# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 2,561 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 46,279 given a function f(x) with a truncated Taylor series f(x)= a_{0}-a_{1}x+ a_{2}x^{2}-a_{3}x^{3 }- ... even in... Nov7-09 05:48 AM zetafunction 0 1,844 I'm trying to show that a function f(z) is analytic by showing f'(z) exists. But f(z) is defined in terms of a contour... Nov6-09 07:18 AM Phyisab**** 2 1,833 Could someone explain this to me please where n=y/squareroot(4vt) ∂C/∂t=(dC/dn)(∂n/∂t)=-(1/2)(n/t)(dC/dn) When i... Nov5-09 08:48 PM juice34 2 643 My textbook notes that if: \frac{x^{2}}{a^{2}}+ \frac{y^{2}}{b^{2}} + \frac{z^{2}}{c^{2}}=1 and a \neq b \neq c... Nov5-09 07:55 PM IniquiTrance 2 733 I honestly enjoyed using James Stewart (yes heathen) when I did calc I, II, III and now these forums are buzzing with... Nov5-09 04:52 PM heldervelez 5 2,923 I am trying to measure a concrete structure to compute the surface area. I have included a sketch of the structure... Nov5-09 12:21 PM jonlorio 1 1,362 Hello - I have a problem in general finding the region in which the Laurent series converges... Could someone... Nov5-09 03:49 AM Butelle 4 963 the idea is , do orthogonal polynomials p_{n} (x) have always REAl zeros ? for example n=2 there is a second... Nov5-09 03:46 AM HallsofIvy 5 1,938 Does anyone know how to solve for x in the following equation: x + \sqrt{x} = 6 I don't know how to solve for x... Nov5-09 03:43 AM HallsofIvy 4 797 How do you explicitly solve for x in terms of y using this quadratic formula? y = 2x2 + x I need to solve for x... Nov5-09 03:36 AM HallsofIvy 2 1,343 would in = an infinite amount of real possibilites if n is complex. considering that 1+0i is still a complex number,... Nov4-09 05:26 AM slider142 4 941 Ive encountered this limit in a book ive been reading. \lim_{t_c \rightarrow 0} \frac{1}{t_c} \int_0^{\infty}... Nov4-09 04:44 AM muballitmitte 1 1,150 If you have dv/dt you say to yourself its the derivative of v with respect to t. But in an example of deriving the... Nov4-09 04:01 AM HallsofIvy 9 1,088 How to prove the following inequality: for complex z such that Re z < 0 : \left| e^z-1\right| < \left| z\right| ? Nov4-09 02:14 AM smyroosh 2 928 nm, made a logical error. back to the drawing board. Nov3-09 10:53 PM TaylorWatts 0 680 Hi: ____________________________________________________________________ Added Nov.3, 2009 (For anyone who can't... Nov3-09 03:30 PM JG89 1 1,442 So I'm supposed to do this but is it just me or is it too hard to do this analytically? (I put it into wolfram online... Nov3-09 07:56 AM Pere Callahan 1 2,257 Please help required with this integral: (x/(x-a))^0.5 where "a" is a start distance of 10^-3 and the final distance... Nov3-09 07:20 AM Per Oni 3 943 Is it true that every open set contains a compact set? Nov3-09 06:42 AM g_edgar 3 2,037 Hi all, I'm trying to solve the definite integral between 0 and inf of: exp(a*x^2 + b*x + c)... Nov3-09 03:29 AM fchopin 4 1,373 Hi, I can't solve this integral \int^{1}_{0}\\e^{x^2}\\dx Can I solve this integral like gaussian integral?... Nov3-09 02:05 AM Gib Z 8 6,642 The reason I'm posting this is because I just took an exam and this was one of the questions, and it was so easy I... Nov2-09 06:56 PM mathman 2 760 I need to find the volume between the cone z=sqrt(x^2+y^2) and the sphere x^2+y^2+z^2=1 that lies in the first octant.... Nov2-09 06:18 PM LCKurtz 1 2,923 I've posted on this before and have now realised I was doing it completely wrong before but's still bugging me. I have... Nov2-09 06:11 PM LCKurtz 1 3,497 Hey, I've been studying condition numbers for matrices. I found a past exam question that asks if the notion of... Nov2-09 03:10 PM hotvette 1 2,437 Hello everybody I am new here, so not sure if this is really the right category. Have recorded numerous... Nov2-09 02:32 PM Feldoh 1 623 By Weierstrass approximation theorem, it seems to be obvious that every continuous function has a power expansion on a... Nov2-09 10:17 AM LCKurtz 10 5,166 If a function can be represented by a Taylor series at x0, but only at this point, (radius of convergence = 0), is it... Nov2-09 12:45 AM edwinksl 7 797 I was wondering if anyone knows of an example where f and g are two functions that do not have limits at the real... Nov1-09 08:06 PM l'Hôpital 1 1,815 A reservoir in the shape of an inverted cone has a radius of 2 meters at the top and a depth of 6 meters. Wine is... Nov1-09 06:37 AM StalkerM 2 3,961 lim (x^2-4y^2)/(x+2y) as (x,y)->(-2,1) Does this limit go to -4 or DNE since it is undefined all along x+2y? Nov1-09 06:28 AM arildno 2 957 Hello, If a function, say u, is smooth and L^2 on R^n. Will it be bounded?? In the case of n=1 I would say that... Nov1-09 05:42 AM stradlater 4 805 hi there, i have problems to calculate following integral: int{ arctan } dx any ideas? thanks for the help Oct31-09 07:07 AM klaus 8 1,032 Hello, I am trying to understand how to reparameterize a Hermite curve described by the parametric vector function... Oct31-09 03:03 AM HallsofIvy 1 1,271 OK, this is going back to a problem I studied back in Calculus class; it's been a few years since I graduated, so bear... Oct30-09 08:54 PM KoopaCooper 10 2,141 Dear All, I am working on the wave equation in the spherical coordinate and come across with the recursive... Oct30-09 04:54 PM kzhu 0 941 I couldn't figure out what to do with this type of integration \int (a x^{2}+ bx +c) ^{\frac{m}{n}}dx here m, n... Oct30-09 12:52 PM mdnazmulh 8 975 I have a set of data for an absorption spectra that I plot the firtst derivative of and it gives me a gaussianish... Oct30-09 12:26 PM Pere Callahan 1 2,108 Hi I'm trying to evaluate the following indefinite integral, where s is any positive real number \int... Oct30-09 08:01 AM Gib Z 5 744 Ok, I'm trying to solve this physics problem and I've come to the following integral (d is taken to be some constant):... Oct29-09 06:50 PM mathman 2 1,338