- #1
withthemotive
- 21
- 0
Homework Statement
Consider the curve r = (e^−2 t cos(3 t), e^−2 t sin(3 t), e^−2 t) .
Compute the arclength function s(t) : (with initial point t=0 ).
The Attempt at a Solution
r'(t) = <-2e^-2t*cos(3t) + e^-2t*-3sin(3t), -2e^-2t*sin(3t) + e^-2t*cos(3t), -2e^-2t>
Then what, do I find the length of that derivative?
Then take the integral of 0 to t?
I dunno.