9) Set up the triple integrals that give the volume of D. a) D is the right circular cylinder whose base is the circle x² + y² - 3x = 0 in the xy - plane and whose top lies in the plane z = 5-y. b) D is cut from the solid sphere p≤1 by the cone z = √x² + y².

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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9) Set up the triple integrals that give the volume of D.
a) D is the right circular cylinder whose base is the circle x² + y² - 3x = 0 in the xy -
plane and whose top lies in the plane z = 5-y.
b) D is cut from the solid sphere p≤1 by the cone z =
√x² + y².
Transcribed Image Text:9) Set up the triple integrals that give the volume of D. a) D is the right circular cylinder whose base is the circle x² + y² - 3x = 0 in the xy - plane and whose top lies in the plane z = 5-y. b) D is cut from the solid sphere p≤1 by the cone z = √x² + y².
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