Question

reparametarize the curve alpha in alpha(t)=(e^t,e^-t,2t) using h(s)=logs on j:s>0

Answer 1

x=e^t, y=e^-t, z=2t;

t=log(s): x=e^log(s)=s; y=e^-log(s)=1/s; z=2t=2log(s)

alpha(s)=(s, 1/s, 2log(s))