The radius (in meters) of an inflatable ball satisfies

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The radius rr (in meters) of an inflatable ball satisfies drdt=3−0.5r\dfrac{dr}{dt}=3-0.5r, where tt is measured in seconds. Determine the radius at which the ball's surface area stops increasing.

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