this ...
A: Let f(x)=x^(5/2), thus: f'(x)=limit(h->0) [(x+h)^(5/2) - x^(5/2)]/h now multiply by [(x+h)^(5/2) + ...
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| Related Rates | 7/8/2008 |
Q: I am having a problem solving a related rates problem. The height of a rectangular box is 10 ...
A: Since h is constant, dh/dt=0 and no need to treat h as a variable. So, V=L*W*10 or V=10LW...now ...
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| derivitive & integral | 1/16/2008 |
Q: My calc professor said in the first day of class that there's a theory to tie calc 1 & 2 together. ...
A: That is pretty vague... I am not sure what he is talking about, as a "theory." I would say that the ...
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| analysis of functions | 1/8/2008 |
Q: use a half angle identity to find the exact value of cos 105 degrees
A: cos(x/2)=(+ or -)sqrt[(1+cos(x))/2] Thus, cos(105)=cos(210/2)=(+ or -)sqrt[(1+cos(210))/2) = (+ or ...
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| Cooling Rates | 1/5/2008 |
Q: One of Julius Sumner Millar's physics questions was: You have made a cup of coffee and the doorbell ...
A: Interesting question! Check these link for some answers. The first link "does the math," the ...
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| problem | 12/31/2007 |
Q: Let f(x)= êx-a ê+ a and g(x)= 5x +a where a is a positive constant, (a) Use algebra to find, in ...
A: OK, so you meant: f(x)=|x-a|+a, yes?? If so, then... a) f(x)=g(x) ==> |x-a|+a=5x+a ==> |x-a|=5x -- ...
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| AP calculus | 12/29/2007 |
Q: I'm having trouble with this problem. Find all extrema in the interval [0,2π] if y= x + sin x
A: First, y'=1+cos(x)...solving y'=0 gives: cos(x)=-1 Thus, x=pi, for x in [0,2pi], with y''=-sin(x), ...
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| AP Calculus | 12/28/2007 |
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: Looks like you are just giving me a list of your AP Calculus problems...yes? This will be the last ...
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| AP Calculus | 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: a. v(t)=integral[a(t) dt] = 2sin(2t)+C with v(0)=1 ==> C=1...thus, v(t)=2sin(2t)+1 b. ...
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| Integrals | 12/26/2007 |
Q: Let R be the region bounded by the parabola y=x-x^2 and the x-axis. Find the equation of the line ...
A: The parabola intersects the x-axis at x=0 and x=1. The area is integral(x-x^2,x=0..1)=1/6 Now we ...
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| double integral | 6/7/2007 |
Q: How do i calculate the double integral of dxdy/(x^2 + y^2 + a^2)^3/2 where the limits are ...
A: Wow, I just found this question of yours from the summer! I had "been on vacation" from AllExperts ...
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| Calculus | 5/31/2007 |
Q: 1- The radius r of a circle is increasing at a rate of 2 inches per minute. find the rate of change ...
A: 1. A=pi*r^2, so dA/dt = pi*2r*dr/dt - now substitute dr/dt=2 and r=6 or 24 2. V=(4/3)pi*r^3, so ...
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| Calculus | 5/29/2007 |
Q: 1- A ladder 25 feet long is leaning against the wall of aa house. The base of the ladder is pulle ...
A: 1. Let x=the distance the base of the ladder is from the bldg, and y=the height. Thus, x^2 + y^2 = ...
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| Calculus | 5/28/2007 |
Q: 1- A kite is 100 ft.high. There are 260ft. of string out and it is being paid out at the rate of 5 ...
A: 1. Using the Pythagorean Theorem: - let h be the length of the string, and x be the - horizontal ...
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| Calculus | 5/23/2007 |
Q: I want to know that which book should I refer to so as clear my concept in calculus...I want a book ...
A: There are so many available! Here are a few popular ones here in the US: Calculus, by Howard Anton ...
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| integral calculus | 1/5/2007 |
Q: how do civil engineers, physicists, electrical engineers, chemical engineers, and economists use ...
A: Depends on what they do...not being an engineer, physicist, or economist, I cannot speak about that. ...
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| calculus | 1/4/2007 |
Q: If x^2 + 3xy + y^2 = 1 and dy/dt=2 , find dx/dt when y=1. Is the answer dx/dt = 1/2?
A: Differentiating with respect to 't' gives: 2x(dx/dt) + 3x(dy/dt) + 3(dx/dt)y +2y(dy/dt)=0 Now ...
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| trig equation? | 1/2/2007 |
Q: Please help me!! X is between 0 degrees and 360 degrees (meaning show answer in degrees??) 3sin(x + ...
