Show that the level curves of the cone z =x2 + y2 andthe paraboloid z = x2 + y2 are

Chapter 13, Problem 3

(choose chapter or problem)

Show that the level curves of the cone z =x2 + y2 andthe paraboloid z = x2 + y2 are circles, and make a sketchthat illustrates the difference between the contour plots ofthe two functions.

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