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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 46,276
I have seen in some textbooks that the value of integrals are treated differently. In one textbook it said to...
Jun24-11 08:42 AM
Stephen Tashi
4 937
I'm trying to understand why monotone functions can only have jump discontinuities. I've seen formal proofs, but I...
Jun24-11 08:43 AM
lugita15
3 1,960
Is there any difference between a limit that is undefined and a "does not exist"? From what I think, Undefined...
Jun24-11 09:22 AM
BloodyFrozen
2 1,940
Hi, I know that to approximate the divergence of a vector, when you have two nodes on two sides of a face, say:...
Jun24-11 11:32 AM
hoomanya
0 512
Say I have the Fourier Transform, F, of a Gaussian function, ...
Jun24-11 01:02 PM
Spinnor
0 1,389
This discussion is that of converting infinite series to infinite products and vice-versa in hopes of, say, ending the...
Jun24-11 01:36 PM
Planck37
3 11,282
There are line integral with respect to arc length and line integral with respect x/y. I know \int_C Pdx+Qdy is...
Jun24-11 05:25 PM
LCKurtz
1 567
Find the limit of (4kx + 9)/(45x + 3) as x->inf, when K=5, K<5, K>5. Answer: I divided each term by the highest...
Jun24-11 06:47 PM
MurdocJensen
5 774
A book on which I am studying (Arfken: Mathematical Methods for Physicists), uses the following result in order to...
Jun25-11 05:56 AM
bruno67
2 977
I was reading Spivak's Calculus on Manifolds and in chapter 1, section 2, dealing with compactness of sets he mentions...
Jun25-11 08:03 AM
HallsofIvy
5 1,138
I am trying to calculate an integral of the form I=\int_{0}^{\infty}\exp(iax)\frac{(x^2+b^2)^{-c}}{x+id}dx, ...
Jun25-11 10:08 AM
nonequilibrium
5 1,604
How do I calculate the integral \int_{ix}^{i\infty} e^{-t} t^{-s-1}dt, where x>0, s>0? Mathematica gives...
Jun25-11 07:07 PM
Mute
2 817
I'm trying to find the general form for the nth derivative of f(x) = \frac{1}{x^m \log x} where m can be...
Jun25-11 08:23 PM
rsq_a
0 841
Dear all, I want to solve the Volterra integral equation (of 2nd kind). But I only need to solve it analytically...
Jun26-11 02:30 PM
perr
6 863
let be a rational function of 'n' variables \frac{P(x1,x2,.....,xn)}{Q(x1,x2,.....,xn)}=R(x1,x2,x3,..,xn) then...
Jun26-11 04:10 PM
zetafunction
0 517
lim as x -> 0, 1/2-2]/x That's the limit I want to evaluate. I keep running into problems getting to the real...
Jun26-11 06:03 PM
MurdocJensen
8 1,359
Dear all, Please help me to prove the Fourier expansion for three different cases as follows. I need some help to...
Jun26-11 07:06 PM
kaizen.moto
4 886
Prof. Putinar, Guillera & Sondow gave e^{x}=\prod_{n=1}^{\infty}\left(\prod_{k=1}^{n}...
Jun27-11 01:08 AM
benorin
3 2,253
(Hopefully, this question falls under analysis. I was unable to match it well with any of the forums.) The proof...
Jun27-11 05:57 AM
HallsofIvy
6 1,584
Suppose f \in L^{4/3}(\mathbb{R}^2) and denote its Fourier transform by \mathscr{F}(f). Is it true that the function...
Jun27-11 06:16 AM
feynman456
0 689
This is a problem related to julia sets but its more of a mathematical problem so I posted it here. x= x^2 - 2 ...
Jun27-11 12:35 PM
gursimran
2 870
Very simple question: Let x^0,x^1,...,x^n be some fixed coordinate system, so that the infinitesimal volume element...
Jun27-11 12:49 PM
HallsofIvy
2 1,034
Could someone kindly explain whether the 90 degree phase difference between sine & cosine functions contribute to the...
Jun28-11 12:07 PM
LCKurtz
1 1,084
Hi, Just a simple, quick question: Does the gradient of a vector give a scalor or a vector? Thanks!
Jun28-11 12:42 PM
qbert
4 858
While reviewing basic calculus, I noticed that the curve (1+t^2,t^2,t^3), which clearly has a cusp at (1,0,0), has a...
Jun28-11 04:42 PM
LCKurtz
4 1,416
Hi, Say you want to use a proof by contradiction to prove that a sequence diverges. So you assume that x(n)----->...
Jun29-11 03:20 AM
SteveL27
4 1,037
My class, teacher included, cannot seem to figure out the integral of the square root of tan x. Maybe someone here...
Jun29-11 03:30 AM
julianze
36 43,379
The implications of Heine Borel Thm are not immediate to me. Any results are derived from this theorem?
Jun29-11 11:31 AM
micromass
1 1,085
I'm looking for a convergent sequence s_n such that: lim_{n\rightarrow\infty}n(s_n-s_{n-1})=\infty I've already...
Jun29-11 01:58 PM
LCKurtz
6 1,103
hey. I used to be quite talented at math, but I've let my talent deteriorate in the ~10 years since my last...
Jun29-11 03:12 PM
I like Serena
2 1,201
This is what I want to say: The squeeze theorem may be used when direct substitution and factoring (or...
Jun29-11 06:44 PM
MurdocJensen
0 922
http://imageshack.us/photo/my-images/835/mathproblem.jpg/ I was thinking of an interesting shape (I drew it in...
Jun29-11 08:57 PM
Sczisnad
4 1,081
So sorry if this has been discussed elsewhere before. I know it may be trivial but for some reason I just can't get...
Jun29-11 10:01 PM
andryd9
3 1,282
Hi everyone, I have been studying "Optimization by Vector Space Methods", written by David Luenberger and I am...
Jun30-11 05:52 AM
Fredrik
4 1,428
When we integrate a scalar map over a manifold M, what exactly are we measuring? If M is the unit circle in R^2,...
Jun30-11 11:02 AM
JG89
5 1,417
Hi everybody, Please help me to find supremum & infimum of the set of rational numbers between √2 to √3 (ie) sup...
Jun30-11 06:13 PM
mathman
2 1,634
I'm asked to use Rouche's Theorem to prove Liouville's - I really don't have much of a clue as proofs are not my...
Jul1-11 02:27 AM
hunt_mat
1 1,990
as a physicist , there are some integrals in several variables that are DIVERGENT in order to regularize them i...
Jul1-11 05:35 AM
zetafunction
0 997
I know, I know, this topic has already been beat to death, but I'm still having a hard time understanding it despite...
Jul1-11 03:33 PM
Fredrik
15 5,323
I don't get the permutation problem about phone numbers...where i can use the same number for several times......or...
Jul1-11 09:56 PM
Ashwin_Kumar
4 1,024

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