(a) Use the Midpoint Rule for double integrals (see Section 15 1) with six squares to estimate the area of the surface z 1 (1 x 2 y 2 ), 0 x 6, 0 y 4 (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 (see Section 15.1) with six squares to estimate the area of the surface z = 1/(1 +

(a) Use the Midpoint Rule for double integrals (see Section 15.1) with six squares to estimate the area of the surface z = 1/(1 + x² + y²), 0 < x < 6, 0 < y < 4.

(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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