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Question 6. Let f(x,y) = -x2 + 2xy - 2y2 -2y. Consider the surface S in R3 defined by z = f(x, y). (a) Find

Question 6. Let f(x,y) = -x2 + 2xy - 2y2 -2y. Consider the surface S in R3 defined by z = f(x, y). (a) Find a normal vector to S at the point (0,0,0) of S. (b) Find the maximum value of f in the region A = {(x,y) |2+y

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