The following integral represents the volume of a solid S. Describe the solid. zy1/4 dy

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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The following integral represents the volume of a solid S. Describe the solid.
zyL/4 dy
O If R is the region above v=x8 and below the line y=7 with x> 0, then S is the solid obtained by rotating R about the y-axis.
O If R is the region below v=x8 and above the x-axis with 0s xS 7, then S is the solid obtained by rotating R about the x-axis.
None of these are correct.
O If R is the region below v=x4 and above the x-axis with 0< xs 1, then S is the solid obtained by rotating R about the x-axis.
O If R is the region above y=x and below the line y=7 with x> 0, then S is the solid obtained by rotating R about the y-axis.
Transcribed Image Text:The following integral represents the volume of a solid S. Describe the solid. zyL/4 dy O If R is the region above v=x8 and below the line y=7 with x> 0, then S is the solid obtained by rotating R about the y-axis. O If R is the region below v=x8 and above the x-axis with 0s xS 7, then S is the solid obtained by rotating R about the x-axis. None of these are correct. O If R is the region below v=x4 and above the x-axis with 0< xs 1, then S is the solid obtained by rotating R about the x-axis. O If R is the region above y=x and below the line y=7 with x> 0, then S is the solid obtained by rotating R about the y-axis.
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