How many ways can you find the area of the surface with parametric equations: x=u^2, y=u*v, z=(1/2)*v^2 | u in [0,1]; v in [0,2] (state relevant theorems used)

Question

yuki · Answer

I would use double integrals finding the arclength of the parametric eqn. of x and y

then take the integral of that one using z

so you can find the arclenghts using two variables out of three,
three ways.

That's my guess.

anonymous · Answer

one way for sure, is finding the normal vector, then taking F dot n dS

and the whole thing is 4 pi... just looking for an easier way