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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 46,282
Though this problem came to me when studying thermodynamics, it's purely mathematical and seems to be easy, but I'm...
May31-11 09:03 PM
Hobold
1 1,096
Given an equation in the form 0 = ax2 + bx + c, why is it not possible to simply differentiate both sides, and produce...
May31-11 06:56 PM
lavinia
18 3,815
You know how some integrals can't be solved. But is it possible to solve some of these integrals by rotation of axis...
May31-11 01:22 PM
cragar
17 1,622
can anybody tell me the expansion for the divergence of tensor vector product \nabla.(\tilde{K}.\vec{b}) for the...
May31-11 12:43 PM
tiny-tim
1 1,934
Im curios as to why the inquality is ||x+y||\leq||X||+||y|| but the end of the proof is =(||x||+||Y||)^2 ...
May31-11 04:42 AM
3.1415926535
1 1,151
My question is how to compute R(dx). But before I can ask that I have to write down the background to my problem, so...
May30-11 04:14 PM
I like Serena
17 1,275
Hi, have worked out the formula for a hyperbolic spiral space curve to be r(t)=1/t X cos(alpha)+1/t X sine(alpha) + t...
May30-11 03:54 PM
trustthrust
2 1,028
I'm trying to learn some analysis on my own, and as this is the first proof-based book I'm reading, I have a basic...
May30-11 12:45 PM
TylerH
3 1,467
Here's what I have >Integral:=proc(f,i) local JExact,S,R,E; JExact:=int(f,x=0..1); ...
May29-11 10:56 PM
iFargle
1 1,189
Hi, so this morning I made an attempt at this... With javascript (website programming language) I was able to...
May29-11 03:54 PM
mburt
2 2,080
In analysis we were shown the existence of non-Lebesgue measurable sets (eg a choice function over the rational...
May29-11 03:06 PM
dimitri151
2 1,112
This question is directed toward people who have a copy of the text--in other words, I'm too lazy to retype the whole...
May28-11 08:57 PM
micromass
3 1,968
Hi, I'm looking at a past paper for an exam I have on Tuesday and I'm struggling to understand this question on exact...
May28-11 05:35 PM
spamiam
1 1,004
I know that if \forall x \in E \subset \mathbb{R}^n we have f(x) \le g(x) then it is true that \int_E f \le...
May28-11 01:37 PM
micromass
3 1,055
Hey guys, I have a quick question. Suppose we have a function f that is integrable over a set S \subset...
May28-11 11:39 AM
JG89
6 1,076
the support of a function is defined as the closure of the set where f is nonzero my question is why not just...
May28-11 01:52 AM
Stephen Tashi
2 859
I am trying to understand wikipedia's definition of convolution: http://en.wikipedia.org/wiki/Convolution#Definition ....
May27-11 08:52 PM
paulfr
5 2,376
I am studying a problem that want's me to show that differentiable function at z0 is continuous at z0 = x0 + iy0. It...
May27-11 07:37 PM
Hodgey8806
6 2,795
Hi everyone! Here's my problem: Let's suppose that we have a functional I=\int{L(f,\dot{f},g,\dot{g},x)\,dx}. ...
May27-11 12:37 PM
lennyleonard
6 1,783
I'm reading this journal article and they keep on using the notation \int_{R^d} What does this mean, just say...
May27-11 07:33 AM
cernlife
2 1,181
I'm interested how to solve the following problem: if we have a triangle, where a,b,c are sides of that triangle and...
May27-11 03:28 AM
Chuckster
6 1,489
i'm battling unsuccessfully to find a delta epsilon proof for continuity of exponential function. this is what i've...
May26-11 09:19 PM
dimitri151
23 5,285
I know the derivative is cosx but I don't know what to do. So I get the derivative of sinx down to:...
May26-11 09:17 PM
iRaid
3 907
I'm trying to evaluate the derivative of the Riemann zeta function at the origin, \zeta'(0), starting from its...
May26-11 07:45 PM
TriTertButoxy
7 2,717
given the function arg\xi(1/2+is) is this an increasing function of 's' ?? , i mean if its derivative is...
May26-11 05:05 PM
henry_m
1 801
This is not a bookquestion by far. It does have a nice solution, but I am stumpled on how to get it ...
May26-11 08:27 AM
Nebuchadnezza
5 954
There the well known theorem that every open set (I'm talking about R here with standard topology) is the union of...
May25-11 09:03 PM
dimitri151
6 3,366
1) Fact: Let X be a metric space. Then the set X is open in X. Also, the empty set is open in X. Why?? 2)...
May25-11 03:11 PM
jbunniii
10 5,429
Hi, I want to know if there's a general method of changing variables of a function and reduce the original number of...
May25-11 02:45 PM
Jaynte
1 884
Hi, this is a very basic question. I want to know why are implicit functions used, when the purpose of functions is to...
May25-11 02:15 PM
Tosh5457
10 2,180
I hope this is the right place to post this question. I saw this equation on a car's back windshield. I don't know...
May25-11 11:17 AM
arildno
3 722
Fix some constant 0<\alpha \leq 1, and denote the floor function by x\mapsto . The conjecture is that there exists a...
May25-11 07:44 AM
micromass
3 1,195
I consider an array of lattice points and construct a vector at each lattice points. How to convert this discrete...
May25-11 12:40 AM
saravanan13
2 938
In the Tsiolkovsky rocket equation derivation there is a part that says: \frac{dV}{dt} = -\upsilon_e \frac{1}{m}...
May24-11 07:36 PM
LogicalTime
6 2,791
Nevermind I figured it out ec{w}?
May24-11 07:20 PM
Gebraroest
0 568
Ok, So i have a problem understanding conflicting results of a derivative, Consider the derivative of x2, which is...
May24-11 06:19 PM
gb7nash
4 1,404
I am trying to calculate the following integral I=\int_0^\infty\frac{x}{(x+ia)^2}...
May24-11 12:21 PM
JJacquelin
14 2,166
\int_{-\infty}^{+\infty}\frac{e^{-x^2}}{\sqrt{x^2+1}}dx I calculated it numerically, but I need an exact number....
May24-11 09:54 AM
DivisionByZro
3 1,017
Hi guys, I've been doing past paper questions for an exam and I've gotten stuck with the limits of an integral. We...
May24-11 08:21 AM
tiny-tim
5 917
As well known, for any topological space (X,T), there is a smallest measurable space (X,M) such that T\subset M. We...
May23-11 06:29 PM
linulysses
9 1,693

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