Question

Hi--can anybody show me how to do this?

Find the length of the curve r(t)= (sqrt2)i + (sqrt2)j + (1-t^2)k from (0,0,1) to (sqrt2, sqrt2, 0).

Thank you!!!!!!!

Answer 1

I don't see how the curve can go through the starting point of (x,y,z) = (0,0,1), if the x and y coordinates are alwsys sqrt 2. Are you sure you copied the problem statement correctly? When t = 1, you do end up at (sqrt2, sqrt2, 0).