Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. = {(x, y) 10 ≤ x ≤ 6,2 ≤ y ≤6} (a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. x (b) Use the Midpoint Rule to estimate the volume of the solid.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 11E
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Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle.
= {(x, y) 10 ≤ x ≤ 6, 2 ≤ y ≤6}
(a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square.
x
(b) Use the Midpoint Rule to estimate the volume of the solid.
Transcribed Image Text:Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. = {(x, y) 10 ≤ x ≤ 6, 2 ≤ y ≤6} (a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. x (b) Use the Midpoint Rule to estimate the volume of the solid.
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