Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. x = -y2 + 9y y 8 6 4 2 X 10 15 20
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. x = -y2 + 9y y 8 6 4 2 X 10 15 20
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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Set up and evaluate the
x = −y2 + 9y
Expert Solution
Step 1
The volume of solid generated by revolving about y axis a region between the curves x=f(y) ad x=g(y)
Is given by v = π cd ∫[(f(y))2 – (g(y))2].dy
Where g(y)<= f(y)
C<=d<=d
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