Consider the following. y = ³√(x − 2)²(x − 6² y = 0 x = 2 x = 6 Use a graphing utility to graph the plane region bounded by the graphs of the equations. Use the integration capabilities of the graphing utility to approximate the volume of the solid generated by revolving the region about the y-axis. (Round your answer to three decimal places.) X

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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Consider the following.
3
y = ³²/(x - 2)²(x − 6)²
y = 0
x = 2
X = 6
Use a graphing utility to graph the plane region bounded by the graphs of the equations. Use the integration capabilities of
the graphing utility to approximate the volume of the solid generated by revolving the region about the y-axis. (Round your
answer to three decimal places.)
X
Transcribed Image Text:Consider the following. 3 y = ³²/(x - 2)²(x − 6)² y = 0 x = 2 X = 6 Use a graphing utility to graph the plane region bounded by the graphs of the equations. Use the integration capabilities of the graphing utility to approximate the volume of the solid generated by revolving the region about the y-axis. (Round your answer to three decimal places.) X
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