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12 Nov 2019
(1 pt Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in the body decreases at a rate proportional to the amount left in the body, with constant of proportionality k. Suppose that the half-life of hydrocodone bitartrate in the body is 3.8 hours, and that the oral dose taken is 8 mg (a) Write a differential equation for the quantity, Q, of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed. kQ (Write your answer in terms of Q and t, e.g., Q 3t(1-RO)) (b) Solve your differential equation, assuming that at t 0 the patient has just absorbed the full 8 mg dose of the drug 8eA (-kt) (c) Use the half-life to find the constant of proportionality, k k 0.182 (d) How much of the 8 mg dose is still in the body after 12 hours? Amount (include units
(1 pt Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in the body decreases at a rate proportional to the amount left in the body, with constant of proportionality k. Suppose that the half-life of hydrocodone bitartrate in the body is 3.8 hours, and that the oral dose taken is 8 mg (a) Write a differential equation for the quantity, Q, of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed. kQ (Write your answer in terms of Q and t, e.g., Q 3t(1-RO)) (b) Solve your differential equation, assuming that at t 0 the patient has just absorbed the full 8 mg dose of the drug 8eA (-kt) (c) Use the half-life to find the constant of proportionality, k k 0.182 (d) How much of the 8 mg dose is still in the body after 12 hours? Amount (include units
Reid WolffLv2
21 May 2019