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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 46,556
Hi, Kinda need help for this question. f(x,y) = ln(y-2x) 1. Find the largest possible domain 2. Find the...
Oct15-09 09:12 AM
Saunderssim
2 2,696
Hi: Does anyone know of an explicit formula for the Real and Imaginary parts of GAMMA(1/2+I*y) as functions of y ?...
Oct15-09 08:21 AM
g_edgar
1 882
Hi, A damped harmonic oscillator is described by the following equation: x" + 2*gamma*x' + omega^2*x = 0 which...
Oct15-09 08:10 AM
Krampus
0 1,247
Is anyone familiar with any resources on the study of continuity of functions on the real line via gauges? This is...
Oct15-09 08:08 AM
g_edgar
1 590
I know d/dx of ln(x) is 1/x , x>0. A website says d/dx of ln(|x|) is also 1/x for x not = 0 . is that true , i am...
Oct15-09 05:34 AM
rzaidan
6 1,352
Hi all. I've recently learned a shortcut for integration by parts, but don't know what it's called or where it comes...
Oct14-09 06:05 PM
PhantomOort
6 3,231
My notes say the deriv. of inverse Cotangent is -1/(1+x2) But when I plot the derivative of this function: ...
Oct14-09 03:47 PM
Jules18
2 826
I feel a bit dumb, but could someone help me see this: G(s):= \int_{-\infty}^{\infty}f(-x)e^{-2\pi isx}dx =...
Oct14-09 02:54 PM
HallsofIvy
3 1,315
I have a graph of B against I (mag.field v current) with error bars for uncertainties in both (although i'm not sure...
Oct14-09 12:33 PM
mrausum
0 590
Optimize f(x,y,z) = 2x + 2y + 2z subject to constraints g(x,y,z) = x2 - y2 - z2 - 1 = 0 & h(x,y,z) = x2 + y2 +...
Oct14-09 06:45 AM
HallsofIvy
4 951
Hi everyone. I am stuck in one of the assignment problems, and I think it's supposed to be simple, but it's just that...
Oct14-09 05:07 AM
trambolin
1 844
Hi all, A friend of mine asked me if i had any ideas about the following problem, i tackled it but with no success,...
Oct14-09 12:56 AM
╔(σ_σ)╝
7 1,439
I'm trying to think of a word that describes the opposite of a trig function. It's like inverse, but I know that's...
Oct13-09 11:04 PM
Jules18
2 713
Suppose y = f(u), and u = g(x), then dy/dx = dy/du * du/dx. In an intuitive "proof" of the chain rule, it has this...
Oct13-09 09:36 PM
Quincy
6 3,405
I did know where in the math forums to post this, hope this is right. Do elliptic functions along with elliptic...
Oct13-09 06:52 PM
jasonRF
5 2,265
Optimize f(x,y,z) = x3 + y3 + z3, subject to the constraint g(x,y,z) = x2 + y2 + z2 - 1 = 0 Step 1: I did L = f -...
Oct13-09 03:44 PM
arildno
12 1,218
Hi everybody. I have a simple question for experts of the forum. I must calculate a elliptic integral.. I do not...
Oct13-09 02:13 PM
Carl_Weggel
3 3,333
i recently started my calculus III course but i was stuck with the derivative part when i derive a real number to the...
Oct13-09 09:34 AM
develish16
3 22,094
hi all, I've been trying to integrate this thing for ages.i tried using integration by parts using u=x^2,...
Oct13-09 08:00 AM
emin
6 1,470
I have been asked to give an example of a function form R to R thats fails to have limit as x tends to infinity but...
Oct13-09 06:02 AM
HallsofIvy
1 861
There is a surface defined by setting implicit function g(x)=0, where x is a 3 by 1 column vector, denoting a point on...
Oct13-09 04:23 AM
trambolin
1 4,314
Optimize f(x,y,z) = x2 + y2 + z2 - 2x subject to the constraint g(x,y,z) = x2 + y2 + z2 - 25 = 0 Step 1: L = f -...
Oct13-09 12:04 AM
Office_Shredder
1 676
Why are they similar? sin(a+b)=sin(a)cos(b)+cos(a)sin(b) d/dx (f(x)*g(x))=f(x)g'(x)+g(x)f'(x) Somewhere on...
Oct12-09 10:17 PM
sokrates
3 5,445
Can anybody please show me an example of a convergent sequence of real valued functions of a real variable where the...
Oct12-09 07:45 PM
symbol0
4 1,399
I need to compute the normal velocity of an evolving front in two dimensions (x,y). Let's say that I have collected...
Oct12-09 02:39 PM
HughJass
0 1,445
Hello people, I'm creating an algorithm on Matlab and need to find the distance between two points in spherical...
Oct12-09 02:05 PM
TheDestroyer
5 20,798
i have these two question i need help 1. given y=3x2 find the percentage error in y if there is a 3.5% in the...
Oct12-09 01:02 PM
LCKurtz
1 944
How close to 4 do we have to take x so that 3x + 2 is within a distance of (a) 0.1 and (b) 0.01 from 14? ...
Oct12-09 01:01 PM
LCKurtz
1 530
is this trick valid at least in the 'regularization' sense ?? for example \int_{-\infty}^{\infty}...
Oct12-09 07:36 AM
g_edgar
4 1,004
I'm having trouble calculating an integral: \int_0^1{\frac{1}{1+\sqrt{x}}dx} I decided to do a substitution: ...
Oct12-09 05:22 AM
dragonblood
5 21,444
I've been trying to prove that if the following statement holds for all (x,y)ER^2, f must be a linear function: ...
Oct12-09 01:09 AM
arildno
1 949
Preparing for the math test, and cannot understand what to do for one of my practice problems: I need to find if...
Oct11-09 04:29 PM
dlevanchuk
3 4,461
Hi, Can anyone help me integrate : Integral sqrt ( 4 - x^2) dx Some ideas: Make a subsitution x2 = cos...
Oct11-09 02:12 PM
pjkily
24 63,896
I'm a physics major (undergrad) who wants to learn real and complex analysis, but don't have the time to do the...
Oct11-09 01:41 PM
profanilp
4 6,097
My course is using Rudin, however I've heard that it's not the best text for learning measure theory and extremely...
Oct11-09 01:39 PM
profanilp
4 4,865
I was given f(x,y,z) = x4 + y4 + z4 - x2 - y2 - z2. I found that (or least I think it's these) x = 0 & \pm1/\sqrt{2},...
Oct9-09 09:43 PM
squenshl
2 740
1. The problem statement, all variables and given/known data Can someone help me take the derivative of the integral...
Oct9-09 07:20 PM
LCKurtz
3 983
Can you always just swap the limits of integration and flip the sign of a one-dimensional integral or is there a time...
Oct9-09 05:46 PM
Pythagorean
2 8,165
Hi, Im having trouble understanding something in one of my Dynamics lectures. The lecturer said that: dr/dt...
Oct9-09 12:49 PM
HallsofIvy
2 1,191
given sequences \left\{x_n\right\}, \left\{y_n\right\}, is it true that \sqrt{ \Sigma_{n=1}^{\infty} (x_n - y_n)^2}...
Oct9-09 09:31 AM
statdad
6 3,948

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