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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 40,128
In most calculus textbooks, they use double integrals to evaluate the Gaussian integral. Where did they get the idea -...
Feb24-13 11:05 PM
Mute
9 1,320
Hi, I'm reading a paper about integrals that occur frequently in atomic theory, and the Dirichlet formula is...
Feb25-13 01:48 AM
bkarpuz
2 4,150
Dear members, see attached pdf file.Can you help me to prove this formulas. Thank you Belgium 12 This is...
Mar1-13 04:02 PM
HallsofIvy
2 1,156
Hi I have this integral that I want to express in terms of a gamma function. Unfortunately I am unable to bring it...
Feb19-13 11:12 PM
bossman27
1 498
I am trying to establish why, I'm assuming one uses taylor series, \frac{\partial u}{\partial t}(t+k/2, x)=...
Feb19-13 04:36 AM
tiny-tim
1 606
Hello, I was starting with an equation using hooke's law and with a damping factor appended to it. The equation is...
Feb21-13 10:02 AM
datahead8888
2 641
Is it possible to come up with a derivation of the surface area of a sphere without using a double integral? Most of...
Feb21-13 03:29 PM
Vargo
4 1,063
Hello, I've allways wondered how to get to polar coordinates from cartisan coordinates. I took a course in fluid...
Feb21-13 04:35 PM
pasmith
1 510
If ##f=f(x)## why then is ##df=\frac{df}{dx}dx##?
Feb22-13 08:29 AM
HallsofIvy
8 660
Hi. I am reading this chapter about dimensionless ratios and scaling law. and it says like this: \alphaF =...
Feb21-13 06:14 PM
hudzaifah
0 430
Hi everyone! I really need help for this. I have to read a paper in economics where some parts I don't understand. ...
Feb25-13 03:40 PM
arfie
4 1,133
I want to show that if f(x) > g(x) \forall x \in (-\infty, \infty) and ...
Feb24-13 08:21 PM
jbunniii
3 144
For any integral where the integrand is of the form f(θ)^z, with z a complex number, and f(θ) = sin(θ), cos(θ),...
Feb27-13 12:59 PM
eyesontheball1
5 636
Consider a sphere of radius r where its density at any point is f(d) with d being the distance of the point from the...
Feb26-13 02:59 PM
johnaaronrose
3 144
hey guys when integrating over a complex number, do you treat the i as a constant and perform calculations normal,...
Feb24-13 02:14 PM
mathman
1 445
I can't provide all the information, because I'm on my mobile phone. Here is a shot of the problem: The tangent of...
Feb24-13 03:33 PM
jmedina94
4 605
When I plot y = 3x^{\frac{4}{3}}-\frac{3}{32}x^{\frac{2}{3}}, I get:...
Feb28-13 09:34 AM
Mark44
4 600
Hello all, I am searching for an analytic solution to an integral of the following form: ...
Feb26-13 02:43 PM
Mute
4 585
here is a geometric proof, similar to the one in my textbook (copied from Aryabhata, from...
Feb26-13 12:33 PM
Fredrik
3 906
Could someone look over this and see if I have any mistakes? I'm trying to show that ∫ y' dx = ∫ dy through...
Feb27-13 02:36 PM
joeblow
6 648
My question regards how the approximation becomes an equality.
Mar1-13 05:31 PM
charliepebs
6 760
Hi! Given a function r:\mathbb{R} \rightarrow \mathbb{R}^2, r(t) = (f_1(t), f_2(t)), is there a way to...
Feb27-13 03:15 AM
mariush
2 418
How can I describe electric fields and equipotential surfaces using Vector calculus?? HELP...
Feb28-13 09:50 AM
HallsofIvy
1 482
Dear Members, I would like to ask if we plot the Roll data of a satellite in degrees vs. the time, and if we take...
Feb27-13 07:57 AM
hamzaaaa
3 446
I can't find anywhere an example that shows how to solve a generic non-linear system of equations with the Bisection...
Feb27-13 10:56 AM
matteo86bo
0 422
Hi, I'm trying to find \iint_S \sqrt{1-\left(\frac{x}{a}\right)^2 -\left(\frac{y}{b}\right)^2} dS where S...
Feb27-13 06:10 PM
nickthequick
3 534
So, it seems that in a real-valued setting, the limit and the derivative of a real-valued function is defined only if...
Feb28-13 12:49 AM
joeblow
3 566
Is there a visual way to represent this theorem? Like Riemanns rules with rectangles and trapezoids? I know the clear...
Feb27-13 08:47 PM
JNeutron2186
3 475
How would one go about computing the following improper integral, with limits of integration \int exp(x+1/x)/x
Feb28-13 06:24 PM
eyesontheball1
4 623
I'm trying to show the following: \lim_{(x,y) \to (0,0)} \frac{x^2 + \sin^2 y}{x^2 + y^2} = 1. One can show...
Feb27-13 11:57 PM
jbunniii
3 515
I was bored and decide to make a function (yes, i am a bit weird). So I came up with this: f(x)=2x+3 g(f)= f+2...
Feb28-13 07:20 PM
QuantumPixel
3 723
Hello, So I am trying to understand surface integrals so I can can more insight to understand Gauss's Law. I am...
Mar1-13 08:08 PM
Chestermiller
8 1,145
So I have been thinking of this problem... what is the greatest rate of angle change for a function? As in, what is...
Feb28-13 01:52 AM
pwsnafu
1 567
Hi members, I have a problem with fourier transforms. There are two attached Pdf files. My questions are on...
Feb28-13 04:21 PM
HallsofIvy
1 489
I have given a function g(t)=∇(f(x(t))) , f: IR³->IR and x: IR-> IR³ and want to express the first 3 derivatives with...
Feb28-13 04:19 PM
Gavroy
2 404
Dear members, After thinking about the question I found the solution so I think?? The only doubt I have is why...
Mar1-13 06:59 AM
Belgium 12
0 457
Evaluate the following integral: \int_0^{∞} \frac{e^{-(x+x^{-1})}}{x}dx
Mar2-13 07:54 AM
eyesontheball1
7 793
I am a bit confused over something that should be relatively easy to research , however, I am having a hard time...
Mar4-13 09:35 AM
runningninja
1 476
Hi I'm currently studying Electromagnetism, and we keep coming across this symbol: \oint A closed line integral,...
Mar4-13 09:46 AM
Vargo
5 732
I know derivative of displacement gives you velocity, and dv/dt=a. And I know the integral of a is v and the integral...
Mar3-13 10:44 PM
Simon Bridge
1 1,469

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