Find the volume of the solid generated when the area bounded by the given curves and lines is rotated about the line indicated. 1. y = x², x = 0, x = 2, y = 0, about the x – axis 2. x = V9 – y2, y = 1, y = 3, x = 0, about the 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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Find the volume of the solid generated when the area bounded by the given curves and lines is rotated about the line indicated.
1. y = x², x = 0, x = 2, y = 0, about the x – axis
%3D
2.х %3D у9 - у?, у %3D1, у%3 3, х %3D 0, аbout the y — ахis
:0, about the y – axis
Transcribed Image Text:Find the volume of the solid generated when the area bounded by the given curves and lines is rotated about the line indicated. 1. y = x², x = 0, x = 2, y = 0, about the x – axis %3D 2.х %3D у9 - у?, у %3D1, у%3 3, х %3D 0, аbout the y — ахis :0, about the y – axis
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