(Solved): (1 point) A stone dropped into a still pond sends out a circular ripple whose ...

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(1 point) A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of \( 3.4 \mathrm{ft} / \mathrm{s} \). (a) How rapidly is the area enclosed by the ripple increasing when the radius is 2 feet? The area is increasing at \( \mathrm{ft}^{2} / \mathrm{s} \) (b) How rapidly is the area enclosed by the ripple increasing at the end of \( 6.2 \) seconds? The area is increasing at \( \mathrm{ft}^{2} / \mathrm{s} \)