Recent content by llooppii

Homework Statement Reparametrize the curve with respect to arc length measured from the point where t=0 in the direction of increasing t. r(t) = [e^(2t)cos(2t)]i+2j+[e^(2t)sin(2t)]k Homework Equations i know that the derivative of the arc length with respect to t = magnitude of...

Homework Statement I don't know if this belongs here, but we are currently learning about Euler's formula in class. I was wondering if anyone knew some interesting applications of the formula. Homework Equations e^ix = cosx + isinx The Attempt at a Solution I looked on...

Prove that the interior bisectors of two of the angles of a non-isosceles triangle and the exterior bisector of the third angle meet the sides of the triangle in three collinear points. I hope this is posted in the right area because it is concerning geometry! I've been trying at this...

i must have done the ratio test wrong then, but it would still fail if it equals 1 though, rite? and I am not too sure about nlogn, but i definitely see how 1/2n works. thank you very much micromass and Dick, i really appreciate your time!

i really can't think of anything that works because i always end up having n^n for i don't know a test for...

Ah thank you! That really helped. Could i just say that because n^(1+1/n) is always greater than n, that the series must converge because p-series states that p > 1, then the series converges??

I don't know that test. How does it work?

Homework Statement Determine whether the series (from 1 to infinity) \Sigma 1/(n^(1+1/n)) converges. The Attempt at a Solution I know that since it is positive, continuous, and decreasing, I am able to use the integral test, but I don't know how to anti-differentiate that. I've...