(a) Use the Midpoint Rule for double integrals (see Section 15 1) with four squares to estimate the surface area of the portion of the paraboloid z x 2 y 2 that lies above the square 0, 1 x 0, 1 (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 four squares to estimate the surface area of the portion of the paraboloid

(a) Use the Midpoint Rule for double integrals (see Section 15.1) with four squares to estimate the surface area of the portion of the paraboloid z = x² + y² that lies above the square [0, 1] x [0, 1].
(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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a The midpoints of the four squares are 1 1 1 1 1 and 2 3 Here fx ... View full answer

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