In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.

(A) Explain why f(a, b) = f(c, d) whenever (a, b) and (c, d) are points on the same circle with center at the origin in the xy plane.

(B) Describe the cross sections of the surface z = f(x, y) produced by cutting it with the planes x = 0, y = 0, and x = y.

(C) Describe the surface z = f(x, y).

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Let f(x, y) = 4√x² + y²