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Consider the solid that lies above the rectangle (in the xy-plane) R=[−2,2]×[0,2], and below the surface z=x2−4y+8. (A)...

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Basic Math

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 = ?

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