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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 40,088
Hello everyone, I have recently bumped into the Kramers Kronig Relations while reviewing some of my Eletromagnetism...
T 08:48 PM
Zag
3 94
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Say for some general function f(x), and g(x) = ∑x=0∞ f(x) (assuming function is defined) Is there a way to find the...
T 03:30 PM
cmcraes
8 137
So I was doing my calc homework when I stumbled upon this thought: lets say you were trying to find the solid of...
T 02:11 PM
SteamKing
1 74
Hi I am facing a mathematical problem in my research. I am not a maths magor and i need to do this to move on with my...
T 12:58 PM
Aladdin123
22 340
I do not know how to formulate formulas on this forum so I just wrote it neatly on a piece of paper and linked it. ...
Y 07:21 PM
Mark44
1 102
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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...
Y 01:54 AM
JJacquelin
1 239
If exist a connection between the infinitesimal derivative and the discrete derivative $$d = \log(\Delta + 1)$$...
Apr18-14 05:17 PM
Jhenrique
6 136
Hey guys, just trying to understand how the quotient rule is derived, so I head over to wikipedia and saw this: ...
Apr18-14 02:14 PM
gomess
4 134
Hello, I have a real world application that I need some help with. I am sensitive to the fact that this is not the...
Apr18-14 01:12 PM
berkeman
2 107
Hello, Wolfram is giving me the required answer however, the steps it uses I find very confusing. Can anyone share...
Apr18-14 09:53 AM
Mark44
1 147
For my own use and consumption, I created a generalization of the nth integral of a function f and I'm posting it here...
Apr18-14 03:03 AM
pwsnafu
5 185
Accidentally I wrote in the wolfram f(x) = f(1/x) the the wolfram give me the solution for this equation (f(x) =...
Apr17-14 08:45 PM
Simon Bridge
11 300
Hi all, I'm working on some QFT and I've run into a stupid problem. I can't figure out why my two methods for...
Apr17-14 01:51 PM
welcomeblack
2 142
Hello, I've come across equations where people use the approximation \int_0^1 \exp(f(x))\, dx \approx \exp \left(...
Apr16-14 09:57 PM
welcomeblack
1 154
Hi I am currently reading a book where this showed up: The author gave a ##3## parameter equation (note ##Y##...
Apr16-14 12:20 AM
Red_CCF
1 335
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...
Apr15-14 09:35 PM
Simon Bridge
4 236
I am working on the derivation of the angular momentum squared operator (in quantum mech.) and there is one step that...
Apr15-14 07:53 PM
hideelo
2 136
\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...
Apr15-14 02:48 PM
Mark44
7 280
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...
Apr15-14 08:47 AM
HallsofIvy
2 162
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
1 169
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
4 271
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
3 245
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
2 233
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
3 203
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
9 372
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
3 224
A uniformly convergent sequence of continuous functions converges to a continuous function. I have no problem with...
Apr11-14 01:26 AM
GenePeer
5 540
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
0 235
Hello, Consider two particles which interact via a Gaussian potential: V(\mathbf{x}) = \exp(-\mathbf{x}^2) I...
Apr9-14 11:08 AM
Irid
0 194
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
1 270
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
19 766
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
2 284
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
8 358
Is it necessary for some point ##x## of the function to be saddle that ##f'(x)=0##?
Apr7-14 04:34 PM
Mark44
3 254
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
2 296
Hello all, I have the following integration: \int_{-\infty}^{\infty}e^{-j2\pi...
Apr7-14 02:23 PM
S_David
3 331
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
2 253
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
4 272

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