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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 40,137
Hi, I'm having trouble determining this limit: \lim_{x\rightarrow0^+}\frac{\sqrt{x}\sin\sqrt{x}}{1-e^{-x}} ...
Aug16-05 07:44 AM
HallsofIvy
18 2,154
Expired Thread...
Aug16-05 12:41 AM
lurflurf
1 1,701
i am confused on this one.....my friend told me that as x->0 ,(sinx)/x tends to 1 from left hand side.......similarly...
Aug15-05 09:55 PM
lurflurf
3 908
Hello. I didn't know if this is the right forum to post this (since this is the Calculus section and my question...
Aug14-05 07:09 PM
relinquished™
6 1,141
let be the double integral: \int_0^{\infty}dx\frac{f(x)}{x^{a}}\int_{-\infty}^{\infty}dyG(x+y)y^{-ib}=0 (1) a and b...
Aug14-05 03:18 PM
eljose
0 965
I want to know some examples of an infinite set S with a least upper bound that is not an accumulation point of S. Is...
Aug14-05 06:54 AM
irony of truth
7 1,282
I want to let f and g be functions to be defined on a common domain D. Then the maximum and minimum functions are...
Aug14-05 04:01 AM
irony of truth
9 1,573
Any Calculus researchers interested in disproving this theorem with a simple base and function? Orion1 change of...
Aug14-05 01:34 AM
Orion1
2 1,758
I know how to work highschool level calculus and such, but I don't feel like I have a very intuitive understanding of...
Aug13-05 05:08 PM
SplinterIon
20 3,711
i'm trying to solve an equation, but i'm stuck on this step: (integral sign) e^2x*e^x(3sin2x+2cos2x)dx =?
Aug13-05 02:28 AM
asdf1
6 956
If I were proving that "if x is an accumulation point of set S and e >0, then there are infinite number of points...
Aug12-05 02:15 PM
rachmaninoff
4 1,103
Dear members, I try to find the upper bound of the following function. Can anybody gives a hint? Thanks! ...
Aug12-05 06:43 AM
phonic
0 6,323
can someone show me how to do this integral: \int \frac{(1-x)}{x^2} e^{x-1} dx
Aug12-05 01:26 AM
GCT
2 943
Hi guys. I was doing a SAC and there were two questions one was y=\frac {1}{X^2}-1 and the other was y=\frac...
Aug11-05 09:30 AM
bayan
4 1,150
Question, Evaluate: \sum_{k=1}^{\ 6}\ f(xk) where \ xk\ = \ k/2 and \ f(x)=sin\pi\ x OK, does this mean that...
Aug10-05 05:37 PM
Maxos
3 1,455
Hello, it's me again ;) Problem: ------- Define f_{n}(x)=n^{\alpha}, |x|\leq 1/n, f_{n}=0 elsewhere Give...
Aug10-05 06:27 AM
Theraven1982
2 4,395
Has anyone read Cours d'analyse mathématique (Course in Mathematical Analysis)? If you have, do you find some the the...
Aug9-05 07:36 PM
fourier jr
15 1,797
Stewart uses the chain rule to show how to find the tangent to parametric curves. Given: x=f(t) and y=g(t), and...
Aug9-05 03:31 PM
Cyrus
14 2,427
Can someone please help me in evaluating the following integral? Im really bad with trig functions, and have been...
Aug9-05 11:35 AM
dx/dy=?
6 2,511
A few weeks ago, I was rereading my multivariable calculus textbook, because I've recently studied linear algebra and...
Aug9-05 11:29 AM
mathwonk
16 2,883
I'm trying to solve this problem: Compute \oint_c(y+z)dx + (z-x)dy + (x-y)dz using Stoke's theorem, where c is the...
Aug9-05 08:31 AM
HallsofIvy
1 1,268
Howdy felles. I have a question which I find rather confusing, and that is to prove that the area between two...
Aug9-05 04:36 AM
VietDao29
9 3,142
While working on a problem in special relativity I ran into the following equation and am trying to understand it...
Aug8-05 02:47 PM
mmwave
1 2,521
Hello, I'm trying to calculate the following integral, in the limit that n goes to infinity: \int_{1}^{\infty}...
Aug8-05 02:37 PM
Theraven1982
11 1,405
hello all. Im a bit stuck on a math problem. I am trying to figure out what the parametric equations of a trajectory...
Aug8-05 08:25 AM
HallsofIvy
1 906
Question 1 Prove that if (V, \|\cdot\|) is a normed vector space, then \left| \|x\| - \|y\| \right| \leq...
Aug8-05 07:00 AM
Oxymoron
13 1,424
Hey, everyone I am working on a calc problem, and I have no idea where to start. The integral is e^x...
Aug7-05 08:10 PM
LeonhardEuler
21 1,686
It's a really interesting equation. I'm not sure how it works out though. On a similar note, when I raise a whole...
Aug7-05 05:05 PM
SteveRives
18 2,630
To integrate functions as the limit of an integral sum, how can we know which way to take the partition points in the...
Aug7-05 04:51 PM
matt grime
3 4,855
Hi Just had a question. Assuming tan(x) is given by a power series with coefficiants (An). How can it be shown...
Aug7-05 01:29 PM
complexhuman
2 1,213
Let define the function Z(x)=\Gamma(x)2^{1-x}\pi^{-x}cos(x\pi/2) then my question is if =1= with =a^2+b^^2...
Aug7-05 10:46 AM
shmoe
2 1,443
i know that zeta(2) = pi^2/6 and zeta(4) = pi^4/90 what is zeta(3)? can i use fourier series?
Aug6-05 11:40 PM
shmoe
4 1,552
The following is an outgrowth from a problem I encountered in the Homework section concerning the convergence of: ...
Aug6-05 05:58 PM
mathman
13 1,123
Equation1: \frac{d^2}{dx^2} (x^n) = \frac{d}{dx} \left The LHS for Equation1 is the symbolic condensed version...
Aug6-05 05:16 PM
iNCREDiBLE
4 1,817
hi felles. I am trying to find what is the volume of the y=\frac{a}{x^2}+b is when it is rotated in y-axis. The...
Aug6-05 04:42 PM
Orion1
3 1,214
I know basic calculus such as derivatives and integration. Before school starts, I would like to get prepared for my...
Aug5-05 11:52 PM
sniffer
5 1,517
For the proof of lagrange multipliers, it is based on the assumption that the function you are optimizing, f(x,y,z),...
Aug5-05 04:23 PM
matt grime
11 2,151
I'm working on a problem that I've almost completed except for a single integral that I can't seem to figure out. I...
Aug5-05 03:33 PM
tomkeus
11 2,425
Im supposed to solve integral 10 to +infinity ((sin(1/x)/(1+x^3))dx with error precision of e=0.5*10^-4. Can someone...
Aug5-05 01:31 PM
undefined83
1 1,895
I am seeking a function r=r(\eta) for a computational mesh. It has to have the same shape as the one shown in the...
Aug5-05 09:03 AM
Clausius2
0 1,068

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