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Find the volume of the solid generated by revolving about the line y = -3 the region bounded by the two parabolas y = x? and y = 1+x- x².

Find the volume of the solid generated by revolving about the line y = -3 the region bounded by the two parabolas y = x? and y = 1+x- x².

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Find the volume of the solid generated by revolving about the line y = -3 the region bounded by the two parabolas y = x? and y = 1+ x - x². Find the volume of the solid generated by revolving about the line x = -4 the region bounded by that line and the parabola x = 4 + 6y -2y?. Find the volume of the solid generated by revolving about line y = 1 the region bounded by that line and the parabola x² = 4y. Take the rectangular elements of area parallel to the axis of revolution.
Transcribed Image Text:Find the volume of the solid generated by revolving about the line y = -3 the region bounded by the two parabolas y = x? and y = 1+ x - x². Find the volume of the solid generated by revolving about the line x = -4 the region bounded by that line and the parabola x = 4 + 6y -2y?. Find the volume of the solid generated by revolving about line y = 1 the region bounded by that line and the parabola x² = 4y. Take the rectangular elements of area parallel to the axis of revolution.
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