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Let D be the region in the plane described by all four inequalities x > 0, y < 2, y > x³ and y <1. Let S be the solid of revolution obtained by rotating the region D about the line x=0. Which of the following is the integral(s) which give the volume of S by using

Let D be the region in the plane described by all four inequalities x > 0, y < 2, y > x³ and y <1. Let S be the solid of revolution obtained by rotating the region D about the line x=0. Which of the following is the integral(s) which give the volume of S by using

Elementary Geometry For College Students, 7e
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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Let D be the region in the plane described by all four inequalities x > 0, y < 2, y > x³ and y < 1. Let S be the solid of revolution obtained by rotating the region D about the line x=0. Which of the following is the integral(s) which give the volume of S by using cylindrical shells method? O a. V = o m(JT)*dy + Sỉ ndy O b. V = S, 27(x +1)(} – x³)dx O c. V = S,2 2wx( – x*)dx 1/2 O d. V = 2 2æ(2 – a³)dx + Svp 2m¤( – æ³)dæ O e. V =
Transcribed Image Text:Let D be the region in the plane described by all four inequalities x > 0, y < 2, y > x³ and y < 1. Let S be the solid of revolution obtained by rotating the region D about the line x=0. Which of the following is the integral(s) which give the volume of S by using cylindrical shells method? O a. V = o m(JT)*dy + Sỉ ndy O b. V = S, 27(x +1)(} – x³)dx O c. V = S,2 2wx( – x*)dx 1/2 O d. V = 2 2æ(2 – a³)dx + Svp 2m¤( – æ³)dæ O e. V =
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