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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 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
I`ve encountered this limit in a book i`ve 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

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