Question

Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle.

R = (x, y) | 2 ≤ x ≤ 8, 4 ≤ y ≤ 8
 
(a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square.
 
(b) Use the Midpoint Rule to estimate the volume of the solid.

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