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The volume of the solid obtained by rotating the region bounded by x = 9y², y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral V = with limits of integration a = with limits of integration a = a The volume of this solid can also be computed using cylindrical shells via an integral - 1² = V and b = and B = dy dx >

The volume of the solid obtained by rotating the region bounded by x = 9y², y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral V = with limits of integration a = with limits of integration a = a The volume of this solid can also be computed using cylindrical shells via an integral - 1² = V and b = and B = dy dx >

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The volume of the solid obtained by rotating the region bounded by x = 9y², y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral b V = with limits of integration a The volume of this solid can also be computed using cylindrical shells via an integral B 7 = √² with limits of integration a V= and b = In either case, the volume is V = and B = cubic units. dy dx <
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by x = 9y², y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral b V = with limits of integration a The volume of this solid can also be computed using cylindrical shells via an integral B 7 = √² with limits of integration a V= and b = In either case, the volume is V = and B = cubic units. dy dx <
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