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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 46,216
You know that the problem of calculus of variations is finding a y(x) for which \int_a^b L(x,y,y') dx is stationary....
T 01:17 PM
3 148
Let a,b are constants. a=\int_{-∏}^∏ f(x)\,dx and b=\int_{-∏}^∏ {g(x)f(x)}\,dx, Then by integration...
T 12:46 PM
2 126
So, as i understand, the geometrical meaning of this type of integral should still be the area under the curve,...
T 08:17 AM
0 109
My textbook says the extreme value theorem is true for constants but I don't buy it. I mean I suppose that every...
T 12:22 AM
9 181
Hi! I am taking a second look on fourier transforms. While I am specifically asking about the shape of the fourier...
Y 03:27 PM
2 109
HELP! Enclosed by paraboloid z=x^2 + 3y^2 And planes X=0, Y=1, y=x, and z=0 I cannot find the intervals of...
Y 01:22 PM
0 74
Hi, I am struggling for some time to solve the following integral: $$ \int_{-n}^{N-n} \left(...
Aug27-14 09:14 AM
Greg Bernhardt
1 282
For this function y=\sqrt{2ln(x)+1} if I use the chain rule properly, should I be getting this answer? ...
Aug27-14 12:34 AM
1 143
Can someone explain to me why in this equation (attached) where ρ(t)=\sumδ(t-ti) , dirac funtion. in the left...
Aug26-14 10:03 PM
3 198
First off: I think I understand the chain rule and how it derives from \lim_{h \to 0} \frac{ f(x+h)-f(x)}{h} ...
Aug26-14 07:55 PM
8 211
Hi The question is the following: is it possible for a (say) real function to be continuous at a certain point...
Aug26-14 08:42 AM
4 169
Hi :) I'm doing my A-Levels and have a maths investigation project for which I decided to model the working of a...
Aug25-14 07:58 PM
Simon Bridge
10 466
I was playing around with some simple differential equations earlier and I discovered something cool (at least for...
Aug25-14 12:42 PM
3 230
Hi, Is the following integral well defined? If it is, then what does it evaluate to? \int_{-1}^{1} \delta(x)...
Aug25-14 03:55 AM
10 274
I am looking at a solution to an question and I don't understand how the value of the following definite integral...
Aug24-14 05:29 PM
7 274
Hi. Is using the Levi-Civita symbol to calculate cross-product combos like A x (B x C) allot faster than just using...
Aug24-14 10:50 AM
2 182
I'm doing an undergraduate course in engineering 1st sem. I have physics which contains cumbersome amount of vector...
Aug23-14 06:59 AM
2 206
Firstly, the set E is defined: "Let E be the set of all positive real numbers t such that tn<x." Later on the...
Aug22-14 12:51 PM
3 1,648
many books only tell the operation of total derivative and partial derivative, so i now confuse the application of...
Aug21-14 08:11 AM
3 348
Hey. I'm new to the forum and I was hoping you could help me solve this integral. I was searching for a clue on...
Aug21-14 06:36 AM
6 263
Differentiation by first principles is as followed: $$y'=\lim_{h\rightarrow 0}\dfrac {f\left( x+h\right) -f\left(...
Aug20-14 10:23 PM
15 2,394
Apparently, f \nabla^2 f = \nabla \cdot f \nabla f - \nabla f \cdot \nabla f where f is a scalar function. ...
Aug20-14 12:12 PM
2 213
Let a\in\mathbb{R}, a>0 be fixed. We define a mapping \mathbb{Q}\to\mathbb{R},\quad q\mapsto a^q by setting...
Aug19-14 06:20 PM
2 209
Hey guys, Not claiming to be an expert on numerical methods here but I am doing some digital integration using...
Aug19-14 01:46 PM
1 196
I'm an undergrad who has just completed the standard calculus sequence (1, 2, and multivariable). I've done well in...
Aug18-14 02:04 PM
3 326
You can prove if f(x) is an odd function and f(x+ t) is an even function then f(x) is periodic with period at most 4t....
Aug17-14 02:10 AM
2 252
I think this is a theorem, and I'm telling myself that I've proved it. Just a shout out for any possible...
Aug16-14 11:39 PM
3 260
1. What if absolute convergence test gives the result of 'inconclusive' for a given power series? We need to...
Aug16-14 03:26 PM
5 379
Simply put, can you find the function which extremizes the integral J=\iint L\left(x,y,f(x),f(y),f'(x),f'(y)\right)...
Aug16-14 03:36 AM
4 434
Can you suggest a general analytical solution to the following equation \ln(x^{3/2})-bx-c=0 where x is real...
Aug15-14 02:54 PM
6 329
Hello everyone, I brushing up on integration techniques and I came across this problem in a book. Does anyone here...
Aug15-14 01:43 PM
2 415
Could someone walk me through how to maximize this 2-variable function wrt z? ...
Aug15-14 01:20 PM
3 361
Hi, Let y= |sin(x) + cos(x) + tan(x) + sec(x) + csc(x) + cot(x)| Find the minimum value of "y" for all real...
Aug15-14 10:09 AM
27 818
Our integral \int\limits_0^{\pi/2} \sin^{2a+1}(x)\,dx Has a Factorial Form: {(2^a a!)}^2 \over (2a+1)! What...
Aug13-14 07:46 PM
3 268
I'm trying to work out the equation of a curve through 5 very specific points... these points are (47.5, 46.3)...
Aug13-14 12:31 PM
5 331
Hi all, I have this integral, and I wish to write it in a closed-form in order to be able to program it. The...
Aug12-14 07:52 PM
4 385
I am looking for a good and easy access reference on multi-variable calculus of variation with many examples and...
Aug11-14 02:10 PM
1 330
Is there a non-zero continuous function, f, R -> R such that ∫f(x) dx over (c, c^2+1) = 0, for all c in R? Hope this...
Aug11-14 09:46 AM
3 316
I have read that even the simplest integrals (like y=x2) might need some correction if we want to reach an extreme...
Aug10-14 03:41 PM
5 397
We know that in order to be integrated a function must be continuous. Does this imply that space and time must be a...
Aug10-14 07:41 AM
8 379

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