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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 14 y = x2; about the x-axis V = Sketch the region. y y 2.5 1.5 2.0 1.0 1.0 0.5 -2 2 -2 -1 1. -0.5 -0.5 -1.0F -1.0 y y 1.5 2.5 2.0 1.0 1.0 0,5 -2 -2 -1 1 2 -0.5 -0.5 -1.0 -1.0 Sketch the solid, and a typical disk or washer. y -2 -1 -1

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 14 y = x2; about the x-axis V = Sketch the region. y y 2.5 1.5 2.0 1.0 1.0 0.5 -2 2 -2 -1 1. -0.5 -0.5 -1.0F -1.0 y y 1.5 2.5 2.0 1.0 1.0 0,5 -2 -2 -1 1 2 -0.5 -0.5 -1.0 -1.0 Sketch the solid, and a typical disk or washer. y -2 -1 -1

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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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2x2, y = = 14 - 9 – x2; about the x-axis 9 V = Sketch the region. y y 2.5 1.5 2.0 1.0 1.0 0.5 -2 1 2 -2 -1 1 -0.5 -0.5 -1.0f -1.0F y y 1.5 2.5 2.0 1.0 1.5 1.0 0.5 -2 -1 1 2 -2 -1 1 2 -0.5 -0.5 -1.0H 1.0F Sketch the solid, and a typical disk or washer. y y 2 -2 -1 -2 -1 1 2 -1 2 -2- y y 1.5 2- 1.0 1 0.5 X -1.5 -1.0 0.5 0.5 1.0 1.5 -2 2 -0.5 -1.0 -2 -1.5|
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2x2, y = = 14 - 9 – x2; about the x-axis 9 V = Sketch the region. y y 2.5 1.5 2.0 1.0 1.0 0.5 -2 1 2 -2 -1 1 -0.5 -0.5 -1.0f -1.0F y y 1.5 2.5 2.0 1.0 1.5 1.0 0.5 -2 -1 1 2 -2 -1 1 2 -0.5 -0.5 -1.0H 1.0F Sketch the solid, and a typical disk or washer. y y 2 -2 -1 -2 -1 1 2 -1 2 -2- y y 1.5 2- 1.0 1 0.5 X -1.5 -1.0 0.5 0.5 1.0 1.5 -2 2 -0.5 -1.0 -2 -1.5|
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