Question: Consider the solid that lies above the square (in the xy-plane) R=[0,2][0,2], and below the elliptic paraboloid z=25x^24y^2. (A) Estimate the volume by dividing R

Consider the solid that lies above the square (in the xy-plane) R=[0,2][0,2], and below the elliptic paraboloid z=25x^24y^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.

(B) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners.

(C) What is the average of the two answers from (A) and (B)?

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