The exponential function A(t) = 200e−0.014t gives the amount ofmedication, in milligrams, in a patient’s bloodstream t minutesafter the medication has been injected into the patient’sbloodstream.

(a) Find the amount of medication, to the nearest milligram, inthe patient’s bloodstream after 55 minutes.

(b) Use a graphing utility to determine how long it will take,to the nearest minute, for the amount of medication in thepatient’s bloodstream to reach 50 milligrams.