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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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 11E
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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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