A: Now take the inverse sine (arcsin) to get x+20=-19.47 degrees (approximately This tells us the ...
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| trig. equation review questions | 1/1/2007 |
Q: I have two trig questions to ask. 13) solve for x between 0 and 2pi 2sin squared x = 2+ cos2x i ...
A: 13) First, convert sin^2 (x) to [1-cos(2x)]/2, to get: 2(1-cos(2x))/2 = 2 + cos(2x), which simplies ...
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| applications of derviatives | 12/28/2006 |
Q: A box with a square base is needed to package 100cm^3 of powdered milk. Find the dimensions of the ...
A: Let x = the height of the box and y = the length of one edge of the square base Thus, y*x^2=100 ==> ...
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| conversion | 12/25/2006 |
Q: How do you convert 20m/s to rad/s?
A: Is that 20 meters/second converted to radians/second? If so, then we need more info! rad/sec is an ...
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| Non-Continuous Functions | 8/9/2006 |
Q: What are the four times when a function is not continuous? I think one might be when there are ...
A: Let's see... 1. vertical asymptotes (caused by a "divsion by zero" 2. when there is an indeterminate ...
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| Volumes of Revolution | 8/6/2006 |
Q: I'm trying to find the ways to get these volumes using the washer and shell method. The region is ...
A: Washer Vethod: V=Integral(pi*(2^2-[y^(1/3)]^2),y=0..2^3) =Integral(pi*(4-y^(2/3)),y=0..8)=64pi/5 ...
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| Integration-calculus | 6/8/2006 |
Q: I have been doing some study for an upcoming test and i have got stuck on one to do with the area ...
A: Check these sites for some nice explanations and diagrams: ...
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| intermediate value theorem | 6/2/2006 |
Q: how to prove that equation cos x = x has at least one root using intermediate value theorem
A: The IVT states: If f is continuous on a closed interval [a,b], and c is any number between f(a) and ...
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| relationships | 5/24/2006 |
Q: this question shouldn't take up too much of your time. On a test, my teacher gave this question. ...
A: If water enters at a contant rate, then 1. at first, the height rises faster and faster, until -- ...
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| Word Problem | 5/22/2006 |
Q: I m in pre-calc, and I have a question about a word problem that is driving me up a wall. I know ...
A: Sorry to hear of your health problem...good luck! You left out some info, so I will assume certain ...
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| Series | 5/20/2006 |
Q: I am horrible at series. On my math final, it said to evaluate the intergral using Riemann sums 3 S ...
A: delta_x=3/n, so... The integral = lim(n->inf) SUM[{(3i/n)^2+2(3i/n)}(3/n), i=1..n] =lim(n->inf) ...
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| distance and velocity and acceleration | 1/9/2006 |
Q: I hope I'm finding you in the best of health. A particle starts at time t=0 and moves along the ...
A: I just realized I answered 'd' for the original x(t), not the one you gave in 'd'! So, with ...
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| vectors | 1/8/2006 |
Q: a wagon is pulled along level ground with a force of 18 N in the handle. if the handle makes an ...
A: Think of the 18 N force as the hypotenuse of a triangle. So we have a 30-60-90 right triangle. ...
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| pre-calculus-hons | 1/4/2006 |
Q: Is there a simple method to counting principles? thanks, sarj
A: Counting problems can be some of the most challenging mathematics problems, even though the methods ...
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| Simple calculus | 1/3/2006 |
Q: Working through Morris Kline's Calculus book. I enjoy mathematics but apparenly I don't have an ...
A: Let the constant rate of deceleration be -a. So, dv/dt=-a, thus v(t)=-at+vo, where vo=v(0), which in ...
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| related rates | 1/1/2006 |
Q: How do you solve this question? Bazooka joe is blowing a sperical bubble gum bubble. Let V be the ...
A: Let's differentiate w.r.t. to time 't': dV/dt=(4/3)PI*3*(R+T)^2*(dR/dt + dT/dt) - ...
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| calculus | 12/29/2005 |
Q: the illumination at a point is directly proportional to the intensity of the light source and ...
A: Sorry for my delay... Let x=the distance from source L1, thus s-x=the distance from source L2. The ...
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| calculus | 12/23/2005 |
Q: What does it mean to take a deravitive? I would also like to know if you have read The Road to ...
A: To "take a derivative" of a function, generally means to express the instantaneous rate of change, ...
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| hi | 9/17/2005 |
Q: Im a college student from so cali. i have a test on wednesday. im in business calc and i have ...
A: OK, we need to take the limit as h-->0 of [f(x+h)-f(x)]/h first let's do [f(x+h)-f(x)]/h, to get: ...
