Let D be the region in the plane described by all four inequalities z 0, y < 2, y > r and y <. Let S bes the solid of revolution obtained by rotating the region D about the line x30. Which of the following is the integral(s) which give the volume of S by using cylindrical shells method? O a. V = /2 2nz( - z*)dz O b. V = 27(x + 1)( – x*)dr Ocv = S, #(\T)*dy + dy O d. V = m((/T)² -)dy O e. V = 2 2m2 (2 - *)dr + Sip 2rx(- a*)dx 1/2 %3D

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 z 2 0, y < 2, y > r' and y< 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 = 2 2rx( - x³)dx
1/2
O b. V = 2n(x + 1)(÷ – x³)dx
OC.V = f T(T)²dy + Sí dy
O d. V = T((D)² - –)dy
y2
O e. V = 2 2r2(2 – r*)dx + Sip 2nx(- - x*)da
1/2
Transcribed Image Text:Let D be the region in the plane described by all four inequalities z 2 0, y < 2, y > r' and y< 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 = 2 2rx( - x³)dx 1/2 O b. V = 2n(x + 1)(÷ – x³)dx OC.V = f T(T)²dy + Sí dy O d. V = T((D)² - –)dy y2 O e. V = 2 2r2(2 – r*)dx + Sip 2nx(- - x*)da 1/2
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