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Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
micromass
1 46,552
I am trying to calculate the following sum: ...
Apr18-12 09:36 PM
DonAntonio
1 1,047
I have a quantity U(x), x>0, which I cannot calculate exactly. Numerically, I can calculate an approximation...
Apr18-12 05:10 PM
bruno67
0 749
Dear All, When I have a equation 1/sT its an integrator with time constant i.e Assuming a T of 5s, if I input a...
Apr18-12 04:56 PM
RadKrish
0 867
\Sigma_{n=1}^∞\frac{\sqrt{n}}{n!} I know it converges, because it is must be between e and e-1 Thanks!
Apr18-12 04:23 PM
collinback
0 802
I am trying desperately to figure out a Fourier series question i have been given and have hit a big mental wall can...
Apr18-12 03:09 PM
LCKurtz
8 1,492
Hi I am doing integration and cannot see how when you integrate x* you get / -3n
Apr18-12 12:39 PM
izzy93
1 1,247
Hello! I'm want to prove a vector identity for (\nabla \times \vec{A}) \times \vec A using the familiar method...
Apr18-12 09:15 AM
center o bass
0 742
What will the x-int be in this equation? (x^2 +1)/ (x^2 -4)
Apr18-12 09:01 AM
lugita15
5 980
For a function such as w=5xy/z How would you find the partial derivative of w with respect to y or z? I've...
Apr18-12 08:46 AM
SwaGGeReR
6 1,664
1. In the Khan academy video I watched on partial derivatives, I understand absolutely everything except for the last...
Apr18-12 04:22 AM
Dorslek
2 806
How do I go about determining where f(x,y) = \sqrt{|x| + |y|} is differentiable?
Apr18-12 12:32 AM
slider142
1 751
I have a large class of fourier transform integrals that I would like to solve, approximate, or just get some insight...
Apr17-12 09:00 PM
laurent711
3 797
Please derive the right-hand side from the left. If anyone could shed some light on this I would be grateful. ...
Apr17-12 04:01 PM
ehrenfestcq
2 806
Hello. I had always been annoyed when dealing with parametric equations but it finally dawned on me how awesome the...
Apr16-12 08:56 PM
victor.raum
1 1,214
Noting that we can get the Laplace transform of frequency differentiation L{tnf(t)}=(-1)nF(n)(s). If n is not an...
Apr16-12 06:43 PM
cbzeng
0 1,595
I tried to find the length of a sine curve using calculus.I got stuck in the integral of integral(sqrt(cos(x)^2+1), x,...
Apr16-12 07:20 AM
1994Bhaskar
4 2,246
So kind of like this thread, I'm looking to convert a discrete sum to an integral. My idea thus far has been to arrive...
Apr15-12 04:21 PM
mathman
10 2,719
Hi, I was wondering about how to determine the residue of a pole that is written in the form: f(z) = \frac{1}{(1 +...
Apr15-12 06:21 AM
jackmell
3 957
I'm confused regarding the limits required for the following question: Find the area in the plane between the...
Apr15-12 05:01 AM
DonAntonio
3 1,148
Could somone tell me how is it that the double integral could be used for both calculating the area as well as the...
Apr14-12 07:26 PM
HallsofIvy
2 860
Does anyone have any tips for solving the system of equations formed while trying to find Lagrange Multipliers? I have...
Apr14-12 01:39 PM
HallsofIvy
1 1,167
The first fundamental theorem of calculus begins by defining a function like this: http://i.imgur.com/aWXql.png ...
Apr14-12 09:38 AM
sachav
7 1,726
Hi, I need help with this problem; minimize x^3, subject to K= x-Ωπ so would the solution be K-Ωπ=x
Apr14-12 07:58 AM
HallsofIvy
1 1,007
I am looking for an explanation and derivation of a total differential of a 2nd order function, i.e. a function that...
Apr13-12 02:24 PM
birulami
0 743
Say we want to find ∫(-cosx)sinx dx set u = -cosx so du/dx = sinx ∫u \frac{du}{dx}dx And then the dx's...
Apr13-12 01:16 PM
micromass
31 3,492
I came accross the question The following equation represents two straight lines. Determine the equation of each of...
Apr13-12 08:39 AM
HallsofIvy
1 1,153
The first order KKT condition for constrained optimization requires that the gradient for the Lagrangian is equal to...
Apr12-12 02:56 PM
brydustin
4 1,015
I am reading a recent (2003) paper, "Fatou and Julia Sets of Quadratic Polynomials" by Jerelyn T. Watanabe. A...
Apr12-12 01:27 PM
Unit
4 1,149
How do I find the local minimum of z=sqrt(x^2+y^2) I know its simple, but I'm stuck on it. I've tried using the...
Apr11-12 07:12 AM
AlephZero
3 1,125
\int^{\infty}_{1}\frac{1}{e^{t}-1}dt = -ln(e - 1) + 1 Not sure how to get the +1 part from infinity, seems like...
Apr10-12 08:49 PM
scurty
3 1,115
Please see the attachment. Under the given range of parameters the integral converges, but I can't find a closed form...
Apr10-12 07:31 PM
semigroups
2 1,058
Hi, I have a probability density function defined by 1 / D x E . eABC/2 D is a single number E is a...
Apr10-12 05:47 PM
mathman
1 781
Hi folks, I need to evaluate (numerically) a multi-dimensional integral of the form \int_A f(x) dx. Now in my...
Apr10-12 08:51 AM
Derivator
12 2,669
greetings . any ideas on how to evaluate this integral \lim_{T\rightarrow...
Apr9-12 02:29 AM
JJacquelin
4 1,265
Hi, I am wondering how to express the domain of a two-variable function f(x,y) as below. For any given y, f(x,y)...
Apr8-12 09:22 PM
loveinla
2 1,018
Alright. I completely confused about determining the area between regions of polar curves. However, I do feel that I...
Apr8-12 08:34 PM
chiro
3 2,072
Is there a general inversion formula or procedure for an integral of the form (where f is the function being...
Apr8-12 07:10 PM
KarmonEuloid
0 1,550
Can someone determine what this iteration works out to, where x' becomes x again each time, starting with x=1 and a...
Apr8-12 01:35 PM
HallsofIvy
8 1,035
I need a quick reminder that this is (hopefully) true: Let \sum a_n be an infinite series of complex terms which...
Apr8-12 01:26 PM
Poopsilon
2 1,156
Hello! I tried to develop equations of motion of system of wheels, where the first one with radius of r is rotated...
Apr8-12 08:31 AM
dodo
1 684

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