(a) Use the Midpoint Rule for double integrals with m n 2 to estimate the area of the surface z xy x 2 y 2 , 0 x 2, 0 y 2 (b) Use a computer algebra system to approximate the surface area in part (a) to four decimal places Compare with the answer to part (a)

Question: (a) Use the Midpoint Rule for double integrals with m = n = 2 to estimate the area of the surface z = xy +

(a) Use the Midpoint Rule for double integrals with m = n = 2 to estimate the area of the surface z = xy + x² + y², 0 < x < 2, 0 < y < 2.
(b) Use a computer algebra system to approximate the surface area in part (a) to four decimal places. Compare with the answer to part (a).

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