1. (a) Estimate the volume of the solid that lies below the surface z = xy and above the rectangle R = {(x, y) | 0≤x≤ 6,0 ≤ y ≤ 4} 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 in part (a).

1. (a) Estimate the volume of the solid that lies below the surface z = xy and above the rectangle R = {(x, y) | 0≤x≤ 6,0 ≤ y ≤ 4} 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 in part (a).

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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