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A drug is Injected into a patient\'s blood stream. The concentration of the drug

ID: 3011774 • Letter: A

Question

A drug is Injected into a patient's blood stream. The concentration of the drug in the blood stream t hours after the drug Is Injected is m C(t) 0.12 t/t^2 + t + 1 where C is measured in milligrams per cubic centimeter Compute the sensitivity of C at t = 30. Enter your answer in scientific notation, rounded to three decimal places Use your answer to part a to estimate the chance in concentration over the time period from 30 to 36 minutes after injection. Enter your answer in scientific rotation, rounded to three decimal places. The change is approximately

Explanation / Answer

Given concentration of drug in the blood stream = C(t) =0.12t/(t2+t+1)

Concentration of drug in the blood stream at t=30 = C(30) = 0.12*30/(302+30+1) = 3.6/931=3.866 X 10n where n=-3

Concentration of drug in the blood stream at t=36 = C(36) = 0.12*36/(362+36+1) = 4.32/1333=3.241 X 10n where n=-3

Change is approximately = 6.2599 X10n where n=-4

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