Recent content by meson0731

Yeah i tried changing it into hyperbolic but it just got even more messy...

So i have to actually do that integral? Is there a way to write it in differential form or another form that would be easier?

Homework Statement Evaluate ∫(x^3 + y^3)ds where C : r(t)=<e^t , e^(-t)>, 0 <= t <= ln2 c Homework Equations The Attempt at a Solution I tried to parametrize the integral and change ds to sqrt(e^(2t) + e^(-2t)) dt. I then change (x^3 + y^3) to...

Homework Statement Given the polar function r = 4cos(3θ) find the curvature. Homework Equations The Attempt at a Solution I know there is a formula for curvature of a polar function but I was never given that equation and was told to convert to parametric. and use ||v x a|| /...

Homework Statement Given vector a and b, let vector v = (|a|b + |b|a) / (|a| + |b|). Show that vector v bisects the angle created by vector b and a. Homework Equations cos(θ) = a dot b / (|a||b|) The Attempt at a Solution I used the dot product equation to find angle between a...

Ahh thanks didn't know you could do that

Homework Statement Eliminate the parameter and express in x and y x= 2-3cos2t y= 5+7sin2t Homework Equations The Attempt at a Solution I tried changing them in terms of cos^2t and sin^2t. I change the first equation into ((x-5)/6) = cos^2t. But I can't figure out...

I just realized that I wrote it wrong :rolleyes: . I got lim as x > infinity of (2n+2)/(n+1) which is 2.

When i did the ratio test i did get 2 for the limit. Does this mean that I did it right?

I don't see how you rewrote it like that. Would my method of using the ratio test work? And if so how exactly would the top partion cancel out.

Homework Statement summation 1 to infinity (2*4*6*8*...*(2n)) / (n!) Homework Equations The Attempt at a Solution I'm a little confused on the "..." part... I used the ratio test and the numbers obviously cancel out, but I am not sure if the (2n+2)/(2n) part cancel out to just...

ahh your right lol... its just cos(pi/12). Thanks!

Homework Statement If possible, evaluate the sum : http://www4a.wolframalpha.com/Calculate/MSP/MSP31841a0i89gaa1b8f5c80000373e40eh779f93h7?MSPStoreType=image/gif&s=17&w=109&h=47 Homework Equations The Attempt at a Solution Not really sure what to do. I've tried writing out the...