(a) In words, describe the level surfaces of the functionf(x, y, z) = a2x2 + a2y2 + z2

Chapter 13, Problem 4

(choose chapter or problem)

(a) In words, describe the level surfaces of the functionf(x, y, z) = a2x2 + a2y2 + z2, where a > 0.(b) Find a function f(x, y, z) whose level surfaces form afamily of circular paraboloids that open in the positivez-direction.

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