# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Views: 775 Announcement: End of year contest, $75+$50 prize! Dec18-13 Meta Thread / Thread Starter Last Post Replies Views Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions... Feb23-13 10:24 AM micromass 1 37,799 The following numbers are from a random number generator, and I am confident that there is some kind of pattern or... Jul22-09 07:03 AM rokstar84 2 4,469 Suppose X\in\mathbb{R}^{n\times n} is orthogonal. How do you perform the computation of series \log(X) = (X-1) -... Jul22-09 06:55 AM jostpuur 8 3,228 the integral is given as \frac{1}{\pi}\int_{0}^{2\pi}ce_{2n}^{2}\cos2\eta... Jul22-09 06:14 AM iver 0 1,104 Anyone have a good link to a site explaining the different coordinate systems and the jacobian determinant for each of... Jul22-09 05:52 AM foges 1 546 i have the following equation: e^-p (dp/dx) = v*(h/(h-h0)^3) i have h0 and values for h for x = -1 to -2 i... Jul21-09 12:20 AM Mad_MechE 0 558 This is my first post on physics forums, and I feel quiet enthusiastic about it, although the problem I have is pretty... Jul20-09 07:21 AM milovanovic 0 1,190 Hello, I enclose a jpeg of the circuit and two simulink jpeg files. The first mdl file - First Test circuit... Jul20-09 04:06 AM Cyclops 8 8,999 Let {Sn} be a sequence such that Sn > 0 for all n and Sn --> s , s > 0. Prove that log (Sn) --> log (s) using the... Jul20-09 04:02 AM snipez90 12 2,131 Does there exist anything like a polar complex differentiation? So there exists a gradient equation in polar... Jul18-09 12:41 AM gaganaut 0 1,886 Suppose I want to show that an+1 < an one could find the derivative of the sequence and then show that it is negative... Jul17-09 03:43 PM ronaldor9 9 853 How did Euler came up with a solution of 1/4 for the series 1-2+3-4.... There is a wikipedia page explaining it, ... Jul17-09 01:10 PM Count Iblis 12 1,053 I recently came across a version of the Intermediate Value Theorem in "Cracking the GRE" by Princeton Review. ... Jul17-09 10:41 AM g_edgar 2 781 How can i find the derivative of a function like this: f(x) = sqrt( 1 - x² ) Jul17-09 07:03 AM Matthollyw00d 11 218,370 I'm trying to work through an introduction to Lagrangian mechanics. I get the idea. You have a particle at point A... Jul16-09 10:06 PM dx 8 1,397 I am being given complex frequency domain data from a measuring instrument. The data does not include negative... Jul16-09 09:05 PM fleem 3 802 The problem is to prove the following: \sum_{m>0}J_{j+m}(x)J_{j+m+n}(x) = \frac{x}{2n}\left(J_{j+1}(x)J_{j+n}(x) -... Jul16-09 07:13 PM JertLankster 0 797 I read that the outer measure is not countably additive, but I can only think of cases where the outer measure is... Jul16-09 07:00 PM symbol0 4 1,503 Im givin these two lines.. L1= x=4+5t y=5+5t z=1-4t L2= x=4+s y=-6+8s z=7-3s What i tried doing was taking the... Jul16-09 06:12 PM HallsofIvy 2 4,107 fx,fy=-y,x curl(fx,fy)=2 its counterclockwise so the gradient is pointing ccw. the gradient is the direction of... Jul16-09 02:44 PM BobbyBear 3 815 if * f(x) + + f() = 3 and f(1)= 2 find f'(1) NEED HELP REVIEW QUESTION FROM EXAM REVIEW DONT KNOW WHAT TO DO Jul16-09 01:41 PM HallsofIvy 4 821 So, the area under a curve is determined by F(b) - F(a), how does that take into account the changing area between the... Jul16-09 12:24 PM JCVD 5 700 The definition of a sequence of real numbers is : a function from N to R. What is the standard way to handle a... Jul16-09 11:27 AM Tac-Tics 4 1,564 Is it possible to re-arrange the terms of a divergent series such that the re-arranged series converges? Jul15-09 08:34 PM Office_Shredder 1 903 Say we have a function, f(x)=x^3 one would say "f is a function from \mathbb{R} to \mathbb{R}" or f:... Jul15-09 07:28 PM angryfaceofdr 6 1,264 http://www.youtube.com/watch?v=usgLmOt5eIw could someone tell me where the i^i=e^(pi/2) came from?? Jul15-09 04:21 AM GrizzlyBat 5 764 If we have a functional J(y)=\int L(y,y',x)dx then the first variation is \delta J=\int\left(\frac{\partial... Jul14-09 09:52 AM Count Iblis 2 788 Is the power rule in calculus true for any complex exponents? i.e. does d/dz z^c = cz^(c-1) true for any c, even when... Jul14-09 09:39 AM Count Iblis 1 1,937 Hello everybody, I have two questions on conditional expectation w.r.t (Polynomial) OLS: Let X_t be a random... Jul14-09 08:45 AM piolo 1 1,440 So, I've got a problem understanding the "algorithm" for changing variables in a more-than-one-dimensional integral.... Jul14-09 06:51 AM daniel_i_l 3 861 Can someone give me an explanation or possibly a proof that... Jul13-09 06:21 PM JG89 3 5,909 Hello everyone. Here's a unit rotation quaternion : q(t) = We know that if \hat{u}(t) is constant, then our... Jul13-09 11:05 AM D H 21 8,706 This is from Rudin, Functional Analysis 2.1. Not homework. If X is an infinite-dimensional topological vector... Jul13-09 10:45 AM redrzewski 4 617 Say you have something like f(x)*(f(y)+f(z)). What are the partial derivatives with respect to each variable? What... Jul13-09 10:33 AM n!kofeyn 4 868 given a function F(x) = 1 ,x=1 2 ,x=2 3 ,x=3 ... Jul13-09 08:04 AM peeyush_ali 7 2,331 When is the aforementioned reversal valid? (For example, is continuity in the neighborhood of the limit sufficient?) ... Jul13-09 06:12 AM HallsofIvy 1 773 I was wondering if someone could recommend a good text that explains the construction of complex from real, real from... Jul12-09 06:48 PM BustedBreaks 2 1,228 What is the proof that proves: A = the definite integral of a function with upper limit a and lower limit b. ? Jul12-09 06:24 PM DJ24 4 1,199 Abuse of Liebniz Notation ( 1 2 3 ... Last) Why is it that performing algebraic operations on differentials in Liebniz notation is considered an abuse of the... Jul12-09 10:21 AM Hurkyl 115 7,447 Hi, I am using the Fourier transform to price a European put option. I have obtained the following integral: ... Jul12-09 06:22 AM ab959 0 1,191 question: how do i find the area under f bounded by a closed parametric curve x,y? it doesnt look like i can use a... Jul11-09 07:27 PM HallsofIvy 3 2,812