# 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 40,149 Hi All, I am reading a paper in which the following integral is presented $$\int_{-\infty}^{ct-x}... Sep17-13 11:01 AM muzialis 7 944 I wanted to do this integral$$\int_a^b \frac{dx}{1-x^2}  and I was able to get the right answer with the... Sep17-13 10:51 AM jackmell 15 975 My textbook states that "For the integral test to apply, it is not necessary that f be always decreasing. What is... Sep16-13 10:06 AM pasmith 1 673 Assume that a function f:\to\mathbb{R} is differentiable in all points of its domain, and that the derivative... Sep15-13 06:43 AM jostpuur 2 648 I'm trying to find a way to use calculus without infinitesimals and I'm stuck on this physics problem. It's a... Sep14-13 10:38 AM gopher_p 2 693 The mass of a sphere with density as a function of radius is M=4\pi \int_0^r\rho(r) r^2dr Lets say the... Sep14-13 03:01 AM JJacquelin 10 857 Everything I've encountered in physics so far allows infinitesimal numbers to be manipulated as real numbers. But... Sep14-13 01:16 AM Jd0g33 3 718 Is \frac{∂y}{∂x}×\frac{∂x}{∂z}=-\frac{∂y}{∂z}? Sep13-13 10:01 PM arildno 7 698 Suppose we are taking the variation of a multiple integral and the integrand contains some terms with \frac{\partial... Sep13-13 12:57 PM pasmith 7 851 Ok, there are a couple of other threads about this, but they don't seem to answer my question. If I take the double... Sep13-13 11:34 AM D H 13 862 When the limit of a function turns out to be infinity ,how should we interpret it ? For ex. we have \lim_{x \to... Sep12-13 05:46 PM Stephen Tashi 11 765 Hey there! I'm trying to calculate the Fourier Series for sin2x on For a0 I found 1/2. (By determining the... Sep12-13 04:31 AM vanhees71 4 1,045 Hello everyone, my first post :shy: I'm reading Zee's 'QFT in a Nutshell' and I came to one thing that bothers me -... Sep11-13 08:40 AM D H 9 630 My professor, when doing trig substitution in lecture, always defines theta between certain intervals and when he... Sep11-13 04:07 AM CAF123 4 523 Hi, i am trying to develop a CDF from a given MGF. The standard way of using the inverse Laplace transform etc.. is... Sep10-13 03:44 PM mathman 1 572 Hello, I have a doubt on how to differentiate a complex function f:ℂ→ℂ defined as follows: f(z)=zz^* where the *... Sep10-13 12:25 PM mathwonk 12 910 Hi! I do not understand the math used in the beginning of this video: http://www.youtube.com/watch?v=wulBI4ToZQ4 ... Sep10-13 11:26 AM Nikitin 2 581 I have a diffraction grating through which I shined a 532 nm laser. A detector which can pan 360˚ was rotated around... Sep10-13 10:44 AM Johnny Davens 0 382 I posted a question on stack about generalizing the methods of volumes by slicing & volumes of revolutions & came... Sep9-13 05:09 PM bolbteppa 2 536 I really want to learn calculus I and II by the end of this month, anyone willing to join me? Another person would... Sep9-13 04:35 PM new_at_math 0 539 Hey. I'm looking for a proof of: Theorem: If f \in C^1(\mathbb{T}), then the Fourier series converges to f uniformly... Sep8-13 03:33 PM brmath 6 899 So I've been spending a lot of time lately trying to figure out why an integral will give you the area under the... Sep8-13 12:09 PM arildno 4 577 Use the chain rule to show that dz/dx = (cos(theta) * dz/dr) - (1/r * sin(theta) dz/dtheta) and dz/dy =... Sep8-13 03:59 AM CompuChip 1 479 so this is from math lab x is a 2 kHz sinewave >> n = 0:1023; >> t = n/8000; >> x = sin(2000*2*pi*t); >> X =... Sep7-13 08:28 AM ZetaGuy 17 2,087 I want to substitute ds by dt in the Frenet-Serret Formulas where κ is the curvature and is the torsion:... Sep7-13 03:23 AM vanhees71 1 476 This is from a functional equation , i think there is no points in posting it here this is what i ant to prove the... Sep6-13 04:01 PM Andrax 2 432 Hi, I was reading something on conservative fields, in this example \phi is a scalar potential. (Please refer to the... Sep6-13 03:03 PM verty 4 447 how is the logistic function characterized by the differential equation df(x)/dx = f(x)(1-f(x)) -x), but this is... Sep6-13 07:55 AM pasmith 1 547 Hello, I am wondering if there is a forumula for the number of possible positions in chess after n moves. I... Sep5-13 08:07 PM AlephZero 7 600 Hi all, I am trying to hard to understand integral's transform. While an interpretation of Fourier transform is... Sep5-13 10:38 AM bolbteppa 3 1,062 i am having an issue finding the variational average of a stiffness matrix. The stiffness matrix is of a... Sep4-13 09:15 PM tricha122 0 548 Hi, I want to calculate a volume integral of a function f(r,theta). The limits for azimuthal and polar angle is of... Sep4-13 02:35 AM Astrum 7 551 Hi there, I have what I suspect is a straightforward question. I wish to take the total derivative of the... Sep3-13 03:38 PM mathman 1 462 how do we take derivative of modulus of a function?? Sep2-13 08:38 PM brmath 2 631 I do not understand the following integral: \int^{\infty}_{0}2e^{2+jωt}dt = \frac{j2e^{2}}{\omega} Why is it not... Sep2-13 03:47 PM jackmell 4 603 Hi! Does anybody know if there is something in common between Bernstein functions and Bernstein polynomials except the... Sep2-13 04:41 AM Tatianaoo 2 401 So dx means an infinitesimally small change in x. Why is the slope written \frac{dy}{dx} instead of \frac{f(x)}{dx}... Sep1-13 08:51 PM Mandelbroth 7 755 Hi PF-members. My intuition tells me that: Given a divergence free vector field \mathbf{F} , then the curl of the... Aug31-13 04:32 AM Wuberdall 2 646 I am interested to know whether the modified Bessel functions of the second kind, also known as BesselK, defined as ... Aug29-13 08:38 AM kd6ac 0 568 i am using textbook in classical mechanics by douglas gregory. It is known that rate of change of displacement with... Aug29-13 08:16 AM HallsofIvy 4 611