Let S be the surface with parametrization G(u,v) = (3 + sin v) cos u,(3 + sin v)sin u,v
Chapter 16, Problem 32(choose chapter or problem)
Let S be the surface with parametrization G(u,v) = (3 + sin v) cos u,(3 + sin v)sin u,v for 0 u 2, 0 v 2. Using a computer algebra system: (a) plot S from several different viewpoints. Is S best described as a vase that holds water or a bottomless vase? (b) calculate the normal vector N(u,v). (c) calculate the surface area of S to four decimal places.
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