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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 39,999
Accidentally I wrote in the wolfram f(x) = f(1/x) the the wolfram give me the solution for this equation (f(x) =...
T 01:09 PM
HallsofIvy
2 120
Hi I am currently reading a book where this showed up: The author gave a ##3## parameter equation (note ##Y##...
T 12:20 AM
Red_CCF
1 272
i'm trying to integrate this: $$W=\frac{ε}{2}\int{\vec{∇}\cdot\vec{E})Vdτ}$$ where ε is a constant, E= -∇V, τ is...
Y 09:35 PM
Simon Bridge
4 164
I am working on the derivation of the angular momentum squared operator (in quantum mech.) and there is one step that...
Y 07:53 PM
hideelo
2 70
\int \frac{d}{dx}f(x)dx = f(x) + C_x \iint \frac{d^2}{dx^2}f(x)dx^2 = f(x) + xC_x + C_{xx} \int...
Y 02:48 PM
Mark44
7 216
Hey guys, I'm really really confused on how we come about the plane z = x - y. I always have been and it's proving to...
Y 08:47 AM
HallsofIvy
2 106
Hello, I've come across equations where people use the approximation \int_0^1 \exp(f(x))\, dx \approx \exp \left(...
Y 05:17 AM
Irid
0 71
I'm brushing up on calculus. I don't see how this derivative works. x(t) = A cos(ωt - \varphi) v(t) = dx / dt = ...
Apr14-14 06:49 PM
jbunniii
1 112
I understand how to use it, but I'm just getting really confused on when you use it? Is there a way you can look at...
Apr14-14 06:45 PM
Jhenrique
4 210
Hi! I am having trouble following the derivation from Euler's Equation to Bernoulli's Equation. The trouble lies in...
Apr14-14 01:38 PM
Einj
3 191
how do I find the derivative of tanh^-1(sinh(2x)) do I just find derivative of tanh^-1(x) this then substitute...
Apr13-14 08:14 PM
AMenendez
2 178
please tell me if i did this correctly: task: i'm trying to divide the differential dA by dV where.. dA =...
Apr13-14 03:57 PM
HallsofIvy
3 147
Hi all ! I'm new here :) So I'm facing some confusions here regarding integration by parts. While surfing through...
Apr13-14 01:10 AM
O.CModderz
9 318
the coordinates of cycloide are ##x= a (\theta- sin \theta)## ##y= a(cos \theta -1)## If i use ##\theta =\omega...
Apr12-14 10:16 PM
Simon Bridge
3 176
How is this limit evaluated? \lim_{k->0}\frac{sin(\pi k)}{sin(\frac{\pi k}{N})} I know that it is N, but I...
Apr12-14 09:04 PM
Jyan
0 149
A uniformly convergent sequence of continuous functions converges to a continuous function. I have no problem with...
Apr11-14 01:26 AM
GenePeer
5 494
Hello. My first time posting here. So... My question is kinda hard to explain but I will try to. So we all know about...
Apr9-14 02:00 PM
AlfredB
0 173
Hello, Consider two particles which interact via a Gaussian potential: V(\mathbf{x}) = \exp(-\mathbf{x}^2) I...
Apr9-14 11:08 AM
Irid
0 143
Hi, I'm doing this integration: I = ∫^{1}_{-1}1/(\pi√1-x2)dx I made the substitution x = cosθ, and I'm fine...
Apr8-14 11:03 AM
jbunniii
1 219
I'm not sure which category this post actually belongs to, or if the title of this post is even accurate. I guessed...
Apr8-14 03:37 AM
micromass
19 658
So this is a theoretical question I am not sure about with partial derivatives. Say we have function x(i,j) with ...
Apr8-14 01:33 AM
chicago77
2 230
hey pf! i have a few question about the physical intuition for divergence, gradient, and curl. before asking, i'll...
Apr7-14 11:35 PM
joshmccraney
8 312
Is it necessary for some point ##x## of the function to be saddle that ##f'(x)=0##?
Apr7-14 04:34 PM
Mark44
3 207
I'm looking for a way to write down an analytic approximation for the following integral: \int_0^\infty \frac{k...
Apr7-14 03:04 PM
csmallw
2 247
Hello all, I have the following integration: \int_{-\infty}^{\infty}e^{-j2\pi...
Apr7-14 02:23 PM
S_David
3 275
Function ##f(x)=x^4## has minimum at ##x=0##. ## f'(x)=4x^3## ##f'(0)=0## ##f''(x)=12x^2## ##f''(0)=0##...
Apr7-14 10:08 AM
HallsofIvy
2 204
I have been trying to follow how the complex Fourier coefficients are obtained; the reference I am using is at...
Apr6-14 05:08 PM
jellicorse
4 228
Hi guys, so I'm trying to create this thing that gets accelerometer values and integrate those values at about 25...
Apr6-14 03:17 PM
mathman
1 262
I saw in a question related to Signals and systems that the limits were taken from 5- to 10+ where the signs were in...
Apr5-14 08:45 PM
Mark44
5 253
Suppose ##f^{\prime\prime}## is continuous on an open interval that contains x = c 1. If ##f^{\prime}(c)=0## and...
Apr5-14 11:27 AM
22990atinesh
3 236
I have a question about optimization. When we apply subgradient method to a differential optimization problem, will it...
Apr5-14 10:53 AM
peterlam
0 188
The popular fundamental theorem of calculus states that \int_{x_0}^{x_1} \frac{df}{dx}(x)dx = f(x_1)-f(x_0) But I...
Apr5-14 04:51 AM
Jhenrique
8 370
hey pf! i had a question. namely, in the continuity equation we see that \frac{\partial}{\partial t}\iiint_V \rho...
Apr4-14 07:14 PM
joshmccraney
2 236
I found this identity in the wiki https://upload.wikimedia.org/math/3/3/8/3381de258dc7b9d8733d05011c9811eb.png...
Apr4-14 07:09 PM
Jhenrique
0 197
I'm having a little bit of trouble understanding the equation of a cone.. It is given by (x^2)/(a^2) + (y^2)/(b^2)...
Apr4-14 05:05 PM
gopher_p
1 212
Hi! :smile: I have the following integral \int^{∞}_{∞} \frac{\delta^{n}}{\delta a}f(a,b,c)da there is any...
Apr4-14 03:37 PM
mathman
1 268
Dear All, I am unable to understand a simple mathematics relation. I spent 2-3 hours to Google multi-variable...
Apr4-14 03:34 PM
mathman
1 258
The graph of a differentiable function y=f(x) is 1. concave up on an interval I if f' is increasing on I. 2....
Apr4-14 11:06 AM
22990atinesh
9 356
Like we have the total differential of a function: http://s18.postimg.org/oj87l7x5l/imagem.png I was thinking, why...
Apr4-14 10:44 AM
Mark44
5 358
While watching a recent Youtube video on Marxian crisis theory and the Tendency Of The Rate Of Profit To Fall, I...
Apr3-14 04:11 AM
willem2
2 299

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