# 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 40,050 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 0 711 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 2 828 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 1,018 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 1,281 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 3 937 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 1 988 My textbook (Taylor, Classical Mechanics) and professor introduced the concept of \nabla_{1} to mean "the gradient... Feb25-12 12:30 AM lugita15 3 1,093 I posted a problem called "estimating eigenvalue of perturbed matrix" in the section 'Linear and abstract algebra'... Feb24-12 10:54 PM julian 2 649 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 2 853 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 1,138 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 1,642 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 2,533 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 1,185 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 1,075 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 0 863 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 1,087 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 1,144 "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 1,144 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 1,033 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 0 874 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 1,141 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 1,075 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 5,523 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 http://www.math.northwestern.edu/courses/placement/220_Self_Placement.pdf Question 7 here involves a function with... Feb21-12 02:14 PM Rasalhague 4 1,067 Aloha! This is my first post, and I hope that I am posting in the correct area... I need help with a math... Feb21-12 01:05 PM T.A. Zenaide 6 1,354 I see equations of the form, y=\int_{-\infty }^{t}{F\left( x \right)}dx a lot in my texts. What exactly does... Feb21-12 11:44 AM Char. Limit 3 1,033 The text book used in one of my courses talks about expanding functions in powers of 1/z aka negative powers of z. ... Feb20-12 02:44 PM Harudoz 2 1,945 Hi, In my fluids work I have come to integrals of the type: \int_{0}^{\infty}\frac{e^{ikx}}{ak^{2}+bk+c}dk I... Feb20-12 04:41 AM hunt_mat 4 1,100 Say we are solving an indefinite integral ∫x√(2x+1) dx. According to the textbook, the solution goes like this. ... Feb20-12 02:55 AM Chsoviz0716 4 1,259 I am checking my homework with mathematica, but sometimes when I write stuff like D , which is supposed to give me... Feb19-12 08:53 PM lurflurf 1 1,070 greetings . we have the integral : I(s)=\int_{0}^{\infty}\frac{s(E_{s}(x^{s})-1)-x}{x(e^{x}-1)}dx which is... Feb19-12 07:18 PM mmzaj 2 1,113 I need to solve the following problem for a school assignment. Let λ(t) denote the failuer rate of a system at time... Feb19-12 06:04 PM Char. Limit 7 1,181 What I know from the chain rule is that if y and u are differentiable with respect to x then dy/dx = (dy/du)*(du/dx) ... Feb19-12 04:47 PM alexfloo 5 999 Hello guys, would you please check the solution attached with this post and whether it's right or wrong ??? if... Feb19-12 03:29 PM Mechano 4 1,104 I was reading a section on vector fields and realized I am confused about how to take partials of vector quantities. ... Feb19-12 12:44 PM The Head 10 1,810 Hi, I need a 3-variable function f(x,y,z) with the following properties: Denote fij=∂f2/∂i∂j. 1, f(x,y,z) must... Feb19-12 11:31 AM loveinla 0 833 Is the imaginary axis considered a closed curve on the Riemann Sphere? Feb18-12 05:17 PM lavinia 1 924 A function defined on ℝ is continuous at x if given ε, there is a δ such that |f(x)-f(y)|<ε whenever |x-y|<δ. Does... Feb17-12 07:42 PM Flying_Goat 3 1,007