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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 46,564
OK, I'm new to multi-variable calculus and I got this question in my exercises that asks me to integrate e^{-2(x+y)} ...
Dec13-13 01:30 PM
3 680
I'd like to know what is a integral valued in one point (F(c)) and what is derivative valued in one interval...
Dec13-13 05:48 AM
0 582
I this old thread it mentions that the indefinite integral of f'(x)/f(x) is log(|f(x)|)+C which means that there is...
Dec12-13 04:10 PM
30 1,773
How can I find the limit in question 7e and 7g? Finding limits is difficult!:cry:
Dec12-13 06:21 AM
2 641
I am a graduate student and during my research I have come across this integration formula shows in attached image...
Dec12-13 06:14 AM
9 937
Hi, I figured out the only redundancy to my problem is this: I'll start off with a simple case, where w1,w2 are...
Dec12-13 01:59 AM
2 787
pi ∫sin^2(nx)/sin^2(x) dx 0 I tried using mathematical induction and did arrive at the correct result...
Dec11-13 02:18 PM
3 856
Iím having a little trouble understanding why Greenís Theorem is defined as; ∮_C P dx+Q dy = ∬_D dA Instead of;...
Dec11-13 04:09 AM
2 740
How do I integrate: \int\dfrac{dx}{(a^2sin^2(x)+b^2cos^2(x))^2} Multiplying and dividing by sec^4(x) doesn't work,...
Dec10-13 07:48 PM
Simon Bridge
4 868
I am confused with solving for horizontal asymptotes. I know you are supposed to find limits to positive and negative...
Dec10-13 06:01 PM
3 558
Simple question; Why isn't it \sum am (from m=1 to infinity) Thanks in...
Dec10-13 11:58 AM
1 684
does e^-x*x^(t-1)= e^(t*ln(x)-ln(x)-x) heres my reasoning: x=e^ln(x) e^-x*x^(t-1)= e^-x*e^(ln(x)(t-1))=...
Dec10-13 11:21 AM
3 624
I remember when I took Calculus B in college. I had never learned any math by reverse engineering before, but when I...
Dec10-13 10:44 AM
1 509
\displaystyle\int_0^\pi\dfrac{x dx}{a^2sin^2(x)+b^2cos^2(x)} I have to prove this to be equal to \dfrac{\pi^2}{2ab}...
Dec10-13 06:56 AM
1 542
y =f(x), and y'=df(x)/dx, F(y)=y^3+(y')^2 how to deal with the (y')^2 when i calculate dF(y)/dy? thanks.
Dec9-13 01:48 PM
4 717
Does ##g(x,y,z)## (the equation of the surface) need positive z or negative z when doing a surface integral? ...
Dec9-13 01:46 PM
2 600
Hey, does anyone know of a proof that the sinc function Si(x) = \int \frac{\sin x}{x} \, dx is not elementary?...
Dec9-13 04:02 AM
4 722
Hi, does anyone know if this function: f(x) = \sum_{k=1}^\infty \frac{(-1)^n}{x^{2k}} is representable as an...
Dec7-13 07:55 PM
4 701
I am using the PDF for log-normal distribution, which I'm referencing off the wikipedia page: here. I am integrating...
Dec7-13 06:35 PM
2 577 If instead of evaluating the above line integral in counter-clockwise direction, I...
Dec7-13 08:33 AM
7 926
I am trying to compute the determinant of the Jacobian matrix of the n-dimensional spherical coordinates. i will...
Dec6-13 01:24 PM
0 557
Given a function f(x(t, s) y(t, s)), if is possible to compact \frac{∂f}{∂t}=\frac{∂f}{∂x}...
Dec5-13 07:15 AM
5 701
Hello guys, I am quite unsure in how to start the modeling for population. If I define y as the number of infected...
Dec5-13 01:40 AM
4 652
I have run into some situations where I need to scale a number by an infinitesimal amount and would like to know the...
Dec4-13 08:33 PM
10 715
Hi, I have been stuck on a problem for a while now (3.24 part c). My attempt is as follows: Internal virtual...
Dec4-13 04:35 PM
2 802
Let L be a forward operator and M be its adjoint defined using the inner product (f,Lg)=(Mf,g). Typically integration...
Dec4-13 04:13 PM
0 694
Assume we have a number ##S_0##. For ##i=1..n## define$$S_i=\begin{cases}(1+b)S_{i-1}\text{ with probability...
Dec4-13 03:59 PM
1 498
If function is ##f(-x,-y)=f(x,y)##, is then ##\int^{a}_{-a}\int^{a}_{-a}f(x,y)dxdy=0##? Thanks for answer.
Dec4-13 12:53 PM
6 634
My book loves to represent the delta function as: δ(r-r')=∫-∞∞exp(i(r-r')k)dk Now I can understand this formula...
Dec4-13 05:42 AM
1 548
Hello! Exist a general formula to idea of lagrange multiplier, a compact formula that is possible to extract the...
Dec3-13 01:45 PM
0 411
is there a closed form solution for this double integral? \int^{2}_{1}\int^{3}_{4}\sqrt{1+4x^{2}+4y^{2}}dydx
Dec3-13 10:36 AM
5 842
Is it possible to formulate the second derivate trough of a tree diagram, as we do with a first derivative? If yes,...
Dec3-13 06:06 AM
5 761
Hello there. I recently installed the Physics Forums app and could not find the homework section in the categories so...
Dec2-13 06:33 PM
2 592
Hey guys. I am having some trouble visualizing one aspect of the Second derivative test in the 2 variable case...
Dec2-13 04:03 AM
8 762
In the process of calculating the integral \int_0^{2\pi}\frac{\sin{x} \cos{x}}{\sin{x}+\cos{x}}dx by contour...
Dec2-13 04:01 AM
8 834
I know y is a function of x y=f\left(x\right)] with two known boundary conditions, that is f\left(x=A\right)=C and...
Dec1-13 04:39 PM
3 563
If one uses Stokes' theorem and if two oriented surfaces S1 and S2 share a boundary ∂s then the flux integral of...
Dec1-13 11:03 AM
0 481
limn→∞(\frac{1}{n+1}+\frac{1}{n+2}+...+\frac{1}{4n}) Hi, when I first looked at this limit I thought that the...
Nov30-13 06:48 PM
7 607
It's easy to show that \frac{dy}{dx} of y = ln(ax) where a \in ℝ, a > 0 is always \frac{1}{x} : y = ln(ax) y =...
Nov30-13 01:20 PM
4 632
I just recently discovered for myself this weird graph, can anyone explain to me what is exactly happening here. I...
Nov29-13 07:28 PM
2 649

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