# 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 40,041 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 4 530 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 1,863 |1-0.\bar{9}|=dx? Jul17-13 10:24 AM Mandelbroth 14 904 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 1,627 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 3,559 A Union of a FINITE collection of closed sets is closed. But if it is an infinite collection? Can someone provide an... Apr5-11 12:04 PM Bachelier 2 842 We know that every discrete metric space with at least 2 points is totally disconnected. Yet I read this: A MS that... Apr5-11 12:33 PM Bachelier 6 1,295 For months I have been staring into this expression, and I cannot visualize what the hell omega represents... ... Apr5-11 12:58 PM Bassalisk 4 829 What led to the definition of the Laplace transform ? Apr5-11 11:19 AM neginf 0 457 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 3 562 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 1 368 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 1 510 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 0 714 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 2 507 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 5 508 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 9 597 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 11 997 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 3 558 How to find the integral of sin x dx? $$\int sin x dx=?$$ Jul23-13 02:17 AM CompuChip 20 1,071 how do I find the integral of ∫√(t^4+x^3)dt from 0 to x^2? Jul18-13 10:39 PM lurflurf 1 285 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 6 541 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 6 627 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 1,065 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 2 424 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 3 450 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 4 585 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 4 536 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 7 710 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 2 472 Please help, I am running out of my wits trying to solving this equation: \int_{0}^{2\pi}e^{jz\cos... Jul23-13 07:06 PM yungman 8 655 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 6 685 so before i start this is extracted from spivak's calculus proof now here is the problem the teacher who taught us... Jul24-13 04:25 PM Andrax 4 478 Hi there, I was wondering if it is possible to find the roots of the following polynomial P(x)=x^n+a x^m+b or... Jul24-13 05:51 PM nergal 2 429 I've always thought of the gradient of a scalar function (id est, ##\nabla\varphi##) as being a vector field. However,... Jul24-13 07:48 PM WannabeNewton 5 562 in a text a read that " \oint \nabla A \cdot dl = 2 \pi n wich implies that the gradient of A has a pole... Jul24-13 11:02 PM lurflurf 1 489 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 4 644 Hi, Could you help me to understand the following expansion I found in a book of qunatum mechanics. ... Jul25-13 08:22 AM sharan swarup 4 482 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 6 653 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 5 640 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 4 603