7. Find the volume generated by revolving about the y-axis of the area bounded by the curve x = y(y + 2)² and x = 0.

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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7. Find the volume generated by revolving about the y-axis of the area
bounded by the curve x = y(y + 2)² and x = 0.
8. Determine the volume of the solid obtained by rotating the portion of the
region bounded by y = 12 - x², y = x and x = 0 that lies in the first
quadrant about the y-axis.
Transcribed Image Text:7. Find the volume generated by revolving about the y-axis of the area bounded by the curve x = y(y + 2)² and x = 0. 8. Determine the volume of the solid obtained by rotating the portion of the region bounded by y = 12 - x², y = x and x = 0 that lies in the first quadrant about the y-axis.
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