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Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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Jan16-12 Greg Bernhardt
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 44,425
If I have a finite boundary, say of length L. Is it possible to demonstrate that if I were to allow all possible...
Feb23-08 09:18 AM
robousy
9 1,812
A hemisphere shaped tank with vertical outlet pipe is full of mysterious liquid. Find the work required to pump the...
Nov26-10 09:07 AM
HallsofIvy
1 1,812
\lim_{n\rightarrow \infty} \frac{2^{3n}}{3^{2n}} The answer is zero. All I can do is turn this infinity/infinity...
Oct18-04 11:30 PM
Tide
10 1,811
I am having a problem with a question from my calc 3 class. I don't think there is any calculus involved, however. So...
Sep27-08 04:26 PM
laluser
2 1,811
Hi! I am supposed to write the hyperboloid x^2 + y^2 - z^2=1 as a parametric funktion and find an expression for the...
Feb10-04 04:19 AM
LostInSpace
6 1,810
Thoughts: V=\frac{1}{3}\pi r^{2}h=\frac{1}{3}\pi (\frac{4}{5}h)^{2}h \frac{dV}{dt}=\frac{16}{25}\pi...
May6-05 08:45 AM
kleinwolf
1 1,809
Sketch the level curves in the xy-plane of f(x,y)=3-y-x^2 for k=0,2,4. Anyone mind helping/teaching me how to...
Jul2-07 04:22 PM
Proof.Beh
4 1,809
Hey..This is a question I am having difficulty in solving. 4x\angle2x+1\leq3x+2 First I removed the "1"from the...
Jan14-08 06:37 PM
Tom Mattson
3 1,809
I have attached a pdf of output from MAPLE attempting to evaluate an integral of an exponential function containing a...
Jan19-10 01:36 PM
tsunamiBTP
3 1,809
If we integrate a vector field over a surface, \int_S \vec{F} \cdot \vec{dS}, we get the flux through that surface....
Jun19-10 02:45 PM
thojrie
5 1,809
The definition of this function is Gamma(z) = integral(0, inf)(t^(z-1)e^(-t) dt) Well, I can't understand what...
Nov29-04 10:55 PM
Tiiba
2 1,808
I'm having trouble following the proof of the IFT by Spivak. The statement of the theorem was posted in a similar...
Feb27-11 11:02 AM
jambaugh
1 1,808
I am wondering is there any general analytic solutions to the following integrals First moment of area...
Jan21-12 06:51 AM
dragozarkovic
3 1,807
I've attached the .pdf from which I have questions. After it says "Take the square of the numerator" halfway down...
Sep25-12 03:55 PM
Simon Bridge
7 1,806
so I have a semi circle that goes from \frac{5\pi}{4} to \frac{\pi}{4} so the angle between the x axis the...
Nov12-09 09:37 AM
LumenPlacidum
1 1,805
Hi PFers, What I'm referring to is on p. 32 of Pugh's Real Mathematical Analysis. (trying to begin study early for...
Feb12-08 08:04 PM
HallsofIvy
3 1,805
can anyone give me a simple explanation what fourier analysis is all about? i have read wiki and it is a little...
Sep23-11 08:32 PM
quietrain
8 1,804
What restrictions must we place on a real-valued function F for F(x) = \frac{d}{dx} \int_a^x F'(y)dy to...
Mar22-10 02:46 AM
snipez90
3 1,804
Can somebody give me an example whereby I use the inversion with respect to a circle (unit circle or otherwise) and...
Sep24-10 11:22 AM
HallsofIvy
1 1,804
I know that legendre polynomials are solutions of the differential equation is (1-x^2)d^2y/dx^2 - 2x dy/dx+l(l+1)y=0...
Apr9-04 05:40 AM
matt grime
2 1,803
I am a little shaky with the concept of proving uniform continuity vs regular continuity. Is the difference when...
Oct11-04 11:01 PM
Hurkyl
1 1,803
What does the notation \partial \betaD\alpha mean? I came across it in General Relativity, so I think it's the set of...
Feb8-09 09:12 AM
HallsofIvy
3 1,803
I'm reading through a proof (the full theorem statement is at the bottom of the post) in a book on probability and I'm...
Feb20-11 03:03 AM
JFo
1 1,803
I came across this proof and have a question about the bolded portion: Consider the following objection to...
Jan7-12 10:38 AM
spamiam
10 1,803
let,s use some of game theory...let,s suppose we have a game played by n players with k parameters given by the...
Aug19-05 04:51 PM
TD
2 1,802
This is page #293 of the 1-st volume from 2-nd edition of Apostol's "Calculus & Linear Algebra". Well, the...
Aug15-06 09:50 AM
Office_Shredder
14 1,802
This has been posted before although I've come across it and got a differant answer from...
Oct28-06 02:34 AM
CDevo69
6 1,802
I'm trying to find the partial derivative of Q with respect to w0 and then set it equal to 0 and solve for w0. Finding...
Mar14-11 04:00 PM
bpk356
1 1,802
Hi to all of Physics forums community :), I'm not sure whether or not I am in the right section. If not, I...
Oct14-11 12:03 AM
MarcL
9 1,800
Here are two cool functions defined by power series: ...
Nov15-05 07:58 PM
benorin
4 1,800
The base of a cone-shaped tank is a circle of radius 5 feet, and the vertex of the cone is 12 below the base. The tank...
Oct22-07 10:55 PM
Feldoh
1 1,800
I am trying to understand the definition of the inner product of two functions on an interval. I know that the form of...
Nov19-09 02:00 PM
Prologue
14 1,800
I was wondering, if you have a non-conservative vector field (so that the line integral of each path from point A to...
Dec25-10 05:35 AM
elibj123
5 1,800
How can I "easily" solve or understand the application of derivative involving the rate of change?
Jul23-04 09:13 PM
mathwonk
10 1,799
Hello, I have the following equation \int \!v{dv}=-{\it GM}\,\int \!{y}^{-2}{dy}\]} Integrating I get... \}
Oct25-05 05:10 PM
opticaltempest
7 1,799
I was reviewing basic calculus of of functions of several variables. It struck me that in one of the exercises, it was...
Nov6-11 07:53 AM
Useful nucleus
5 1,799
Hi everyone, I am working on simplifying a differential equation, and I am trying to figure out if a simplification...
Dec29-12 06:33 PM
yayyyymath
8 1,799
I am having trouble finding the area between 2 polar curves..... I have the procedure down, but the bounds are...
Jul15-05 04:33 AM
itzela
2 1,798
Okay. The problem I have is: Let {x_n} be bdd and let E be the set of subsequential limits of {x_n}. Prove that E...
Oct18-06 03:36 PM
mathman
3 1,798
I've seen this formula stated and used, ( in a stanford university video lecture) \int \frac{dA}{dt}B\ dt = -...
Feb4-10 01:32 AM
ExtravagantDreams
6 1,798

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