Wednesday, April 30, 2008

Question 2: Volumes of Revolution and RC Cars!




When the area between the functions 4x^2 and 2x^3 is spun around the line x = -2, a washer-like solid is formed.

A.) Find the volume of the solid generated.

B.) If the numerical value of the solid's volume is equivalent to the battery life remaining in minutes for a remote controlled car, find the instantaneous velocity in ft/min of the RC car at the end of its battery life span given the following position function:

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