Let f(x, y) = x 3 + y 2 - e -x - 1. (A) Find the

Question:

Let f(x, y) = x3 + y2 - e-x - 1.

(A) Find the average value of f(x, y) over the rectangle.

R = {(x, y)|-2  x  2, -2  y  2}.

(B) Graph the set of all points (x, y) in R for which f(x, y) = 0. 

(C) For which points (x, y) in R is f(x, y) greater than 0? Less than 0? Explain.  

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