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1. Use cylindrical shells to find the volume of the solid generated when the region enclosed...

1. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis.

a.) x = 4y^2 - y^3 and x=0

b.) y= x^2 ,x = 1 and y= 0

2. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis.

c.) y =e^x , y=e^-x and x = 1

d.) y = x^3 , x = 3 , y = 0

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