Multivariable & Vectorhard
0:00.0

Compute the surface area element dSdS for the parametric surface r(u,v)=(ucosv,usinv,2u)\vec{r}(u,v) = (u \cos v, u \sin v, 2u) where 0u2,0v2π0 \le u \le 2, 0 \le v \le 2\pi (a cone). What is dSdS?