The amount (in mg) of a drug in a patient’s bloodstream changes according to for hours
MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations
Problem
The amount Q (in mg) of a drug in a patient’s bloodstream changes according to dtdQ=−0.06Q for 0≤t<2 hours. Immediately after t=2 h, an additional 50 mg is injected instantaneously, after which the same differential equation continues to apply. Given Q(0)=200 mg, use a 1-hour time increment to approximate Q(3). Give your answer to the nearest milligram.