anonymous
  • anonymous
the radius of a circular puddle is growing at a rate of 20 cm/s. How fast is the area growing at the instant when it equals 25 cm^2? (use the area formula to determine the radius at that instant)
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
So, we have that \[A = \pi r^2\] so the time derivative of the area is, via the chain rule, \[\frac{dA}{dt} = 2\pi r \cdot \frac{dr}{dt} \]

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