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Consider the solid that lies above the square (in the xy-plane) R = [0, 2] \times [0, 2], and below the elliptic paraboloid z = 81 - x^{2} - y^2.

Consider the solid that lies above the square (in the xy-plane) R = [0, 2] times [0, 2],
and below the elliptic paraboloid z = 81 - x^{2} - y^2.

(A) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners.

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