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A Spherical Raindrop Evaporates at a Rate Proportional to Its dVdt\frac{d V}{d t}

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A spherical raindrop evaporates at a rate proportional to its surface area.If V = volume of the raindrop and S = surface area, which of the following is a differential equation for dVdt\frac{d V}{d t} ?


A) dVdt=kS\frac{d V}{d t}=k S with k a negative constant
B) dVdt=kS\frac{d V}{d t}=\frac{k}{S} with k a negative constant
C) dVdt=kS\frac{d V}{d t}=k S with k a positive constant
D) dVdt=kS\frac{d V}{d t}=\frac{k}{S} with k a positive constant

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