reparameterize the curve r(t)=<(e^t)*sin(t), (e^t)*cos(t)> with respect to its arclength measured from (0,1) in the direction of increasing t.

Results 1 to 2 of 2

- February 20th 2007, 09:04 PM #1

- Joined
- Feb 2007
- Posts
- 44

- February 22nd 2007, 03:57 PM #2
I think that no one has tired answer because of the lack of TeX.

I will try to give some help.

Try to show that ||r’(t)||=e^{t} sqrt(2).

Then s(t)=Integral{0,t} ||r’(u)||du. Write t as function of s; then write r(t(s)).