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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 46,040
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
23 5,230
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
3 901
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
7 2,697
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
1 797
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
5 951
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
6 3,316
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
10 5,407
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
1 877
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
10 2,162
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
3 719
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
3 1,190
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
2 934
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
6 2,773
Nevermind I figured it out ec{w}?
May24-11 07:20 PM
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
4 1,397
I am trying to calculate the following integral I=\int_0^\infty\frac{x}{(x+ia)^2}...
May24-11 12:21 PM
14 2,152
\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
3 1,012
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
5 910
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
9 1,682
So I've just completed my high school calculus course (just introductory calculus) and I loved it. In fact I got 100%...
May23-11 06:22 PM
4 540
Kind of stuck (embarrassingly) on determining what poles of the function: 1/(z^6 + 1) lie above the y axis (I'm...
May22-11 09:09 PM
3 1,482
I'm a bit lost on this part of my course (ODE's and complex analysis). We've only done about 2-3 of these (seemingly...
May22-11 03:16 PM
1 1,286
Hey guys I've been reading through a few books and I can't seem to work this out; \int _0^{\infty }e^{-a x^2}xdx =...
May22-11 11:21 AM
2 548
Hi, I am an engineering student and I have so far taken Calc 1 & 2 and Ordinary differential equations. I need some...
May22-11 09:19 AM
12 1,728
Hi guys, I am reading a proof on Holder's inequality. There is a line I don't understand. Here is the extract from...
May22-11 03:32 AM
1 1,957
The following is from my investigation of a problem for my math term paper. An object is given a certain linear...
May21-11 07:33 PM
1 1,090
The function u(x,t) satisfies the advection equation \frac{ \partial u}{ \partial t}-0,5\frac{ \partial u}{ \partial...
May21-11 12:26 PM
0 1,202
If I put these 2 lines in to it comes up with a solution x = 1 + 2t , y = 2 – t , z = t ; x = -2...
May21-11 11:41 AM
2 739
at the serie \sum_0^{\infty} a_n (x - c)^n , the radius of convergency is: . R= \lim_{n \to \infty }...
May21-11 04:33 AM
5 959
I'm working on this differential equation this few days.... Could you give some guidance on approximate solutions to...
May20-11 09:08 PM
3 960
Does a derivative exist at a vertical asymptote of a function? For the function 1/(x^2), there is a vertical...
May20-11 05:26 PM
3 760
Something has been bugging as of late: usually, derivatives (ordinary and partial) are defined for interior points....
May20-11 04:37 PM
7 1,800
I want to use a Kalman filter to estimate the motion of an object. However, the catch is, the measurements I have only...
May20-11 04:07 PM
1 715
It is known that T in Hom(V) is self-adjoint if (Ta,b)=(a,Tb) Let \theta be the isomorphism from V to V*, then (Ta,...
May20-11 01:26 PM
0 505
Hello all, I am reading an engineering book and am having trouble understanding a bit. Let u, v and w be...
May20-11 11:29 AM
4 739
If f : Rn -> R is Lebesgue measurable on Rn, prove that the function F : Rn * Rn -> R de fined by F(x, y) = f(x - y)...
May20-11 09:48 AM
3 1,297
In a book I'm reading, it says: If beta is orthogonal to the set A, then beta is orthogonal to the closure of the...
May20-11 08:26 AM
4 1,024
Most of the time I can visualise whether some solids of revolution are annulous or not but sometimes I just don't see...
May20-11 07:04 AM
4 1,184
How do I find the Laurent expansion of a function containing the principal branch cut of the nth root? Example:...
May20-11 06:59 AM
4 2,066
I understand that the limit of the sum of two sequences equals the sum of the sequences' limis: \displaysyle...
May20-11 01:32 AM
6 5,885

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