Estimate the volume of the solid that lies above the square R= [0, 2] x [0, 2] and below the elliptic parabolid z = 13 - 2x² - y². Divide R into four equal squares and choose the sample point to be the upper right (or left) corner of each square Rij. For your own benefit, you should consider sketching the solid and the approximating recatngular boxes. a. Approximate volume using upper left corner of each square= b. Approximate volume using upper right corner of each square= c. Which one is an overestimate? O both are the same O the upper right corner O the upper left corner units'. units³.

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...
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Estimate the volume of the solid that lies above the square R= [0, 2] x [0, 2] and below the elliptic
parabolid z = 132x² - y². Divide R into four equal squares and choose the sample point to be the
upper right(or left) corner of each square Rij. For your own benefit, you should consider sketching the
solid and the approximating recatngular boxes.
a. Approximate volume using upper left corner of each square=
b. Approximate volume using upper right corner of each square
c. Which one is an overestimate?
O both are the same
O the upper right corner
O the upper left corner
units³.
units³.
Transcribed Image Text:Estimate the volume of the solid that lies above the square R= [0, 2] x [0, 2] and below the elliptic parabolid z = 132x² - y². Divide R into four equal squares and choose the sample point to be the upper right(or left) corner of each square Rij. For your own benefit, you should consider sketching the solid and the approximating recatngular boxes. a. Approximate volume using upper left corner of each square= b. Approximate volume using upper right corner of each square c. Which one is an overestimate? O both are the same O the upper right corner O the upper left corner units³. units³.
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