Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 122,678 Announcement: Follow us on social media and spread the word about PF! Jan16-12 Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions... Feb23-13 09:24 AM micromass 1 45,358 So I have a function which represents motion. This function is x^2 which is also the area of a square. Now, what I... May17-13 07:33 PM jasonlr82794 17 1,029 I'm thinking in particular about Lenny Susskind's lectures, but I've seen other lecturers do it too. They'll be... May10-13 05:24 AM jedishrfu 1 671 I dont get it guys. 100% on all the quizes and homework. 42% on the final.... Deptartment policy is that you have to... May12-13 09:21 PM Simon Bridge 13 1,049 Hey guys. So, I'm in an Analysis class and we're at the section on Riemann integrals. I get the theory and the... May12-13 11:45 AM Tim67 0 621 I have an oil spill that spills out at a rate of 100 ft per second. I need to find the rate of change of the radius at... May16-13 12:09 AM Mark44 1 461 So I know that the derivative of the area of a circle is 2∏r or the circumference, and that the derivative of the area... May16-13 05:47 AM arildno 10 843 Hey guys, I know what polynomials are but what I really don't understand is the way you are able to find the equation... May17-13 09:17 PM Mark44 9 683 If we take the variation of a functional of some function \phi(x_1,...,x_n) with \partial_{j}\phi being the partial... May15-13 10:53 AM pellman 1 591 I am trying to solve a function using Solve in mathmatica. I am solving for multiple constants. Can i use a solve... May13-13 01:52 PM Bill Simpson 7 880 eg. Find the directional derivative of the function phi=xyz^2 at the point (1,2,3). Actually what is the math used... May15-13 11:34 PM Outrageous 6 1,187 I've come across this funny problem while messing around with integration by parts. Probably made a mistake somewhere.... May15-13 03:02 PM tade 1 491 Dyadic Cube C_{k,N} = X \in\ \mathbb{R}^{n} \frac{k_{i}}{2^{N}} \leq x_{i} < \frac{k_{i}+1}{2^{N}} for 1 \leq i \leq... May15-13 08:00 PM Astrum 2 584 For arbitrary positive numbers ##\epsilon## and ##\delta## we know that ##0<\delta<\epsilon## such that... May18-13 03:08 PM amirmath 4 499 Assume n\in\mathbb{N} and r\in\mathbb{R} are some fixed constants and r>0. I want to find some nice lower bound for... May14-13 12:27 PM jostpuur 0 466 Hi, If we have f(x) is log-concave in x, can we show that the following inequality is true? Or can we find some... May14-13 11:28 AM loveinla 0 405 I have asked a similar question but it wasn't answered fully so here it goes. Why is it that you only need two points... May17-13 08:06 PM Mark44 1 500 Is f(x)=\sin\;\hbox{ and }\; g(x)=\sin Both EVEN function? It looks even function to me even though it's a... May11-13 11:37 AM yungman 3 499 I've looked examples up online and I just can't figure out what to do exactly when I have (2x^2)/(x^2+1), for some... May13-13 09:11 PM questionasker1 2 501 Hi, a naive question here, but I was wondering if the series \sum^{∞}_{k=0} k a^{k} has a particular name? As in... May11-13 02:06 AM zeroseven 2 545 Hello, Given is the function f = f(a,b,t), where a=a(b) and b = b(t). Need to express first and second order... May13-13 08:58 AM Sunfire 2 640 Hi, I'm reading an article that has a sentence saying "where P is a function of period unity.". Here. I've... May15-13 02:11 PM Alesak 2 490 Hello all, I am re-teaching myself calculus (I don't remember anything from Calculus in college, and I only took... May16-13 10:15 PM DrewD 14 923 I am trying to make an mathmatical equation which can calculate the length of the wire, which is wounded around a a... May13-13 12:21 AM 215 2 381 Hi guys I am trying to come up with an equation to solve for a break even point. Basically I have an initial outlay of... May12-13 08:28 PM Sagelm 0 350 Let's start with: $$\int \frac{dx}{1+x^2} = \arctan x + C$$ This is achieved with a basic trig substitution.... May12-13 08:53 PM piercebeatz 6 687 My question is relatively breif: is it true that \displaystyle \lim_{n \rightarrow \infty}(\varphi(n))=\lim_{n... May4-13 06:04 PM henpen 4 994 And what is the justification to consider or not to consider dy=dx? -An Engineer, Weak in Calculus May7-13 12:38 PM gikiian 7 1,212 I was reading a paper the other day that made the following claim, and provided no reference for the assertion. I... May5-13 08:00 PM Mute 3 755 I'm having trouble understanding this. Suppose I have a sum ##\displaystyle \sum_{i=1}^{n}\left##, where f(t)... May4-13 04:32 PM micromass 2 483 I was wondering how you prove that ∫(e^iax)(e^ibx)dx from minus infinity to infinity is zero. When I try to evaluate... May4-13 12:51 PM SammyS 2 1,409 I have this equation 1/(r^2+l^2)^(3/2) and I need to integrate it quickly. My first thought is using this integral... May13-13 02:01 AM Simon Bridge 7 529 Hi, So f(x,y) = xe-x(y2 - 4y) Find all stationary points and classify them i got for fx(x,y) s.p (1,4),(1,0)... May10-13 05:19 PM JoshMaths 2 592 Minimizing a functional: When you know the values of the function y(x) on the boundary points y(x1) and y(x2),... May7-13 07:59 AM Gux 5 739 I'm testing an algorithm to find the global mimina of a function. Can someone give me a few examples of optimization... May9-13 07:37 PM lugita15 1 627 1. The problem statement, all variables and given/known data Well, this thread is purposely to clarify my question... May9-13 12:34 PM HallsofIvy 3 951 If I have ln(e^(-8.336/10c)) wouldn't that be the same as ln(e^(1/(8.336/10c))) therefore = 1/(8.336/10c) = 10c/8.336?... May9-13 10:31 AM SteamKing 3 527 I'm noticing wolfram alpha has the amazing ability to analytically solve \sum_{n=1}^{\infty} \frac{1}{n^2 + a^2} ... May9-13 09:27 AM dextercioby 6 729 How can I get the improper integral ## \int_0^{\infty}\frac{1}{x(1+x^2)}\,dx ## First thing I tried was... May9-13 02:45 PM mathman 4 604 Newton and Leibniz both had a method of differentiating. Newton had fluxions and Leibniz had something that resembles... May9-13 07:40 PM lugita15 4 728 Hi I am currently working on a project, and I need to calculate the definite triple integral of 1/|x+y+z|. i.e: ... May9-13 02:49 PM NamDogg 4 644