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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 43,837
Let a,b,x,y\in\mathbb{R} and f\left(a,b\right)=...
Oct5-10 04:28 PM
0 629
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 1,005
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
2 587
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 1,074
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
1 438
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 2,482
Is it true that finite sets don't have limit points?
Jun21-11 02:10 AM
6 777
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 1,767
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 3,840
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 1,108
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
1 636
Hey all, can you check out this site In the very first...
Jan29-09 03:10 PM
1 985
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
0 981
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 2,749
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 1,039
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 2,441
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 1,466
I was reading this article of wikipedia: Conditional and absolute convergence It says: "An absolutely...
Nov25-11 04:54 PM
4 1,533
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
2 881
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 1,206
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
1 851
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 1,211
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 2,387
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 2,326
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 1,244
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 1,234
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 1,846
Hi!! I'm having a little problem with an exercise and I dunno how to sort it out. Basically what I have is a...
Aug30-11 08:46 AM
1 952
Hello users, I would like to know when do you use pattern recognition over integrals Someone told me it was that...
Jul3-13 01:03 PM
3 543
Hello users!,, What do you think about taking calculus 2 on summer??? Any of you have taken that course in summer?...
May29-13 07:04 PM
3 863
Hello users!,, What do you think about taking calculus 2 on summer??? Im studying/teaching myself , and I want to...
May31-13 07:10 PM
1 669
Do you need to know how to graph in order to establish which limit of an improper integrals is going to infinity??...
Jun14-13 10:52 PM
1 662
Hello users! Im taking calculus 2 for summer(staring in 3 weeks), and it's the first time I take the course. Im...
Jun29-13 08:32 AM
4 968
S is a portion of a curve with r(u,v) where 0 < u < 2 and 0 < v < 2pi I'm meant to calculate Flux of the vector...
Apr26-13 09:19 AM
2 648
Evaluate ∫∫R 5x2 + 2y2 where R is triangle (1,1) (2,0) (2,2) I see the lines bounding the triangle are y=x ...
Jan3-12 03:23 PM
5 1,622
Alright guys Im looking for some help with this problem regarding calculating total electric charge in a layer of...
Sep11-08 10:52 AM
4 1,830
Hi. I was just wondering, how can i prove the following identity: \frac{{dy}}{{dx}}\frac{{dx}}{{dy}} = 1 Its...
Jul15-07 08:14 AM
2 5,328
Hi. For an integral like this, for example: \int {\sqrt {1 - \cos ^2 x} dx} The most obvious way of solving...
Jul20-07 04:17 AM
3 11,198
Hi Guys, I am revising for an exam i have this week, the last module on my subject was calculus. I did not...
Jul19-14 11:01 PM
7 597
if we know the value of the divergence of a grident field at each point, div ( grad f ) = g, how can we compute the...
Apr17-09 04:41 PM
0 1,224

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