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| Hello | 9/16/2005 |
Q: My question isn't so much about how to do certain things in math, but rather how useful it is in ...
A: True, there are many successful (as measured by income) people who have weak math skills! However, ...
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| calculus | 9/14/2005 |
Q: i want to know how to take the integral of 5x divided by the square root of (5x minus 3x to the ...
A: So, you want to solve: Integral(5x/sqrt(5x-3x^2) dx) yes? If so, then first complete the square on ...
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| Calculus | 9/9/2005 |
Q: Determine whether the points lie on straight line. a) (5, 1, 3) (7, 9, -1) (1, -15, 11) Determine ...
A: a) a vector from (5, 1, 3) to (7, 9, -1) -- is [7-5,9-1,-1-3] = [2,8,-4]=V1 -- a vector from (7, 9, ...
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| Multivariable Calculus | 9/8/2005 |
Q: Find two unit vectors orthogonal to both <1, -1, 1> and <0, 4, 4>.
A: The cross-product of two vectors yields another vector that is orthogonal to the two of them. Thus, ...
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| Functions, graphing | 9/5/2005 |
Q: I'm gonna go out on a limb here and ask 3 questions/problems. Even if you only answer 1 that would ...
A: 1. (a) (f+g)(x) is short for f(x)+g(x), so... ------ (f+g)(x)=x/(x+1) + x^3 ---(b),(c), and (d) are ...
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| Applications of Integrals | 9/3/2005 |
Q: I would appreciate it if you could check my answers. I'm sorry it is so long. 1.) Let R denote the ...
A: You have quite a few questions! Let me just help you with the first two for now...if you still need ...
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| Limits | 9/2/2005 |
Q: I am studying for a test and one of the problem has an x with a vertical arrow and the infinity sign ...
A: Wow, a test already! Didn't classes just start?! :-0 Anyhow... Is the vertical arrow pointing ...
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| calculus (limits) | 8/30/2005 |
Q: i am a highschool senior in calculus b/c and i have a real general question about limits. what is a ...
A: The major idea of a limit is what value does a function "appear" to be approaching, irrespective of ...
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| Calculus | 8/29/2005 |
Q: I have used the rule: Integral(dx / x^2 - a^2) = 1/2a ln (absolute vale of)(x-a)/(x-b) + c to get ...
A: Should the limits of integration go from x=0 TO x=pi/2 (rather than the reverse)? If so, then I get ...
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| Calculus | 8/28/2005 |
Q: 1. You start 60 miles east of Pitsburgh and drive at a constant speed of 50 miles per hour (assume ...
A: Also, please post your questions in the appropriate group...this is an algebra question, not ...
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| Calculus | 8/27/2005 |
Q: How is the integral of sin x / 1+sin^2 x found?
A: I gathe you mean: Integral(sin(x)/(1+sin^2(x)) dx)...yes? If so, then let u=cos(x), so that ...
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| math | 8/26/2005 |
Q: if it is not possibly to solve tell me why?if it is then solve it the sum of five consecutive ...
A: In the future, please direct your questions to the appropriate group...these are NOT calculus ...
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| Calculus 1 | 7/10/2005 |
Q: Can you give me a couple of problems to practice with in the area of limits, piecewise functions, ...
A: Try these: http://archives.math.utk.edu/visual.calculus/1/limits.15/ ...
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| Questions | 7/9/2005 |
Q: Q 1 Find surface area of paraboloid S by revolving graph of y=x2 between x=0 and ...
A: 1. You did not finsh with the limts...between x=0 and ??? 2. There are various densities of ...
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| Surface Area | 6/5/2005 |
Q: How would one go about finding the surface area of the sphere: x^2 + y^2 + z^2 = 4 that lies above ...
A: There are a few ways...depending on how much math you know. Are you in a calculus class? Single or ...
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| Calculus Integrals | 5/30/2005 |
Q: Integral of (2sin(3x)-4cos95x))dx i know you have to probably use U sustitutionon all of them but i ...
A: 1. Int(2sin(3x)-4cos(5x)) dx = 2cos(3x)/(-3) - 4sin(5x)/5 + C = -(2/3)cos(3x)-(4/5)sin(5x)+C ...
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| question about AP | 5/25/2005 |
Q: i have a question about taking AP Calculus. what do u need to do in order to prepare for AP Calc b/c ...
A: Of course, as with nearly any math course, you need certain skills in advance! For calculus, you ...
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| Prime numbers | 5/24/2005 |
Q: How many prime numbers between one and one million become perfect squares when 1 is added to them ...
