(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) ...

a With m n 2 we have four squares with midpoints 1 2 Midpoint Rule give ...

(a) Use the Midpoint Rule for double integrals with m = n = 2 to estimate the...

Question:

(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).