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Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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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 40,044
O.K. , this question is inspired by a physics class I'm taking where we're working out the expectation values of wave...
Feb6-14 10:57 PM
Shyan
1 292
I know what a complex number is. Learned it way back when I took college classes. I know it is a number that has a...
Feb6-14 10:56 PM
Pythagorean
1 315
Can anybody please help me understand the computation of the integral in the attached image. I shall be grateful.
Feb6-14 09:33 AM
HallsofIvy
3 388
I can't seem to quite comprehend the level curves for f(x,y)=xy. I realize this should be very simple yet the answer...
Feb5-14 11:49 PM
Shyan
1 342
What's the difference between these three? I only know Taylor series and its variants which I suppose is called power...
Feb5-14 06:18 AM
Avichal
2 315
hey pf! can someone please explain physically what the dyadic product represents: \vec{a} \vec{b} i know its a...
Feb5-14 12:36 AM
joshmccraney
3 336
Here is the beast \iint_{(ax+\mu _{1})^{2}+(bx+cy+\mu _{2})^{2}\leqslant z}\frac{1}{2\pi \sigma...
Feb4-14 12:06 PM
Jeff.Nevington
2 1,082
Has anybody got an idea how to solve this integral. I tried integration by parts, and that made the things even more...
Feb2-14 05:23 AM
D H
1 396
hey pf! can someone comment on this statement i believe to be true: a simply connected, curl-free vector field is...
Feb1-14 01:57 PM
FactChecker
10 607
I've been taking calculus for a while now and I was just wondering why natural logarithm is abbreviated as "ln" and...
Jan31-14 12:18 PM
Jhenrique
8 659
If x^n=y^n , n= odd Then x=y I know that an odd is n=2k+1 So x^(2k+1)=y^(2k+1) I don't know how to finish...
Jan30-14 04:41 PM
Mark44
1 371
I want to show that a function x(a,b) is bounded by some value l, knowing that the extremes of the function occur when...
Jan30-14 10:00 AM
jgens
10 500
Hey, everyone. I am trying to find the power series of secant from the known power series of cosin, but my answer...
Jan28-14 09:44 PM
HallsofIvy
1 345
Hey, I am rather stuck on this gaussian integral.... I have come this far, and not sure what to do now: \int...
Jan28-14 03:17 PM
mathman
1 366
I'm teaching a course using D. V. Schroeder, An Introduction to Thermal Physics, and there is a "derivation" in the...
Jan27-14 09:01 PM
FactChecker
5 546
I have thomas calculus 12th edition, I like it, I study and understand calculus, but i need somebody to recommend...
Jan27-14 08:31 PM
FactChecker
6 543
hey pf! i'm trying to get a geometric understanding of the fundamental theorem: \int_a{}^{b}f'(x)dx=f(b)-f(a)...
Jan27-14 08:12 PM
FactChecker
4 408
Hi guys, I'm a bit rusty on optimization, but i remember enough to be able to setup some problems that I am facing in...
Jan27-14 07:51 PM
FactChecker
5 399
Hello all, Suppose I have a simple 1-D signal and I want to compute the hessian. In that case, it should generalise...
Jan27-14 11:08 AM
Stephen Tashi
1 332
I have been reviewing some details on the Dirac Delta function and I've hit a little bit of a road block with trying...
Jan26-14 10:57 AM
WannabeNewton
3 428
A limit of a sequence is definetely convergent if: If for any value of K there is an N sufficiently large that an >...
Jan26-14 04:40 AM
tiny-tim
1 358
http://en.wikipedia.org/wiki/Partial_fraction_decomposition In general, if you have a proper rational function,...
Jan25-14 09:52 PM
MathewsMD
6 463
Hey PF. I was wondering if anyone can help me figure out i can tell if certain functions are even or odd. For example,...
Jan24-14 05:59 PM
PeroK
6 391
I have to integrate -partial^2f/partialx^2 -partial^2f/partialy^2 in the variable x-y How to do this?
Jan24-14 08:18 AM
HallsofIvy
1 373
Hi, I'm working the following paper ""Plane waves viewed from an accelerated frame, K Srinivasan, L Sriramkumar, T...
Jan23-14 10:07 AM
Jip
0 429
How do you tell if a limit is infinity, and you should use that approach, or if you should try to factor/multiply by...
Jan22-14 10:38 AM
Mark44
1 371
Had this question on a test today, Find the shortest distance from the origin to the surface xyz2=2 I figured...
Jan21-14 10:27 PM
HallsofIvy
4 511
I've been dealing with several integrals involving rational functions. I have encountered myself arriving to an...
Jan21-14 05:06 PM
mr_sparxx
2 421
Hi all! I'm trying to solve the Schrodinger equation for a fusion process. I came up with this integral \int...
Jan21-14 03:12 PM
phyzguy
3 376
Hello, I was wondering if such a thing even exists, so here it goes... Let's say I have a function x(s) (it is real,...
Jan19-14 05:51 PM
strangerep
5 471
I'm trying to implement a numerical code for the diffusion equation with moving boundaries. I have no problems with...
Jan19-14 12:05 PM
babagoslow
2 394
Hi all, this question stems from a homework question but is not the homework question itself, more a discussion on...
Jan19-14 05:05 AM
jimbobian
2 379
As a way of practicing my Latex skills and asking about antiderivatives. Suppose we have \int\frac{1}{x^2 + a}dx ...
Jan18-14 02:13 PM
D H
16 909
Hi, I have read that zeta(x) = 1^(-x) + 2^(-x) + 3^(-x) + ... infinity for x = -1, zeta(-1) = 1 + 2 + 3 + 4 + 5 ......
Jan17-14 11:06 AM
Office_Shredder
1 443
Hi there. I've been trying to solve the integral of 1/(1+cosh(x)). I use Wolfram to give me a detailed solution but I...
Jan17-14 06:06 AM
FelixHelix
5 435
Hi everyone! I'm not sure if this is the right forum to post my question. If i'm wrong, let me know it. The...
Jan17-14 04:14 AM
Grufey
6 658
Just curious: Are there any unique relationships b/w the inverse of a function and the original, specifically when...
Jan15-14 10:12 PM
MathewsMD
7 814
I've been looking for this identity: arctan(1/x) = arcot(x) or arccot(1/x) = arctan(x) After just visually...
Jan15-14 08:25 AM
HallsofIvy
4 637
How does this: \int_0^\infty\frac{x^{m-1}}{1+x} dx equal \frac{\pi}{sin(m\pi)} ? It has been simply stated as a...
Jan15-14 05:15 AM
maajdl
4 417
Hi, Recently in class, my professor went over a relationship that exists between trigonometric functions, T(x),...
Jan14-14 07:24 PM
Simon Bridge
3 662

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