Let rtetcostetsintet What is the value of rs when s1826 wher

Let r(t)=((e^t)cost,(e^t)sint,e^t). What is the value of |r(s)| when s=1.826, where r(s) is r(t) reparametrized by arclength, starting at t=0?

Solution

http://www.wolframalpha.com/input/?i=r%28t%29%3D%28%28e^t%29cost%2C%28e^t%29sint%2Ce^t%29 This is the plot and also gives the vector length.