Solve the problem.The delivery of a drug (such as an antibiotic) through an intravenous line may be modeled by the differential equation  where m(t) is the mass of the drug in the blood at time  k is a constant that describes the rate at which the drug is absorbed, and I is the infusion rate. Let  and  For what initial values 

src="https://sciemce.com/media/4/ppg__wesa0610191635__f1q75g5.jpg" alt="" style="vertical-align: -4.0px;" /> are solutions increasing? decreasing? What is the equilibrium solution?

A. increasing for A > 125 and decreasing for A < 125; m(t) = 125
B. increasing for A < 125 and decreasing for A > 125; m(t) = 125
C. increasing for A < 125 and decreasing for A > 125; m(t) = 0
D. increasing for A > 125 and decreasing for A < 125; m(t) = 0


Answer: B

Mathematics

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