document.write( "Question 436149: A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 3. feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r. Find (A of r)(t). \n" ); document.write( "

Algebra.Com's Answer #301867 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A stone is thrown into a pond. A circular ripple is spreading over the pond in
\n" ); document.write( " such a way that the radius is increasing at the rate of 3. feet per second.
\n" ); document.write( " Find a function, r(t), for the radius in terms of t.
\n" ); document.write( ":
\n" ); document.write( "r(t) = 3t
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\n" ); document.write( "Find a function, A(r), for the area of the ripple in terms of r.
\n" ); document.write( "A(r) = $\"pi%2Ar%5E2\"$
\n" ); document.write( ":
\n" ); document.write( "Find (A of r)(t).
\n" ); document.write( "A(rt) = $\"pi%2A%283r%29%5E2\"$ \n" ); document.write( "

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