Position of a piston The distance between the head of a piston and the end of a cylindrical chamber is given by , for t ≥ 0 (measured in seconds). The radius of the cylinder is 4 cm.
a. Find the volume of the chamber, for t ≥ 0.
b. Find the rate of change of the volume V′(t), for t ≥ 0.
c. Graph the derivative of the volume function. On what intervals is the volume increasing? Decreasing?
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