(a) Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R = {(x, y) 16 ≤ x ≤ 12, 8 ≤ys ≤ 12} Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. 1452 (b) Use the Midpoint Rule to estimate the volume of the solid in part (a). V = V = = 1452 ×

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
Question
(a) Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle.
R = {(x, y) 16 ≤ x ≤ 12, 8 ≤ys
≤ 12}
Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square.
1452
(b) Use the Midpoint Rule to estimate the volume of the solid in part (a).
V =
V =
=
1452
×
Transcribed Image Text:(a) Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R = {(x, y) 16 ≤ x ≤ 12, 8 ≤ys ≤ 12} Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. 1452 (b) Use the Midpoint Rule to estimate the volume of the solid in part (a). V = V = = 1452 ×
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