20. 17 Let f(x) = x² - 1. (1) Find the area of the region R bounded by y = f(x), y=0, x= -1 and x = 1. (2) Find the volume of the solid generated by revolving the region about x-axis. (3) Find the volume of the solid generated by revolving the region about y-axis.

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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20.
17 Let f(x) = x² - 1.
(1) Find the area of the region R bounded by y = f(x), y=0, x= -1 and x = 1.
(2) Find the volume of the solid generated by revolving the region about x-axis.
(3) Find the volume of the solid generated by revolving the region about y-axis.
Transcribed Image Text:20. 17 Let f(x) = x² - 1. (1) Find the area of the region R bounded by y = f(x), y=0, x= -1 and x = 1. (2) Find the volume of the solid generated by revolving the region about x-axis. (3) Find the volume of the solid generated by revolving the region about y-axis.
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