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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 46,611
hi there, just new to this form
Nov12-09 04:25 PM
mathman
4 1,156
Hi, I need two simple proofs of complex inequalities. 1) |1-z|/|z|<2 2)|1+z|/|z|>1/2 Ik need them for a...
Nov12-09 03:03 PM
Belgium 12
2 737
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 1,858
I need to find the vertical sections and level curves of the function z=max(x,y^2) associated with the constant...
Nov12-09 08:55 AM
LumenPlacidum
1 2,009
Hello! I wanted to solve this integral but really didn't understand the method show in the book. Can anyone help me...
Nov11-09 03:37 PM
kranav
2 902
Let b be a real number. Correct me if I'm wrong, but it seems that: (1) The interval (b,b) is empty, as are the...
Nov11-09 03:30 PM
Hurkyl
1 594
What is the algebra required to rewrite the nth term of: (sum from n=0 to infinity) of (pi^n)/(3^n+1) in geometric...
Nov11-09 03:16 PM
ollybabar
2 2,107
Hi all, In proof of derivative of lnx, \frac{d}{dx}(lnx)=\lim_{\Delta x\rightarrow 0}\frac{\ln(x+\Delta x)-lnx...
Nov11-09 01:01 PM
l'Hôpital
1 2,957
given the set of moments m_k obtained from the known measure w(x) \int _{-\infty}^{\infty}dx w(x) x^{k} = m_k ...
Nov11-09 12:31 PM
zetafunction
0 617
Recently, I proved that Given f:A \rightarrow \mathbb R is uniformly continuous and (x_{n}) \subseteq A is a Cauchy...
Nov10-09 04:45 PM
snipez90
3 984
define F(x)=x, then uF is the lebesgue stiljes measure duF=dx Let y=x^2 we all know that how to transform \int...
Nov10-09 06:58 AM
emamm
4 2,054
The energy of a magnetic dipole in an external magnetic field is U = - \mathbf{m} \cdot \mathbf{B} Yet if I try to...
Nov9-09 04:16 PM
fantispug
8 5,572
I always have trouble sketching regions and solids. For example, if one solid described by the inequialities (in...
Nov9-09 12:44 PM
LCKurtz
2 1,726
If two spheres of radius 1 intersect each other so the surface of each sphere passes through the other’s center how...
Nov9-09 11:44 AM
volleyball21
2 1,286
Hey: How to get the green function for laplace equation with dirichlet on the boundary for a CUBE domain? I've...
Nov9-09 10:48 AM
Kaiser.LIU
0 3,064
How would I calcluate a surface integral in dimensions greater than 3. For example, from the definition of a...
Nov9-09 09:49 AM
Hurkyl
1 806
Hello, The general solution of a differential equation for y'+P(x)y=G(x) is y(x)=e^{-\int P(x)dx} for y'+xy=x...
Nov8-09 12:07 PM
coki2000
2 2,832
I'm trying to express the polar rose as an implicit function: r(t)=sin t x = sin t * cos t y = sin^2 t Since...
Nov8-09 06:44 AM
tiny-tim
10 1,587
Hello! Can you tell me the sufficient condition for the existence of the vector potential? Thank you very much!
Nov7-09 07:19 PM
ManuelF
4 1,126
As mentioned in the title~ Could anyone give me a hint or an idea ? Thanks~
Nov7-09 10:17 AM
abcdefg10645
2 3,103
I'm not completely familiar with measures yet, but am trying to be. I'm trying to show a that a few sets in Rn have...
Nov7-09 09:36 AM
rochfor1
6 3,701
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 1,853
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 1,857
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
2 646
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
2 736
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 2,930
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 1,367
Hello - I have a problem in general finding the region in which the Laurent series converges... Could someone...
Nov5-09 03:49 AM
Butelle
4 966
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 1,951
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
4 804
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 1,355
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
4 948
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 1,154
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 1,089
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
2 934
nm, made a logical error. back to the drawing board.
Nov3-09 10:53 PM
TaylorWatts
0 684
Hi: ____________________________________________________________________ Added Nov.3, 2009 (For anyone who can't...
Nov3-09 03:30 PM
JG89
1 1,448
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 2,271
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
3 950
Is it true that every open set contains a compact set?
Nov3-09 06:42 AM
g_edgar
3 2,048

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