Antibiotic dosing The amount of an antibiotic (in mg) in the blood t hours after an intrav...

Antibiotic dosing The amount of an antibiotic (in mg) in the blood t hours after an intravenous line is opened is given by

a. Use the Intermediate Value Theorem to show the amount of drug is 30 mg at some time in the interval [0, 5] and again at some time in the interval [5, 15].

b. Estimate the times at which m = 30 mg.

c. Is the amount of drug in the blood ever 50 mg?