Consider the solid that lies above the rectangle (in the xy-plane) R=[−2,2]×[0,2], and below the surface...

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) Estimate the volume by dividing R into 4 rectangles of equal size, each twice as wide as high, and choosing the sample points to result in the largest possible Riemann sum.
Riemann sum =?

(B) Estimate the volume by dividing R into 4 rectangles of equal size, each twice as wide as high, and choosing the sample points to result in the smallest possible Riemann sum.
Riemann sum =?

(C) Using iterated integrals, compute the exact value of the volume.
Volume = ?

Expert Solution

milcah answered 3 years ago

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