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Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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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 40,052
If lim as y->infinity = (1/2)* , What is A(x,y)?
Aug21-09 09:56 PM
redphoton
2 953
Hello all, I am stuck on what seems like a rather simple problem: Let f:\mathbb{R}^3 \rightarrow \mathbb{R} and...
Aug21-09 10:04 AM
Tac-Tics
3 980
I had this integral \int \frac{dy}{-2y + 6}. I realize you can let u = -2y + 6 so that du = -2dy, and adjusting:...
Aug21-09 12:53 AM
Unit
6 849
In one of my electronics textbooks I have the following equation related to feedback in amplifiers: K_f =...
Aug20-09 11:40 PM
bitrex
2 747
Hi, can someone give me a hand with this "little" integral please. \int...
Aug20-09 07:37 PM
mvillagra
4 877
For a function sin(2x)^(-1/2) in ]0, pi/2[ counts: D2(f) + f = 3*D(a) where Da stands for the a'd derivative So is...
Aug20-09 02:51 PM
JanClaesen
10 1,146
Given two sequences (hyperreal numbers): (2,1,2,1....) and (1,3,1,3...) how can I order these? They are not...
Aug20-09 12:25 PM
Bourbaki1123
6 635
How would I evaluate the integral \int\int\int_{G} \sqrt{4x^2+9y^2} dV, where G is the elliptic cylinder 4x2+9y2...
Aug19-09 05:47 PM
squenshl
7 815
Show that the evaluation of the pullback of a constant 1-form k_{1}dx + k_{2}dy + k_{3}dz over the directed line...
Aug19-09 04:38 PM
Reb
1 1,015
I am considering the set of all bounded signals given by X = \left\{ x:\ |x(t)| \leq X_{\max}, \forall t...
Aug19-09 04:00 PM
Reb
3 621
Taylor's Inequality states: if |f n+1(x)|<=M then |Rn(x)|<=M*|x-a|^(n+1)/(n+1)! however, Rn(x)=f...
Aug18-09 03:46 PM
HallsofIvy
1 894
How do you prove a function is invertible using calculus? I have a question on my review packet and it says to show...
Aug18-09 02:38 PM
Tac-Tics
6 8,613
How do I evaluate the triple integral \int\int\int_G x+y+z dV using a suitable change of variable where G is the...
Aug17-09 05:20 PM
squenshl
5 868
How do u tak the derivative of X = (cos@)/(sin@) dx/d@ = ????
Aug17-09 08:31 AM
Дьявол
9 714
This Fall, I'll be an incoming freshman taking my school's equivalence to "Intro. to Proofs" class. However, I've been...
Aug17-09 01:53 AM
Edgardo
18 1,830
\sum_{n=1}^{\infty}(-1)^{n}\frac{e^{-\frac{1}{nx}}}{n} Where 0<x<oo. I'm looking for a closed form/ closed...
Aug16-09 06:31 PM
rman144
5 1,672
Like many people on this forum, i am seemingly having a lot of trouble grasping the concepts of Epsilon Delta proofs...
Aug16-09 06:09 PM
patata
2 868
Can someone please correct my working out... \frac{\beta^2}{(x-1)(x-2)} - \frac{\beta^2}{(x-1)^2} ...
Aug16-09 12:11 AM
confused88
2 680
How would I evaluate the triple integral \int\int\int_H(x^2+y^2) dV, where H is the region bounded x2 + y2 = 1, y =...
Aug15-09 11:18 PM
squenshl
3 657
Given the triple integral \int\int\int_{G} xyz dV Where G is the region bounded by x=1, y=x, y=0, z=0, z=2. How do I...
Aug15-09 08:36 PM
squenshl
2 2,089
given only f ' (x) , is it possible to find the slope of the secant for a given x_1 and x_2 without integrating? If...
Aug15-09 05:44 AM
arildno
13 916
I was given this review problem in limits. LimX --> inf. (1 - X + X2)1/2 - aX - b = 0. I was asked to find a and...
Aug15-09 01:22 AM
WiFO215
4 736
Dear friends, I am a new member of physics forums, so this is may new message. Already thanks to you for your...
Aug14-09 01:56 PM
HallsofIvy
3 3,374
What can I conclude using the following theorem? Let the functions u_n (x) be continuous on the closed interval ...
Aug14-09 01:04 AM
jostpuur
6 816
ok I wanna clear my broad views upon calculus.. first of all I wuz taught calculus 2-3 years back with differentials...
Aug14-09 12:36 AM
berkeman
6 942
Recently I have begun thinking about the function x^x. I am well aware that there is no elementary function to define...
Aug13-09 05:59 PM
Big-T
6 1,262
I know how to prove \int\limits_0^{\infty} \frac{\sin(x)}{x}dx = \frac{\pi}{2} using complex analysis, and I...
Aug13-09 12:50 AM
jostpuur
2 2,534
sorry im so dumb, coz i forgot all maths over the holidays.. but if y = x/z then how do you calculate dx/dy?
Aug12-09 10:54 PM
jgens
3 608
Hello, I was trying to prove that the Laplace transform is unique and was wondering if anyone could tell me if I've...
Aug11-09 03:28 PM
Mute
5 3,358
\sum_{n=1}^{\infty}(-1)^{n}\frac{e^{-(nx)^2}}{n^{1-m}} Where m is an integer and 0<x<oo. I need a closed form...
Aug11-09 02:30 PM
rman144
4 906
Is there a way to perform a contour integral around zero of something like f(z)/z e^(1/z), where f is holomorphic at...
Aug11-09 01:49 PM
StatusX
2 2,233
(I already have self-taught calculus) Are there functions f:\mathbb{R} \rightarrow \mathbb{R} that are EVERYWHERE...
Aug11-09 10:37 AM
g_edgar
10 2,436
Hello, I am trying to find an analytic solution to the following: \int_{-1}^{1}\exp(-p\sqrt{1-x^{2}}-qx)dx ...
Aug11-09 09:21 AM
appelberry
8 2,106
Infliction point exist where concavity changes. Say y=a is a vertical asymptote. If f(x) approaches infinity from the...
Aug10-09 02:31 PM
caljuice
3 2,559
Find the arc length. x = sqrt(t) y = 6t - 2 Interval from 0 to 5 inclusive. Whenever I do this, I get a long...
Aug10-09 12:04 PM
boris1907
2 4,766
Hi, I am reading Baby Rudin on my own to get prepared for the analysis class that I will be taking in the fall. I...
Aug9-09 06:02 PM
rasmhop
3 1,782
Hi. I have this integral \int_0^{2\pi}\int_0^\pi \mathbf A\cdot\hat r d\theta d\phi where \hat r is the...
Aug7-09 01:44 PM
GPPaille
1 2,111
Hi, I am not really sure whether its over the surface of the sphere or the Volume, the problem and the solution...
Aug7-09 05:33 AM
tim85ruhruniv
1 2,651
sin^7(x)
Aug7-09 05:22 AM
CompuChip
1 2,025
Hello, I just registered for a calculus course and the math department told me to buy "Stewart's 'Essentials...
Aug6-09 11:03 PM
Elucidus
3 1,635

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