Question

The amount of a drug, Q, in milligrams present in the bloodstream t hours since the drug was taken is Q = f ( t ). If f ( 2 ) = 90 and , f ′ ( 2 ) = − 15 respond in each part.

Part I. Two hours after the drug is taken, the amount of drug present in the bloodstream is

Answer 1

Given that > - 15 Amount of drug, & in milligrams present in the bloodstream t hours since the deeg was taken is Q=flt) dQ df LE व f (2) - 15 and f(2)=90 dQ at t=2, dt ² do = is at integrating we get get s dQ= s do= f is dit -ist to Simce fr2) = Q12)=90, substituling to 2 mQ(+) we get Q(2.) 4.-15(2) + C = 905-30 + - C= 120 → Lt) istt 120 & Amount of drug of drug in the bloodstream at time after & hours the drug was taken is Q(t)= -156 +120 (2) -20 -15 (2) -90 = $123 . The amount of drug after 2 hors is (4) -15142 +120 = 60 milligramo any