(Solved): Problem 2. (1 point) Hydrocodone blartrate is used as a cough suppressant. After the drug is full ...

Problem 2. (1 point) Hydrocodone blartrate 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 amourd t Suppose that the half-life of hydrocodone bitartrate in the body is 3.7 hours, and that the oral dose taken is 11 mp (a) Wirte a differential equation for the quantity. Q. of hydrocodone bitartrate in the body at time in hours since the drug was fly absorbed Note: do not explicitly include a negative sign in your DE Q KO (Write your answer using . Q and as appropriate) (b) Solve your differential equation, assuming that at the pabert has just absorbed the full 11 mg dose of the drug Q Cet) (Your solution may include the constant of proporationality , but should not include any other unspected constant (e) Use the half-life to find the constant of proportionality, I k -0.17773 (d) How much of the 11 mg dose is stil in the body after 12 hours? Amount 1.06658 Help for units Note: You can earn partial credit on this problem HAGE body, with constant of proportionat Remaining time: 46:46 (min se Problem 2. (1 point) 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 3.7 hours, and that the oral dose taken is 11 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 Note: do not explicitly include a negative sign in your DE KO Q² (Write your answer using k. Q and as appropriate) (b) Solve your differential equation, assuming that at Q-Ce^(d) O the patient has just absorbed the full 11 mg dose of the drug (Your solution may include the constant of proporationality k. but should not include any other unspecified constant) (c) Use the half-life to find the constant of proportionality, k k -0.17773 (d) How much of the 11 mg dose is still in the body after 12 hours? Amount 1.00658 dataite Problem 2. (1 point) Warfarin is a drug used as an anticoagulant. After administration of the drug is stopped, the quantity remaining in a patient's body decreases at a rate proportional to the quantity remaining. Suppose that the half-life of warfarin in the body is 35 hours. Sketch the quantity, Q, of warfarin in a patient's body as a function of the time, (in hours), since stopping administration of the drug. Mark 35 hours on your graph. Write a differential equation satisfied by Q ¿Q dt (Your equation should not involve any undetermined constants.) How long does it take for the drug level in the body to be reduced to 35 percent of its original level? Report your answer with units ("hr" or "day"). time = Help for units Note You can earn partial credit on this problem.