A: BTW: there are 78498 primes between 1 and 1000000... Hello Maxine, Only One! Namely, 3 ...
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| Throwing a Ball-- Math Problem | 2/6/2005 |
Q: I'm taking a History of Mathematics class and I'm working on a few math problems that I'm having ...
A: A) D(T)=(1/2)gT^2+VoT+Do -- where g is about -32, Vo=-40, Do=600 -- so, D(T)=-16T^2-40T+600 B) Just ...
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| Metric conversions | 2/6/2005 |
Q: I'm in a Pharmacology class and it's been awhile since I've had any math dealing so in depth with ...
A: Here are some useful websites for you: http://www.easysurf.cc/cnver8.htm ...
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| integral problems with velocity | 2/4/2005 |
Q: let say at t=0, a ball was dropped from a height of 16ft. it hit the ground and rebounded to a ...
A: for the first part (from 16 ft drop to the floor): v1(t)=-32t, 0<=t<=t1, t1=time until ball hits ...
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| Optimizing | 1/23/2005 |
Q: I have three Calculus Questions that I have worked on for three hours and I can't figure them out. ...
A: 1. Let x=length & y=depth, with 4=width, and volume, V=36 -- so, 4xy=36 ==> y=9/x -- the area of the ...
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| Differential and Integral calculus | 1/17/2005 |
Q: Basic questions: What is the purpose of trigonometic functions in Calculus? What is the purpose of ...
A: Trig functions are useful to describe phenomena that is periodic...such as problems involving ...
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| Characteristic Polynomials | 1/15/2005 |
Q: What is a characteristic polynomial?
A: Check these references: http://mathworld.wolfram.com/CharacteristicPolynomial.html ...
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| Functions | 1/14/2005 |
Q: got one more quick one no one seems to know using implicipt differentiation find the equation of the ...
A: .. Differentiate with respect to x, so we get: 3x^2+2xy'+2y+3y^2y'=0 (using the product rule for ...
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| Identities | 1/11/2005 |
Q: i dont know where to start with this problem; Prove that the equation is an identity sinX/(1-cosX) ...
A: OK, combine the left side by getting a common denominator, which is sin(x)[1-cos(x)]: ==>[sin(x)^2 + ...
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| Calculus | 1/10/2005 |
Q: I'm having trouble solving this problem, and was wondering if you could help me with parts b and c. ...
A: (a) (-sqrt(3),-sqrt(3)) & (sqrt(3),sqrt(3)) (b) V is just the difference in y-values. --- since the ...
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| Max Area | 1/9/2005 |
Q: A little help What is the Max Area of a redtangle inscribe in the ellipes x^2+4y^2=4 with the sides ...
A: Yes, that is a good start! Actually, y=(+/-)(1-x^2/4)^(1/2), i.e. plus or minus... So the dimensions ...
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| Optimization Problems | 1/8/2005 |
Q: The lifeguard at a public beach has 400 m of rope available to lay out a rectanguluar restricted ...
A: I need to know if this is for a precalculus class or calculus? There are two ways to do ...
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| Use Lagrange or other method?? | 1/4/2005 |
Q: I would like to know "a grosso modo" the type of problems in wich i MUST use Lagrange multipliers ...
A: Whenever you have a max/min problem (in more 2 or more variables) WITH CONSTRAINTS, then you use ...
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| Calculus | 12/26/2004 |
Q: Let f be the function given by f(x)= (2x)/((x^2)+x+1)^.5 Find the range of f. Use f'(x) to justify ...
A: Notice that limit (as x-> +infinity) of f(x)=2 and limit (as x-> -infinity) of f(x)=-2 Now for the ...
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| Integration | 1/28/2004 |
Q: I am having problems solving the following definite integraL The integral from 0 to 2^.25 of: ...
A: Yes, good substitution! Let u=x^4, so du=4x^3 dx Thus, the integral becomes: ...
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| calculus | 1/25/2004 |
Q: I need to solve the equation z to the 5 = i Please help!
A: z^5=i=1*e^(i*T), where T=pi/2...using DeMoivre's Thrm... z=1^(1/5)[cos(T/5)+i*sin(T/5)] or ...
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| Related Rates | 1/7/2004 |
Q: The question is: A radar station is 2000 ft from the launch site of a rocket. if the rocket is ...
A: Let x=the distance from the rocket to the radar station, which will be the hypotenuse of a right ...
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| High School level Calculus | 1/3/2004 |
Q: How would I go about solving this problem: The problem gives me the solution of y= The integral ...
A: Well, just take the first and second derivative of the given solution, substitute them in to the DE ...
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