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2. After taking Advil, the medication's active ingredient breaks down in your system with a half life of approximately two hours. A typical pill contains 200 mg of the active ingredient. (a) Fill out the table which gives the amount of active ingredient A(), t hours after ingesting the pill: (b) Write a function A(t) which gives the amount of Advil left in your system, t hours after taking the medication. (c) Calculate the AROC of A() on the interval [2, 4]. Interpret your answer in the context of the problem using units and values