Represent the paraboloid in Prob. 5 so that N^∼(0, 0) ≠ 0 and show N^∼.

Data from Prob. 5

Familiarize yourself with parametric representations of important surfaces by deriving a representation (1), by finding the parameter curves (curves u = const and v = const) of the surface and a normal vector N = r_u × r_v of the surface. Show the details of your work.

r(u, v) = [u cos v, u sin v, u²]