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1) The region bounded by f(x)=−3x^2+18x+21, x=0, and y=0 is rotated about the y-axis. Find the...

1) The region bounded by f(x)=−3x^2+18x+21, x=0, and y=0 is rotated about the y-axis. Find the volume of the solid of revolution.

Find the exact value; write answer without decimals.

2) Suppose you lift a laptop that weighs 3.2 pounds off the floor onto a shelf that is 4 feet high. How much work have you done?
foot-pounds  

3) The force on a particle is described by 9x^3−1 pounds at a point xx feet along the x-axis. Find the work done in moving the particle from the origin to x=3.
foot-pounds  

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