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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 45,414
If f : Rn -> R is Lebesgue measurable on Rn, prove that the function F : Rn * Rn -> R de fined by F(x, y) = f(x - y)...
May20-11 09:48 AM
Eynstone
3 1,285
In a book I'm reading, it says: If beta is orthogonal to the set A, then beta is orthogonal to the closure of the...
May20-11 08:26 AM
micromass
4 1,008
Most of the time I can visualise whether some solids of revolution are annulous or not but sometimes I just don't see...
May20-11 07:04 AM
kr73114
4 1,172
How do I find the Laurent expansion of a function containing the principal branch cut of the nth root? Example:...
May20-11 06:59 AM
HallsofIvy
4 2,054
I understand that the limit of the sum of two sequences equals the sum of the sequences' limis: \displaysyle...
May20-11 01:32 AM
dimitri151
6 5,843
Hi there, I'm really ashamed of doing this stupid question but I really need help with this thing. And, even if it's...
May19-11 09:35 AM
matteo86bo
2 897
let be the Fourier transform G(s) = \int_{-\infty}^{\infty}dxf(x)exp(isx) with the properties f(x) and ...
May19-11 05:46 AM
henry_m
1 785
I came across in a journal that for a \nabla\times A=0 where A is vector, if y-component of that A is uniform then...
May19-11 05:13 AM
henry_m
6 1,750
I have been deriving a formula from physics. Anyway, I came across a equation that goes by the form y = exp(1/(xy))...
May18-11 08:58 PM
dm164
2 1,026
So, in integrals that lead to inverse hyperbolics and can be solved with trigonometric substitution i just get lost. I...
May18-11 04:37 PM
coelho
2 987
let f: X\rightarrow be a positive, measurable function on a sigma-finite measure space (X,A,u). If p>0, show that ...
May18-11 04:31 PM
justin_huang
0 671
can a function in ONE dimension have NO inverse ?? i mean if given the inverse function f^{-1} (x) = g(x) +...
May18-11 12:48 PM
lavinia
4 1,041
A book I'm reading now says the graph of f(x)=1/x is a closed set, how come?? Its range is . A set is closed iff...
May18-11 12:29 PM
spamiam
4 2,024
I'm trying to take the derivative of a min function. I have some function that depends on the variable x and a...
May18-11 07:26 AM
chanttd
3 6,486
1. a sequence in R having no convergence subsequence 2. nonconvergent sequence in R such that the set of limit...
May18-11 01:10 AM
JG89
3 799
Hi, I'm trying to find the book Differential and Integral Calculus by Gregor M. Fikhtenholz, however I've only found...
May17-11 08:43 PM
fgyamauti
0 653
Can someone help me prove the identity \ u \times (\nabla \times u) = \nabla(u^2 /2) - (u.\nabla)u without...
May17-11 07:05 PM
henry_m
7 2,293
I'm currently reviewing calculus that I learned 10 years ago, because I will be resuming an electrical engineering...
May17-11 05:13 PM
Nebuchadnezza
4 971
I came across this problem + solution: http://imageshack.us/m/715/2962/inteyk.png but I don't understand the...
May17-11 03:33 PM
HallsofIvy
12 1,683
Hi, I am working on a project for my research and am need of some advice. My background is in computer engineering /...
May16-11 11:01 PM
Stephen Tashi
1 2,327
Recently I have been self teaching myself complex analysis. I am interested in the conformal mapping property of...
May16-11 05:08 PM
henry_m
3 1,234
Lee 2003: Introduction to Smooth Manifolds (...
May16-11 01:48 PM
Rasalhague
2 1,127
Show that the subsets of the plane are open: 1.) A= {(x,y)|-1<x<1,-1<y<1} 2.) C= {(x,y)|2<x2 + y 2<4} I have no...
May16-11 12:01 PM
dimitri151
7 4,515
If I'm lucky enough to pass Precalculus this semester, I'll be taking Calculus 1 next semester. Just out of curiosity,...
May15-11 12:32 AM
Bogrune
17 7,707
for example int. (1+x^2)^0.5 dx why do you use x= tan u i mean obviously because it works, but if you didn't know...
May14-11 03:35 PM
paulfr
7 2,338
Hello every one, now I'm dealing with a series a(k) = k^(-s)e^(-tk), s,t > 0 I want to find a continuous function to...
May14-11 04:35 AM
Char. Limit
8 1,975
Hi. I've been studying for a test and have been scouring my text for methods of proving points in 3-dimensional space...
May14-11 02:26 AM
paulfr
10 15,163
Hello The problem is find the value of \lambda for \lim_{n \to \infty} \frac{a_{n+1}}{a_n} \nonumber\ < 1, where ...
May13-11 10:26 PM
alejandrito29
2 655
Have I got the following definitions right. That's to say, do they express the idea behind "big oh" and "little oh"...
May13-11 11:23 AM
Rasalhague
2 1,156
So I'd like to start out by asking why the interchanging of limits is phrased in terms of the property of uniform...
May13-11 11:10 AM
micromass
1 1,035
I have difficulty in understanding why the differential d\varphi of a function \varphi: \eta \rightarrow F(\cdot,...
May13-11 10:42 AM
yifli
0 557
Hello! I am trying to transform a circle into a "quarter moon shape". This is that every point in the circle is...
May13-11 09:37 AM
Carol_m
5 1,079
\documentclass{article} \usepackage{amssymb,amsmath,amsbsy,amscd,fancyhdr} \usepackage{eucal} \usepackage{tikz}...
May12-11 11:06 PM
rbwang1225
8 1,265
I feel like I have gone pretty far in math now, but I keep finding myself asking the same question. Say I had a...
May12-11 02:22 PM
HallsofIvy
6 1,862
I am assuming that the solution was arrived at through integration by parts, however I am not able to completely work...
May12-11 08:36 AM
DiffusConfuse
4 1,047
Lee: Introduction to Smooth Manifolds, definition A.18: He then shows, by the chain rule, that D_vf(a_0)=...
May12-11 07:15 AM
Rasalhague
3 1,597
I have a question about the (ε, δ)-definition of limit lim x->a x^5=a^5 I know that |x^5-a^5|<ε and |x-a|<δ I...
May12-11 07:10 AM
HallsofIvy
4 2,155
Let's say I have a function that preservers ordering i.e if x<y then f(x)<f(y) for all x. Obviously it must follow...
May12-11 12:44 AM
Mark44
2 1,013
i want to compute the integral \iint_{D} f(x,y)dxdy here f(x,y) is a Rational function and the integral is...
May11-11 05:18 PM
henry_m
4 963
Let \vec w(t) \;,\; \vec v (t) be 3 space vectors that is a function of time t. I want to verify that: \frac...
May11-11 03:15 PM
yungman
4 874

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