Question: Familiarize yourself with parametric representations of important surfaces by deriving a representation (1), by finding the parameter curves (curves u = const and v =

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 x rv of the surface. Show the details of your work.

xy-plane r(u, v) = (u,   v) (thus ui + vj; similarly in Probs. 2–8).

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