# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 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 40,144 The correct one is 2nd, but why not first? Please guide , or tell me any link that relate to this derivation. Thanks Jul16-13 06:54 AM Outrageous 2 400 And your boundaries are defined as: 0 < x < y < 1 How do you know the relationship between x and beyond this? ... Jul15-13 02:00 AM CompuChip 1 366 i have reached a chapter in my pure mathematics text that introduces u-substitution as a method for solving integrals... Jul19-13 09:31 AM lukka 4 534 I'm taking a short Calculus session this summer and the teacher zooms through things. I still don't fully understand... Jul21-13 08:25 PM jasonRF 35 1,880 |1-0.\bar{9}|=dx? Jul17-13 10:24 AM Mandelbroth 14 909 Is there a standard notation for partial derivatives that uses indexes instead of letters to denote ideas such as the... Jul13-13 11:44 PM lurflurf 2 409 My question is that why is their a need for both upper and lower while calculating Definite Integrals. The... Jul14-13 02:11 AM san203 5 576 Recently, an AT&T commercial has been running on TV where a moderator asks some children about the largest number they... Jul15-13 06:12 PM mfb 8 514 Does anyone know of solutions (or sources showing them) to the area and line lengths of the loops and arcs of prolate... Jul12-13 05:56 PM liometopum 2 507 1.)does an infinite number of zeroes summed up equal a finite value? 2.)does dx=0? 3.)does 2xdx=0? 4.)the... Jul16-13 03:18 PM DeIdeal 31 1,642 Imagine an box with initial dimension x_0 and y_0 with a cavity in the centre with area R^2 . Lets say the box... Jul12-13 01:31 PM Chain 4 479 if we want to find the volume of a function revolved about the x axis all we do is find the differential element.. ... Jul12-13 08:45 PM Simon Bridge 5 685 i understand the reason for if the evaluated integral converges then the series also converges. However, just because... Jul10-13 01:10 PM Millennial 7 751 would someone please care to reword this proof for me? http://en.wikipedia.org/wiki/Limit_comparison_test it... Jul10-13 06:50 PM Mark44 9 777 Hello guys! I am trying to get a solid grasp of the Precise Definition of a Limit. I am having a particular hard... Jul10-13 05:21 PM WannabeNewton 8 806 Hi, I'm studying calculus of variations, this is a bit of a recap of regular calculus. You got a function, but... Jul12-13 05:57 PM Dr_Pill 4 653 Is there a treatment of "infinitesimal operators" that is rigorous from the epsilon-delta point of view? In looking... Jul23-13 09:25 AM Stephen Tashi 68 3,602 I just learned that d/dx|r(t)|=1/|r(t) |X r(t)*r'(t), where * is the dot product and X is mutiply. What is the meaning... Jul19-13 03:58 PM Chestermiller 3 568 Its been a while since I've done any type of calculus. So here we go. Vectors is this scenario represent cords,... Jul17-13 05:54 PM jedishrfu 1 371 So I'm trying to study for my calc 3 exam, but I have noticed that my book doesn't have many limit questions that use... Jul17-13 04:31 PM Mandelbroth 1 522 I would like to take divergence of the following expression ∇.((xi × xj × xk)/r^3), which is a triadic. here ... Jul17-13 08:48 AM praban 0 722 so, the magnitude of the cross product represents the area or volume enclosed by any 2 or 3 vectors respectively, but... Jul17-13 05:00 PM electricspit 2 513 equation of the form ax+bx+cx=a0+b0+c0 ax+bx+cx=d what exactly does "d" represent? is it the distance of a... Jul17-13 06:54 PM LCKurtz 5 512 I don't understand what the derivatives really mean?I know that they are the slope of the tangents drawn to a... Jul10-13 02:02 AM WannabeNewton 3 517 Hi there. I am dealing with a mathematical problem which seems to be much harder than I initially expected: ... Jul19-13 11:19 AM KingBongo 9 603 Hello. I'm not terribly proficient with Bessel functions, but I know that those of the first kind are given by ... Jul12-13 05:20 AM IridescentRain 2 546 For the series such that: \Sigma _{n=1} ^{\infty} a_n =\Sigma _{n=1} ^{\infty} b_n A certain theorem says that these... Jul16-13 11:12 AM Office_Shredder 11 1,012 Let's suppose we have a matrix ##\textbf{C}=\begin{bmatrix}c_{1,1} & c_{1,2} & c_{1,3} & \cdots & c_{1,m} \\ c_{2,1} &... Jul9-13 09:45 PM Ackbeet 1 459 In this video (from 27.00 - 50.00, which you don't need to watch!) a guy shows how you can solve the general second... Jul15-13 01:18 PM bolbteppa 6 474 if space curve C=, and v=\frac{dC}{dt}=<\frac{df(t)}{dt},\frac{dg(t)}{dt},\frac{dh(t)}{dt}> Why... Jul16-13 07:43 PM WannabeNewton 3 565 How to find the integral of sin x dx? $$\int sin x dx=?$$ Jul23-13 02:17 AM CompuChip 20 1,078 how do I find the integral of ∫√(t^4+x^3)dt from 0 to x^2? Jul18-13 10:39 PM lurflurf 1 286 Hi there, I am trying to calculate both volume and moment of inertia of shapes which surface coordinates are... Jul20-13 04:00 PM power11110 6 545 So i realize that the integral of is pretty much the height of the rectangle f(x), multiplied by the width dx. But... Jul21-13 01:39 PM Mandelbroth 6 632 So, I'm studying normalization (Quantum Mechanics). I came across examples of integrands which they say are odd. So,... Jul21-13 07:47 AM jhosamelly 11 1,084 I was looking at an example where it was evaluating a closed loop integral of a vector field around a triangle (0,0)... Jul22-13 01:32 PM wahaj 2 428 Hello I'd first like to state I know how to solve and I know the answer to this integral however when I first looked... Jul22-13 11:35 AM jbunniii 3 455 The volume of a sphere with radius r is v = \frac{4}{3}\pi r ^{3} It makes sense that its derivative with... Jul23-13 05:57 PM lurflurf 4 589 In an earlier post i was shown how to represent an integral as an infinite sum. So why is the anti derivative a... Jul22-13 10:02 PM LeonhardEuler 4 542 f is a positive decreasing function of x, f(n) = an for all n: \int\stackrel{n+1}{1} f(x) dx \leq a_{1} + a_{2} +... Jul23-13 12:56 PM tolove 2 473