(a) Sketch the surface z = f(x, y) = y2 in three dimensions.(b) Sketch the level curves
Chapter 14, Problem 73(choose chapter or problem)
(a) Sketch the surface z = f(x, y) = y2 in three dimensions.(b) Sketch the level curves of f in the xy-plane.(c) If you are standing on the surface z = y2 at the point(2, 3, 9), in which direction should you move toclimb the fastest? (Give your answer as a 2-vector.)
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