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- 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
1 46,275
I am looking at the derivation of the capstan friction equation and there is a term in there which the derivation...
Sep12-12 08:05 AM
6 1,529
Hey, I'm going over series expansions and was wondering if someone could check my work and tell me if my work is...
Apr26-12 05:35 AM
2 950
Hey, how do I determine whether or not points lie in a straight line? Is there a symbolic approach to determining so?...
May23-12 07:57 AM
8 3,858
How do you integrate 2exp(1-x).dx? The expression describes the cumulative number of cells as a function of cell...
Jul14-10 08:38 AM
1 1,780
-------------------------------------------------------------------------------- Ok this is the question I had on a...
Nov4-04 12:14 PM
matt grime
1 931
Can somebody please explain to me why sin(x+h) = sinxcosh + cosxsinh in detail.
Oct29-04 07:07 AM
matt grime
3 883
kindly make h or d the subject of the formula y={1/2pi(d-h)}ln(d/h) thank u Moderation Note: e-mail address...
Dec5-08 10:08 AM
1 1,021
Can anyone explain me how to solve this
May5-11 05:34 PM
1 1,054
is this relashion true? or false? if it is true how can I proof it? (-i)^(-m) = cos((m*pi)/2)+i*sin((m*pi)/2)
Sep24-09 10:52 AM
3 633
The integral of e is e right? So if you were to take the integral of 24+e^(5t) (acceleration), it would be 24t+e^(5t)...
Jun29-06 08:41 AM
4 97,408
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
1 1,327
Forgive the basic question but my Google Fu isn't strong enough in math. I understand that for constant velocity...
Apr7-12 04:24 PM
7 1,021
Let a,b,x,y\in\mathbb{R} and f\left(a,b\right)=...
Oct5-10 04:28 PM
0 680
Let a,b,x,y\in\mathbb{R} and f\left(a,b\right)=...
Oct6-10 07:26 AM
0 670
If anyone can help i seem to have reached a breakdown somewhere down the line or am simply lacking in some knowledge...
Sep6-12 09:49 PM
4 1,030
Are inflection points critical points? and what about at the value that f(x) undefined? Is that critical point too?
Nov4-12 03:25 PM
2 606
We know that d(cos^-1 (x/a))/dx = -1/sqrt(a^2 - x^2) (assuming a and x are positive) So...Why the integral of...
Dec17-12 01:16 PM
6 1,099
i know if every simple closed curve in D can be contracted to a point it is simply connected as in the case of|R^2...
Mar7-10 10:21 PM
1 448
Is the following proof that the rationals are dense in the reals valid? Theorem: \forall x,y\in\mathbb{R}:x<y,...
Jun19-11 03:50 AM
7 2,535
Is it true that finite sets don't have limit points?
Jun21-11 02:10 AM
6 788
How did Newton's original formulation of Calculus look like? I've heard that it was more intuitive and fun than the...
Jul9-11 10:16 AM
6 1,816
Is there an elegant and simple proof of the Chain Rule? Every proof I've found is complex and mind-boggling
Aug10-11 12:56 AM
I like Serena
25 3,931
In Wikipedia, it is said that \mathrm dy=\frac{\mathrm dy}{\mathrm dx}\mathrm dx. Can we divide both sides by...
Aug26-11 06:48 AM
11 1,146
Hi all, I need answers and EXPLANATION to the following problems: (Please Help!) (i) f : N --> N defined by f(x) =...
Sep19-09 02:59 AM
1 645
Hey all, can you check out this site In the very first...
Jan29-09 03:10 PM
1 996
Hi all, I'm doing some reading on hyper-spheres. I am curious why the volume of n1 hypersphere (a line segment)...
Feb4-09 02:02 PM
Damascus Road
0 995
Hi! Sorry if this is a bit trivial, I was wondering if there is a way of converting a series ...
Jan9-10 03:14 PM
1 2,780
Is it true that \int_0^1 f(x) dx \in \mathbb{Q} \Rightarrow \int_0^1 x f(x) dx \in \mathbb{Q} ? (Suppose ...
Sep1-11 01:04 PM
4 1,069
I think I'm not understanding something here: A point L \in \mathbb{R} is a limit point of a sequence a_n if exists...
Sep14-11 01:06 PM
5 2,509
I have read somewhere that we can extend the notion of a series of a sequence \sum_{i=1}^{\infty} a_n to sums over...
Nov13-11 10:35 AM
3 1,515
I was reading this article of wikipedia: Conditional and absolute convergence It says: "An absolutely...
Nov25-11 04:54 PM
4 1,578
I read that an alternating series \Sigma (-1)^n a_n converges if "and only if" the sequence a_n is both monotonous...
Nov30-11 01:06 PM
2 916
I'm studing the Riemann-Stieltjes integral \int_a^b f dg on closed intervals of the real line, and the natural...
Dec9-11 03:31 PM
1 1,234
I know that this function f : \to \mathbb{R} f(x) = \begin{cases} 1 & \textrm{ if } x \geq 0 \\ 0 & \textrm{ if }...
Dec9-11 10:26 AM
Stephen Tashi
1 866
Let f(x,y) = ( \frac{-y}{x^2 + y^2}, \frac{x}{x^2 + y^2}) with f : D \subset \mathbb{R}^2 \to \mathbb{R}^2 I...
Dec24-11 07:13 AM
3 1,243
Hi, I'm trying to fix in my head a very precise definition of what to mean for an euclidean space, as we use it in...
Dec30-11 06:04 PM
23 2,443
I am teaching a student in a course without partial differentiation so I can only think of the following method let...
Sep29-06 06:59 PM
Damned charming :)
0 2,343
If t is constant then both cos(t +x) + i sin(t+x) and * both satisfy the differential equation dy/dx = i y and...
Oct22-06 11:28 PM
Damned charming :)
0 1,256
Hi All, This is not a homework question, I am just trying to be come quicker at integrating by parts, when...
Mar4-11 06:12 PM
4 1,260
I am reading through a worked example of the Taylor series expansion of Sinh(z) about z=j*Pi The example states: ...
Nov20-11 05:38 AM
3 1,884

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