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

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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 = ru × rv of the surface. Show the details of your work.

r(u, v) = [u cos v, u sin v, u2]

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