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.

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- Feb 20th 2007, 08:04 PMggwunassign problem
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.

- Feb 22nd 2007, 02:57 PMPlato
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)).