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

r(u, v) = [u cos v, u sin v, v]. Explain the name.

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