The rate at which a drug leaves the bloodstream and passes o the urine is propor

Question

The rate at which a drug leaves the bloodstream and passes o the urine is proportional to the quantity of the drug in the blood at that time. Write a differential equation for the quantity, Q, of the drug in the blood after t hours. Use k as the proportionality constant with k > 0. dQ/dt = Suppose when an initial dose of Q0 is injected directly o the blood, 25% is left in the blood after 4 hours. How much of the drug is in the patient's body after 8 hours if the patient is given 200 mg initially? Round your answer to two decimal places. mg

Explanation / Answer

a)-kQ

b)25 mg

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