# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Views: 8,750 Announcement: Two free ways to get Gold Membership! Jan17-12 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 09:24 AM micromass 1 39,339 I was looking through some examples which applied the duality principle while studying for an up and coming exam when... Aug8-13 04:08 PM mathman 1 463 Hello everybody, I'm trying to understand some steps in the evolution of calculus, and in a .pdf found in the... Aug8-13 12:05 PM petroljose 3 480 Hello, This is my first post and I must emphasise that I do not have a science/maths training background and this... Aug8-13 10:44 AM anja.ende 2 474 Can F'(x) =f(x) even if f is not continuous I tried making a function let f(x) =5 if x<=5 f(x)=4 if x>5 f is not... Aug8-13 12:45 AM micromass 3 580 Hi all, I don't understand the following procedure discussing the solvability of the differential equation. Please... Aug7-13 11:03 AM jollage 0 361 When I type in this integral into Mathematica: $$\int_1^\infty \int_1^\infty \frac{dxdy}{(x+y^2)^2}$$ using a... Aug7-13 08:25 AM geoduck 6 842 So I'm reviewing some mathematics for quantum mechanics and this came equation came up \int_{-\infty}^{\infty} a... Aug6-13 03:37 PM cnelson 2 504 I want to verify: \vec A=\hat R \frac{k}{R^2}\;\hbox{ where k is a constant.} \nabla\cdot\vec... Aug6-13 11:43 AM yungman 3 471 {Edit: as of 3:55 eastern time, made corrections to tex and itex mistakes} Is this all kosher in terms of... Aug5-13 08:51 PM micromass 17 1,546 How would you integrate it? \int \frac{d \varphi}{\sqrt{1 + \frac{a^2 b^2 \sin^2 \alpha}{(a \sin \varphi + b \sin... Aug5-13 03:41 PM mathman 2 873 L'Hopital's rule greatly simplifies the evaluation of limits of indeterminate forms, especially those with polynomial... Aug3-13 11:34 PM chiro 2 529 I am totally confused about how the anti-derivative of the cos2x ends up being 1/2*sin2x+c. I know the formal... Aug3-13 10:36 PM Shinaolord 18 852 I understand at cusps, corners, etc, because the negative and positive directions do not agree with eachother. But... Aug3-13 06:45 PM CuriousBanker 8 1,052 I need to solve an integral equation of the form \forall \omega \in , ~ \int_{\mathbb{R}} K(\omega,y)f(y)dy =... Aug3-13 01:05 PM JohnXYZ 2 463 When finding the coefficients of a Fourier-Bessel series, the Bessel functions satisfies, for k_1and k_2 both zeroes... Aug3-13 08:57 AM SteamKing 3 517 I will do my best to describe the problem I am working on. The problem is not from a textbook or anything but... Aug3-13 08:19 AM kevinnn 7 675 Is there a general formula for (total) derivatives of functions of the form f(xy(x)+z(x)? I tried the most simple... Aug3-13 08:10 AM HallsofIvy 1 394 Hello, I'm trying to solve this equation. (4-4cos(∏*0.16*4)) - (4-4cos(∏*0.16*3)) It seems like it should be so... Aug2-13 05:29 PM ksinelli 5 492 Hello, I am approaching the end of my multivariable/ vector analysis "Calc III" class and have a question about... Aug2-13 04:29 PM HallsofIvy 2 423 Hi I have a question regarding differentiation of inverse functions that I am not capable of solving. I want to... Aug2-13 11:22 AM pasmith 5 476 In three dimesnion, equation of a Line is determined using a fixed point on the line and any arbitrary point on the... Aug2-13 09:48 AM Abhilash H N 4 608 I was searching through old threads that had not been replied to and I found one by 'japam' from Feb 6, 2005. After... Aug2-13 07:33 AM junaid314159 2 402 We are all familiar with Gabriel's Horn, where the function f(x) = 1/x generates an infinite area but a finite volume... Aug2-13 07:17 AM junaid314159 4 770 How to convert the -300 deg (minus 300 degree) to a radian? Aug1-13 09:48 PM Integral 18 1,299 Suppose I have some function f that depends on three variables, namely x, y, and t; i.e., f=f(x,y,t). Now suppose... Aug1-13 11:58 AM Boorglar 3 522 I have a doubt on this following procedure using the residue theorem: Initially we have... Aug1-13 04:16 AM jollage 5 493 1. The problem statement, all variables and given/known data Hello , so in spivak's calculus we only learn to... Jul31-13 08:52 PM Andrax 2 495 I've seen many definitions of continuous functions. They all describe x in a domain, but there's not really much... Jul31-13 07:39 PM thelema418 5 447 Is it okay to perform operations under the limit sign just as we would if the limit sign were not there? I'm really... Jul31-13 05:26 PM hilbert2 5 607 so i was working on this equation , and in the end i came to Lim H>0 2-h+2xh so now i am supposed to treat H as 0 ... Jul31-13 09:44 AM B4ssHunter 4 447 I am trying to get a head start and learn some calculus before my class begins this fall. I'm trying to learn from... Jul30-13 12:30 PM verty 8 1,099 Are there derivations of the taylor, fourier and laurant series? Jul30-13 10:28 AM SteamKing 3 398 Hello guys, can you please help me to understand this proof of division lemma, part of the limit theorem. It is taken... Jul30-13 05:13 AM junaid314159 3 453 Hi members, gamma (n+1)=n! Now I have the following: gamma(2(n+3/2))=gamma(2n+1) What is factorial... Jul30-13 04:19 AM junaid314159 9 601 Hello, I'm getting slightly confused by the following so was hoping someone may be able to clear my problem up. For... Jul29-13 03:31 PM Sir James 4 610 I was reading this problem on calculating the probability of hitting a certain region on a dartboard. The number of... Jul28-13 06:43 PM Stephen Tashi 4 551 If we have the function f : x \mapsto f(x) = 3x^2, I am used to Lagrange's prime notation for the derivative: ... Jul27-13 04:36 PM cra18 5 600 So I'm in the Navy. I work on an aircraft carrier that just went into drydock. The drydock has a large trapezoid door... Jul26-13 02:28 PM Tclack 6 617 Hello, I provided a snap-shot of the definition of a Total Differential, that my textbook provides. I am having... Jul25-13 06:58 PM CubicFlunky77 6 656 Hi there, I just started to learn about gradients. I can calculate them with ease; but I don't think I really... Jul25-13 08:31 AM economicsnerd 7 679