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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 45,358
So I have a function which represents motion. This function is x^2 which is also the area of a square. Now, what I...
May17-13 07:33 PM
17 1,029
I'm thinking in particular about Lenny Susskind's lectures, but I've seen other lecturers do it too. They'll be...
May10-13 05:24 AM
1 671
I dont get it guys. 100% on all the quizes and homework. 42% on the final.... Deptartment policy is that you have to...
May12-13 09:21 PM
Simon Bridge
13 1,049
Hey guys. So, I'm in an Analysis class and we're at the section on Riemann integrals. I get the theory and the...
May12-13 11:45 AM
0 621
I have an oil spill that spills out at a rate of 100 ft per second. I need to find the rate of change of the radius at...
May16-13 12:09 AM
1 461
So I know that the derivative of the area of a circle is 2∏r or the circumference, and that the derivative of the area...
May16-13 05:47 AM
10 843
Hey guys, I know what polynomials are but what I really don't understand is the way you are able to find the equation...
May17-13 09:17 PM
9 683
If we take the variation of a functional of some function \phi(x_1,...,x_n) with \partial_{j}\phi being the partial...
May15-13 10:53 AM
1 591
I am trying to solve a function using Solve in mathmatica. I am solving for multiple constants. Can i use a solve...
May13-13 01:52 PM
Bill Simpson
7 880
eg. Find the directional derivative of the function phi=xyz^2 at the point (1,2,3). Actually what is the math used...
May15-13 11:34 PM
6 1,187
I've come across this funny problem while messing around with integration by parts. Probably made a mistake somewhere....
May15-13 03:02 PM
1 491
Dyadic Cube C_{k,N} = X \in\ \mathbb{R}^{n} \frac{k_{i}}{2^{N}} \leq x_{i} < \frac{k_{i}+1}{2^{N}} for 1 \leq i \leq...
May15-13 08:00 PM
2 584
For arbitrary positive numbers ##\epsilon## and ##\delta## we know that ##0<\delta<\epsilon## such that...
May18-13 03:08 PM
4 499
Assume n\in\mathbb{N} and r\in\mathbb{R} are some fixed constants and r>0. I want to find some nice lower bound for...
May14-13 12:27 PM
0 466
Hi, If we have f(x) is log-concave in x, can we show that the following inequality is true? Or can we find some...
May14-13 11:28 AM
0 405
I have asked a similar question but it wasn't answered fully so here it goes. Why is it that you only need two points...
May17-13 08:06 PM
1 500
Is f(x)=\sin\;\hbox{ and }\; g(x)=\sin Both EVEN function? It looks even function to me even though it's a...
May11-13 11:37 AM
3 499
I've looked examples up online and I just can't figure out what to do exactly when I have (2x^2)/(x^2+1), for some...
May13-13 09:11 PM
2 501
Hi, a naive question here, but I was wondering if the series \sum^{∞}_{k=0} k a^{k} has a particular name? As in...
May11-13 02:06 AM
2 545
Hello, Given is the function f = f(a,b,t), where a=a(b) and b = b(t). Need to express first and second order...
May13-13 08:58 AM
2 640
Hi, I'm reading an article that has a sentence saying "where P is a function of period unity.". Here. I've...
May15-13 02:11 PM
2 490
Hello all, I am re-teaching myself calculus (I don't remember anything from Calculus in college, and I only took...
May16-13 10:15 PM
14 923
I am trying to make an mathmatical equation which can calculate the length of the wire, which is wounded around a a...
May13-13 12:21 AM
2 381
Hi guys I am trying to come up with an equation to solve for a break even point. Basically I have an initial outlay of...
May12-13 08:28 PM
0 350
Let's start with: $$ \int \frac{dx}{1+x^2} = \arctan x + C $$ This is achieved with a basic trig substitution....
May12-13 08:53 PM
6 687
My question is relatively breif: is it true that \displaystyle \lim_{n \rightarrow \infty}(\varphi(n))=\lim_{n...
May4-13 06:04 PM
4 994
And what is the justification to consider or not to consider dy=dx? -An Engineer, Weak in Calculus
May7-13 12:38 PM
7 1,212
I was reading a paper the other day that made the following claim, and provided no reference for the assertion. I...
May5-13 08:00 PM
3 755
I'm having trouble understanding this. Suppose I have a sum ##\displaystyle \sum_{i=1}^{n}\left##, where f(t)...
May4-13 04:32 PM
2 483
I was wondering how you prove that ∫(e^iax)(e^ibx)dx from minus infinity to infinity is zero. When I try to evaluate...
May4-13 12:51 PM
2 1,409
I have this equation 1/(r^2+l^2)^(3/2) and I need to integrate it quickly. My first thought is using this integral...
May13-13 02:01 AM
Simon Bridge
7 529
Hi, So f(x,y) = xe-x(y2 - 4y) Find all stationary points and classify them i got for fx(x,y) s.p (1,4),(1,0)...
May10-13 05:19 PM
2 592
Minimizing a functional: When you know the values of the function y(x) on the boundary points y(x1) and y(x2),...
May7-13 07:59 AM
5 739
I'm testing an algorithm to find the global mimina of a function. Can someone give me a few examples of optimization...
May9-13 07:37 PM
1 627
1. The problem statement, all variables and given/known data Well, this thread is purposely to clarify my question...
May9-13 12:34 PM
3 951
If I have ln(e^(-8.336/10c)) wouldn't that be the same as ln(e^(1/(8.336/10c))) therefore = 1/(8.336/10c) = 10c/8.336?...
May9-13 10:31 AM
3 527
I'm noticing wolfram alpha has the amazing ability to analytically solve \sum_{n=1}^{\infty} \frac{1}{n^2 + a^2} ...
May9-13 09:27 AM
6 729
How can I get the improper integral ## \int_0^{\infty}\frac{1}{x(1+x^2)}\,dx ## First thing I tried was...
May9-13 02:45 PM
4 604
Newton and Leibniz both had a method of differentiating. Newton had fluxions and Leibniz had something that resembles...
May9-13 07:40 PM
4 728
Hi I am currently working on a project, and I need to calculate the definite triple integral of 1/|x+y+z|. i.e: ...
May9-13 02:49 PM
4 644

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