Problem

Disappearing Mothball The rate at which the volume of a mothball evaporates from solid to...

Disappearing Mothball The rate at which the volume of a mothball evaporates from solid to gas is proportional to the surface area of the ball. Suppose a mothball has been observed at one time to have a radius of 0.5 in. and, six months later, a radius of 0.25 in.

(a) Express the radius of the mothball as a function of time.

(b) When will the mothball disappear completely?

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