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# Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y = 3x2, y =...

1a.Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis.
y = 3x2, y = 18x − 6x2
b.Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.
xy = 4, x = 0, y = 4, y = 6
c.Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4.
y = 2x4, y = 0, x = 1
d.Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8.
27y = x3, y = 0, x = 6

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