The volume and surface area of a jawbreaker for any radius is given by the formulas respectively.

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The volume and surface area of a “jawbreaker” for any radius is given by the formulas

respectively. Roger Guffey estimates the radius of a jawbreaker while in a person’s mouth to be

where r(t) is in millimeters and t is in minutes.

(a) What is the life expectancy of a jawbreaker?
(b) Find dV/dt and dS/dt when t = 17 and interpret your answer.

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