Consider the solid that lies above the rectangle (in thexy-plane) R=[−2,2]×[0,2],
and below the surface z=x2−4y+8.
(A) Estimate the volume by dividing R into 4 rectangles of equalsize, each twice as wide as high, and choosing the sample points toresult in the largest possible Riemann sum.
Riemann sum =?
(B) Estimate the volume by dividing R into 4 rectangles of equalsize, each twice as wide as high, and choosing the sample points toresult in the smallest possible Riemann sum.
Riemann sum =?
(C) Using iterated integrals, compute the exact value of thevolume.
Volume = ?
