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Question

A stone is dropped into a quiet lake, and waves move in circles at a speed of 5 cm/s. When the radius of the circular wave is 8 cm, how fast is the enclosed area increasing?

$8\pi \text{ cm}^2/\text{s}$

$80\pi \text{ cm}^2/\text{s}$

$6\pi \text{ cm}^2/\text{s}$

$\frac{8}{3}\pi \text{ cm}^2/\text{s}$

Solution

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