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Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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5. Consider the region (shown below) bound by y = x³, y = 2-2, and the z-axis.
IX
a) Setup an integral that gives the volume generated by rotating this region about the z-axis.
b) Setup an integral that gives the volume generated by rotating this region about the y-axis.
c) Setup an integral that gives the volume generated by rotating this region about the line y = 3.
d) Setup an integral that gives the volume generated by rotating this region about the line x = -2.
Hint: Note that will need to use two integrals if you use a dz bor. Don't be afraid of the dy boz!
Transcribed Image Text:5. Consider the region (shown below) bound by y = x³, y = 2-2, and the z-axis. IX a) Setup an integral that gives the volume generated by rotating this region about the z-axis. b) Setup an integral that gives the volume generated by rotating this region about the y-axis. c) Setup an integral that gives the volume generated by rotating this region about the line y = 3. d) Setup an integral that gives the volume generated by rotating this region about the line x = -2. Hint: Note that will need to use two integrals if you use a dz bor. Don't be afraid of the dy boz!
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Part D is missing. Can you please solve it 

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