Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R =   (x, y) | 4 ≤ x ≤ 10, 0 ≤ y ≤ 4   (a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (b) Use the Midpoint Rule to estimate the volume of the solid.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle.

R = 
 
(x, y) | 4 ≤ x ≤ 10, 0 ≤ y ≤ 4
 
(a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square.


(b) Use the Midpoint Rule to estimate the volume of the solid.
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