SOLUTION: 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), fo

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).
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
:
r(t) = 3t
;
Find a function, A(r), for the area of the ripple in terms of r.
A(r) =
:
Find (A of r)(t).
A(rt) =
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