Recent content by karadda

Hello, just got done taking a test and one problem kinda confused me. Homework Statement f(x,y) = e^x cos y find local min/max and saddle points Homework Equations fx = e^x cos y fy = -e^x sin y The Attempt at a Solution I answered that there were no critical points for...

! thank you both very much. I'm going to go practice a few (lots) more of these.

\Sigma (-1)^n x^(2n) / (2n)! from n = 0 to infinity It's almost exactly like my integral except for the 1/6 out front and the pi/6 inside. does that mean pi/6 is the x value? 1/6 cos (pi/6) = \sqrt{3} / 12

f(x) = cos x Though its not exactly what I'm looking for, it matches that criteria... I think. I still don't quite understand why these comparisons with well known series is useful. I find a series like the one I have, manipulate it a bit to look like it..then integrate an improper integral?

Homework Statement http://imgur.com/KE9lZ.png" I'm reviewing for my calculus II exam, and I'm unable to solve any problems of this type "find the sum of the series." sometimes i'll be given a series in sigma notation (like this problem), and sometimes i'll be given the first few terms of...

Homework Statement sqrt(1+x^4) use the binomial series to find the maclaurin series for the above function. then use that to find the 15th derivative at 0. Homework Equations -binomial series The Attempt at a Solution I've gotten to: \Sigma (k n) (x^(4n)) from n=0 to...

oh, I am not too sure what to do with it. i understand that the limit goes to infinity, UNLESS x = 1/2 in which case it goes to 0. how do i proceed knowing that? nm, i should just stop there ;) 1/2 is the only value of x for which this will converge, so the interval of convergence is {1/2}...

Homework Statement \Sigma n!(2x-1)^{}n from n=1 to infinity Homework Equations -ratio test The Attempt at a Solution lim n-> infinity | (n+1)!(2x-1)^(n+1) / n!(2x-1)^n | lim n-> infinity | (n+1)(2x-1) | |2x - 1| lim n-> infinity | (n+1) | -1 < 2x -1 < 1 0 < 2x < 2 0 < x < 1 I know at...

Here's a diagram of the problem and the exact wording: http://imgur.com/8aaNn.jpg

Homework Statement r = <0,16,0> m m1 = 69kg m2 = 6e24kg (earth) I need to compute the gravitational force on the object (m1) as a vector Homework Equations F = GMm/r^2 The Attempt at a Solution I get 1.08e14, which is incorrect. I have a feeling I am calculating a magnitude instead of a...