# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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 Meta Thread / Thread Starter Last Post Replies Views Views: 4,761 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 46,548 (Let me start by saying this: I am not good at math, nor have I ever been. What I want to do is simply an experiment... Sep6-10 01:45 PM deluks917 7 2,136 \int_{0}^{2\pi} \frac{dx}{1+e^{sin(x)}} How would you evaluate this integral? Where do you even start? Nov3-07 12:04 AM ice109 8 2,072 Ok well The integral is : \int \frac{1}{\sqrt{1-x^2}} \frac{1}{\arcsin x} dx. I can tell by inspection, it being... Feb20-07 09:57 AM d_leet 9 3,373 -------------------------------------------------------------------------------- Ok this is the question I had on a... Nov4-04 12:14 PM matt grime 1 937 I'm creating a computer program and I need to see what's most efficient. I need another program that I can input 3d... Nov15-12 08:08 PM haruspex 7 876 I need to create a function that has one turning point and one point of inflection. I have no idea what I'm doing! ... Jan6-05 04:26 PM mathman 1 1,409 Hi, I need to find the 6th point of a graph line. The line is not totally straight. Is there step I can take to... Sep26-11 10:47 AM genericusrnme 5 2,081 I've used many different power series representations of functions and seem to always take it for granted that... Sep12-12 05:06 PM Stephen Tashi 2 684 Consider the problem of solving overdetermined system Ax = b; In the problem I am trying to solve (from the... May5-14 10:34 AM Borek 5 551 Find Critical Numbers of: F(z) = (z+1)/(z^2+z+1) Did I start off correctly?? D/dz = - (z + 1)(2z+1)/(z^2+z+1)... Nov6-06 04:24 PM mathman 1 2,184 how do you find critical numbers, and do you have to keep on plugging in a number until you find zero or is their an... May2-07 10:54 AM HallsofIvy 5 5,242 I am a bit confused over something that should be relatively easy to research , however, I am having a hard time... Mar4-13 09:35 AM runningninja 1 514 V(x) = x(10-2x)(16-2x) When i V'(x) = 0... x is always a non real number... I don't know why, can someone help me... Nov21-03 12:35 AM ShawnD 1 1,409 let f(x)=sin(1/x)*x^2 for x not 0, and f(0)=0. show that x=0 is a critical point for f which is neither a local... Nov17-04 07:40 AM arildno 7 1,433 what can be said about the function f, if f is continuous on , and for some c in (a,b), f(c) is both a local maximum... Nov24-04 02:00 PM trap 2 1,118 for cos y the critical points are n*pi - 0.5*pi for cos 2x, the critical points should be n/2 * pi - 0.25*pi ... Feb2-13 06:07 PM pwsnafu 2 499 hi guys i'm stuck on this, i keep thinking i have the right answeres but i can't get them. the function is f(x):... Mar13-05 03:59 PM cronxeh 6 1,090 Ok so i got a mathematica assignment that asks "Find and classify the critical points of f(x,y)= 5-10xy-4x^2+3y-y^4 ... Mar29-05 11:38 AM dextercioby 4 3,767 I was given f(x,y,z) = x4 + y4 + z4 - x2 - y2 - z2. I found that (or least I think it's these) x = 0 & \pm1/\sqrt{2},... Oct9-09 09:43 PM squenshl 2 740 Are inflection points critical points? and what about at the value that f(x) undefined? Is that critical point too? Nov4-12 03:25 PM Bipolarity 2 607 Hi, Everyone: I am having trouble figuring out what the critical points would be for any such map f:R^n... Oct2-10 05:42 AM Petr Mugver 3 938 I have been studying the 'resummation' methods for divergent series..however i have some questions of critcs. ... May26-07 04:18 AM tpm 0 1,215 Hi, This is my first post. Sorry for the mistakes it certainly contains. I have two questions. First, is there a... Apr26-11 02:12 AM dextercioby 1 772 AX(BXC) = B(A(dot)C) - C(A(dot)B) For the left hand side I got (AyBxCy-AyByCx+AzBxCz-AzBzCx)x(hat) +... Jan12-05 07:35 PM Dr Transport 6 3,279 Hey, I have a problem that can be written in the following form: u=v x w where u, v, w are 3by1 vectors and x... Apr30-11 06:39 AM azizz 2 985 I just saw an instructor of EEE (YouTube) talk about Cross Product. He gave an example of when cross products are... Jul28-09 06:41 PM Phrak 16 1,242 Hi all, Just having some trouble understanding a certain example of cross product. It's actually for physics, but... Nov18-11 03:40 PM mathman 5 1,289 Hi. I have an integral of a cross product: \int a\times b(t)dt a does not depend on t. How can I move it... Oct16-11 01:29 PM timewalker 10 15,137 Hi everyone, What does \int \vec{f} × \vec{dl} mean? does it mean "The Line Integral of Vector Function on a... Feb11-14 07:23 AM Simon Bridge 7 652 Hello guys, this must be a very trivial question, but I just don't see it. Ihave a "vectorized quaternion"... Jul8-09 01:57 PM nburo 2 3,753 Hi, I've been trying to derive the electromagnetic stress tensor on my own, and I've run into a bit of a problem. I... Dec29-10 11:21 AM EricTheWizard 2 4,184 Is there any neat way/rule to write: \vec B \times (\vec \nabla \times \vec A) ? I've tried it myself and found... Mar1-05 06:53 PM dextercioby 3 12,346 The cross product between two vectors \vec{A}x\vec{B} and \vec{C} is given by the following equation:... Mar7-12 08:09 AM Mathoholic! 2 2,149 I have a question. Lets say you have three distinct, non zero vectors that lie in the same plane. Can I verify the... Mar8-13 01:39 PM timthereaper 4 864 "The area of a parallelogram spanned by two vectors, v1 and v2, is ||v1 X v2||." Would someone help me understand... Apr22-05 02:51 AM mkkrnfoo85 2 1,094 If the area enclosed by an ellipse 4x^2+y^2=1 and its cross section is perpendicular to the x-axis then its volume is?... Jan26-04 06:31 PM Nachtwolf 4 1,962 How do you find ∫ cscx dx? Nov16-03 12:37 AM reinhard_t 13 7,005 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 4 770 The question im looking at states: Prove that the elliptical function x^2 + 3y^2=b is orthogonal to the cubic... Nov3-07 06:33 AM HallsofIvy 1 1,937 Hi The curve C has equation y = f(x) and the point P(3,5) lies on C Given that f'(x) = 3x² - 8x + 6 The... Jan3-08 03:29 PM HallsofIvy 3 1,484

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