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- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 40,144
Hi folks, I'm trying to get from the established relation: $$ \int_{-\infty}^{\infty}...
Feb28-12 04:08 PM
3 918
I have begun to read about the hyperreals, and am wondering whether the natural extensions of real-valued functions to...
Feb28-12 03:32 PM
7 1,817
\int_0^1\expx^{-3/2}dx, where 0<x<1, a>0, b>0. I know there is no closed form, and it goes to infinity for some...
Feb28-12 09:16 AM
1 747
Hi all. Suppose that we want to compute the following indefinite integral: ...
Feb28-12 07:02 AM
1 919
Someone told me Isaac Newton developed some infinitesimal triangle series to find the area of a random blob, but I...
Feb27-12 08:13 PM
3 1,596
When I am reading the paper about Rayleigh instability, I found this type of expanding method. ...
Feb27-12 07:30 PM
4 950
Take a look at the following problem: "A rubber band with initial length L has one end tied to a wall. At t = 0,...
Feb27-12 10:37 AM
0 712
Hello there, I found in a book a proof of the fact the space of piecewise constant functions with a finite number...
Feb27-12 09:39 AM
0 730
Have you ever see any books discussing these problems? I don't know the name of these topic.
Feb27-12 07:58 AM
1 733
Lets say I want to integrate sin from 0 to pi The answer is 2 But how do visualize it in terms of the graph? ...
Feb27-12 06:09 AM
8 1,214
If a function is convex on (-\infty, \infty) then can we say that this function is continuous on (-\infty, \infty) ?
Feb27-12 04:53 AM
0 682
Hey All, I am trying to evaluate the limit: \lim_{x\to 0^{+}} \frac{\delta''(x)}{\delta''(x)} Where ...
Feb27-12 03:14 AM
3 1,065
So I don't understand why if you have something like U(x,y) = f(y+2x) and you take \frac{\partial U}{\partial x} ...
Feb26-12 11:19 PM
2 1,277
Hi, I have the following complicated integral willing to integrate numerically. The integral is: \int...
Feb26-12 06:37 PM
0 1,301
I'm trying to prove, per ex. 5 of section 2.2 of S. Berberian's Fundamentals of Real Analysis, that where \lambda^* is...
Feb26-12 12:00 PM
1 1,133
I have a set of N data points defined over a periodic interval, 0\le x \le 1. I made a discrete fast fourier...
Feb26-12 05:27 AM
0 712
Hi, In high school, I was shown an unconventional but quicker way to find max/mins. I'm not sure how common it is...
Feb25-12 01:56 PM
2 831
I have been working on a problem proposed in a math journal, and there is only one thing I need to figure out. Here...
Feb25-12 01:27 PM
1 1,025
If C is a simple closed contour such that w lies interior to C, and n > 1, then \int_{C} \frac{dz}{(z-w)^n} = 0. I'm...
Feb25-12 11:11 AM
5 1,284
Have the following question and just wondering if my solution is correct Let g(x)= x^5+3x-1. Show that there are no...
Feb25-12 11:01 AM
3 940
So I came across a problem that said to use u-sub to solve: integral(x^4sinxdx) But the only way I could think...
Feb25-12 06:44 AM
1 991
My textbook (Taylor, Classical Mechanics) and professor introduced the concept of \nabla_{1} to mean "the gradient...
Feb25-12 12:30 AM
3 1,096
I posted a problem called "estimating eigenvalue of perturbed matrix" in the section 'Linear and abstract algebra'...
Feb24-12 10:54 PM
2 650
We can show that \int_{0}^\infty e^{-kx}dx=\frac{1}{k} for real $$k>0.$$ Does this result hold for $$\Re...
Feb24-12 05:02 PM
2 856
I'm curious if 1/x ~ 0. Technically by the definition I know it's not since lim x→∞ (1/x)/0 = ∞. But I feel like it...
Feb24-12 03:20 PM
8 1,141
On a quiz, a true/false statement was given along the lines of: "The gradient is a specific example of a...
Feb24-12 03:10 PM
12 1,655
Ok I can do the integral and see that it is equal to 2∏i, but thinking about it in terms of 'adding up' all the points...
Feb24-12 09:26 AM
22 2,551
The stupid question of the day. Is it fair to say that\frac{du}{dx} = \frac 1 {dx/du} since this comes (I think)...
Feb24-12 07:36 AM
2 1,190
I am having a hard time understanding how to parametrize the function y = sin(x) into component form (i,j).
Feb24-12 07:06 AM
4 1,078 It seems great, but I don't know really. I think someone can...
Feb23-12 10:04 PM
0 865
I actually made this question up while studying some chemistry. The problem is easy to visualize, but I'm trying to...
Feb23-12 07:31 PM
12 1,091
I understand everything in the proof except the last step I have written here. What comes after, I understand. How...
Feb23-12 10:02 AM
4 1,148
"In his studies on Fourier Series, W.H.Young has analyzed certain convex functions \Phi:IR\rightarrow\bar{IR}^{+}...
Feb23-12 09:05 AM
0 1,148
Total variation is defined by \Delta f=\delta f+\Delta x For example f(x,y)=yx, y=y(x) \Delta f=x\delta...
Feb23-12 06:55 AM
2 1,037
Hi, How can I set a table in mathematica to count by a specified value, rather than the preset 1. For example, if I...
Feb22-12 08:08 PM
0 875
Wondering whether somebody could help me with a quick integral?? dp/dt = ap(1-(p^2/q^2)) initial condition p(0) =...
Feb22-12 04:23 PM
3 1,150
I wonder why z^(-1/2) cannot be expanded in Laurent series with center z=0. Anyone knows?
Feb22-12 03:30 PM
2 1,031
Hello, I am just starting to learn limit evaluation techniques. I am unsure of the method used in this case. (x^3 +...
Feb22-12 10:14 AM
5 1,081
note that by limit I mean the calculus operation, as in limf(x) as x->a. I was playing around with numbers earlier...
Feb22-12 08:52 AM
10 5,538
Hi all, I have a set of data that is number of counts - vs - angle. I need one angle for a calculation. I need to...
Feb22-12 01:16 AM
0 618

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