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\noindent {\bf Problem statement} Two circles have the same
center. The inner circle has radius $r$ which is increasing at the
rate of 3 inches per second. The outer circle has radius $R$ which is
increasing at the rate of 2 inches per second. Suppose that $A$ is the
area of the region {\it between}\/ the circles. At a certain time, $r$
is 7 inches and $R$ is 10 inches. What is $A$ at that time? How fast
is $A$ changing at that time? Is $A$ increasing or decreasing at that
time?

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