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...
\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
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...