Question: (a) Evaluate the following limits or explain why they do not exist. lim _r (zy)=(00) =% + y? 3 m 1Y (z4)=(00) iz tan(z? +

(a) Evaluate the following limits or explain why they do not exist. lim _r (zy)=(00) =% + y? 3 m 1Y (z4)=(00) iz tan(z? + y?) m ot @y)-00) 22+ 3y? (b) Consider the function g(z,y, z) = z2 + 22. What are the level surfaces of g7 Sketch the level surfaces corresponding to k = 1. (c) Suppose that a function f(z,y) has contour plots consisting of the lines y = 2z + k. Find an expression for the function f(z, y). What kind of surface is the graph of this function

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