# 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 Hi folks, I'm trying to get from the established relation: $$\int_{-\infty}^{\infty}... Feb28-12 04:08 PM mathman 3 918 I have begun to read about the hyperreals, and am wondering whether the natural extensions of real-valued functions to... Feb28-12 03:32 PM Bacle2 7 1,817 \int_0^1\expx^{-3/2}dx, where 00, b>0. I know there is no closed form, and it goes to infinity for some... Feb28-12 09:16 AM spinblue 1 747 Hi all. Suppose that we want to compute the following indefinite integral: ... Feb28-12 07:02 AM AdrianMay 1 919 Someone told me Isaac Newton developed some infinitesimal triangle series to find the area of a random blob, but I... Feb27-12 08:13 PM Jorriss 3 1,596 When I am reading the paper about Rayleigh instability, I found this type of expanding method. ... Feb27-12 07:30 PM Chuck88 4 950 Take a look at the following problem: "A rubber band with initial length L has one end tied to a wall. At t = 0,... Feb27-12 10:37 AM joebevo 0 712 Hello there, I found in a book a proof of the fact the space of piecewise constant functions with a finite number... Feb27-12 09:39 AM muzialis 0 730 Have you ever see any books discussing these problems? I don't know the name of these topic. Feb27-12 07:58 AM micromass 1 733 Lets say I want to integrate sin from 0 to pi The answer is 2 But how do visualize it in terms of the graph? ... Feb27-12 06:09 AM quietrain 8 1,214 If a function is convex on (-\infty, \infty) then can we say that this function is continuous on (-\infty, \infty) ? Feb27-12 04:53 AM fderingoz 0 682 Hey All, I am trying to evaluate the limit: \lim_{x\to 0^{+}} \frac{\delta''(x)}{\delta''(x)} Where ... Feb27-12 03:14 AM Hurkyl 3 1,065 So I don't understand why if you have something like U(x,y) = f(y+2x) and you take \frac{\partial U}{\partial x} ... Feb26-12 11:19 PM wumple 2 1,277 Hi, I have the following complicated integral willing to integrate numerically. The integral is: \int... Feb26-12 06:37 PM architect 0 1,301 I'm trying to prove, per ex. 5 of section 2.2 of S. Berberian's Fundamentals of Real Analysis, that where \lambda^* is... Feb26-12 12:00 PM morphism 1 1,133 I have a set of N data points defined over a periodic interval, 0\le x \le 1. I made a discrete fast fourier... Feb26-12 05:27 AM matteo86bo 0 712 Hi, In high school, I was shown an unconventional but quicker way to find max/mins. I'm not sure how common it is... Feb25-12 01:56 PM nth.gol 2 831 I have been working on a problem proposed in a math journal, and there is only one thing I need to figure out. Here... Feb25-12 01:27 PM alexfloo 1 1,025 If C is a simple closed contour such that w lies interior to C, and n > 1, then \int_{C} \frac{dz}{(z-w)^n} = 0. I'm... Feb25-12 11:11 AM Unit 5 1,284 Have the following question and just wondering if my solution is correct Let g(x)= x^5+3x-1. Show that there are no... Feb25-12 11:01 AM Mark44 3 940 So I came across a problem that said to use u-sub to solve: integral(x^4sinxdx) But the only way I could think... Feb25-12 06:44 AM tiny-tim 1 991 My textbook (Taylor, Classical Mechanics) and professor introduced the concept of \nabla_{1} to mean "the gradient... Feb25-12 12:30 AM lugita15 3 1,096 I posted a problem called "estimating eigenvalue of perturbed matrix" in the section 'Linear and abstract algebra'... Feb24-12 10:54 PM julian 2 650 We can show that \int_{0}^\infty e^{-kx}dx=\frac{1}{k} for real$$k>0.$$Does this result hold for$$\Re... Feb24-12 05:02 PM Charles49 2 856 I'm curious if 1/x ~ 0. Technically by the definition I know it's not since lim x→∞ (1/x)/0 = ∞. But I feel like it... Feb24-12 03:20 PM alexfloo 8 1,141 On a quiz, a true/false statement was given along the lines of: "The gradient is a specific example of a... Feb24-12 03:10 PM genericusrnme 12 1,655 Ok I can do the integral and see that it is equal to 2∏i, but thinking about it in terms of 'adding up' all the points... Feb24-12 09:26 AM Bacle2 22 2,551 The stupid question of the day. Is it fair to say that\frac{du}{dx} = \frac 1 {dx/du} since this comes (I think)... Feb24-12 07:36 AM dodo 2 1,190 I am having a hard time understanding how to parametrize the function y = sin(x) into component form (i,j). Feb24-12 07:06 AM HallsofIvy 4 1,078 http://en.wikiversity.org/wiki/The_necessities_in_DSP It seems great, but I don't know really. I think someone can... Feb23-12 10:04 PM Ask4material 0 865 I actually made this question up while studying some chemistry. The problem is easy to visualize, but I'm trying to... Feb23-12 07:31 PM Bipolarity 12 1,091 I understand everything in the proof except the last step I have written here. What comes after, I understand. How... Feb23-12 10:02 AM RUMarine 4 1,148 "In his studies on Fourier Series, W.H.Young has analyzed certain convex functions \Phi:IR\rightarrow\bar{IR}^{+}... Feb23-12 09:05 AM fderingoz 0 1,148 Total variation is defined by \Delta f=\delta f+\Delta x For example f(x,y)=yx, y=y(x) \Delta f=x\delta... Feb23-12 06:55 AM matematikuvol 2 1,037 Hi, How can I set a table in mathematica to count by a specified value, rather than the preset 1. For example, if I... Feb22-12 08:08 PM iceblits 0 875 Wondering whether somebody could help me with a quick integral?? dp/dt = ap(1-(p^2/q^2)) initial condition p(0) =... Feb22-12 04:23 PM phyzguy 3 1,150 I wonder why z^(-1/2) cannot be expanded in Laurent series with center z=0. Anyone knows? Feb22-12 03:30 PM jackmell 2 1,031 Hello, I am just starting to learn limit evaluation techniques. I am unsure of the method used in this case. (x^3 +... Feb22-12 10:14 AM qazi75 5 1,081 note that by limit I mean the calculus operation, as in limf(x) as x->a. I was playing around with numbers earlier... Feb22-12 08:52 AM HallsofIvy 10 5,538 Hi all, I have a set of data that is number of counts - vs - angle. I need one angle for a calculation. I need to... Feb22-12 01:16 AM chloealex88 0 618

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