(a) Describe the graph of g(x, y, z) = x2 + y2 by computing some level surfaces.
(b) Suppose g is a function such that the expression for g(x,y,z) involves only x and y (i.e., g(x, y, z) = h(x, y)). What can you say about the level surfaces of g?
(c) Suppose g is a function such that the expression for g(x,y,z) involves only x and z. What can you say about the level surfaces of g?
(d) Suppose g is a function such that the expression for g(x,y,z) involves only x. What can you say about the level surfaces of g?
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