Let R be the region bounded by y x, x 1, and y 0. Use the shell method to find the volume of the solid generated when R is revolved about the line y= -8 Set up the integral that gives the volume of the solid using the shell method. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers O A. dx O B. dy The yolume is (Type an exact answer.)

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Let R be the region bounded by y x, x 1, and y 0. Use the shell method to find the volume of the solid
generated when R is revolved about the line y= -8
Set up the integral that gives the volume of the solid using the shell method. Use increasing limits of
integration. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type exact answers
O A.
dx
O B.
dy
The yolume is
(Type an exact answer.)
Transcribed Image Text:Let R be the region bounded by y x, x 1, and y 0. Use the shell method to find the volume of the solid generated when R is revolved about the line y= -8 Set up the integral that gives the volume of the solid using the shell method. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers O A. dx O B. dy The yolume is (Type an exact answer.)
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