Problem

This problem concerns the surface determined by the graph of the equation x2 + xy − xz =...

This problem concerns the surface determined by the graph of the equation x2 + xy xz = 2.

(a) Find a function F(x, y, z) of three variables so that this surface may be considered to be a level set of F.

(b) Find a function f (x, y) of two variables so that this surface may be considered to be the graph of z = f (x, y).

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