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[See Solution] WATER POILUTION. An oil spill in the ocean is roughly circular in shape, with radius R(t) feet t minutes after the spill begins. The radius

Question: WATER POILUTION. An oil spill in the ocean is roughly circular in shape, with radius \(R(t)\) feet t minutes after the spill begins. The radius is increasing at the rate

\[R'(t)=\frac{21}{0.07t+5}\text{ft}/\text{min}\]
  1. Find an expression for the radius \(R(t)\) assuming that \(R=0\) when \(t=0\).
  2. What is the area \(A=\pi R^{2}\) of the spill after l hour?

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