(1 pt) A drug is administered intravenously at a constant rate of r mg/hour and

Question

(1 pt) A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate proportional to the quantity present, with constant of proportionality k > O. (Set up and) Solve a differential equation for the quantity, Q, in milligrams, of the dmg in the body at time t hours. Assume there is no drug in the body initially. Your answer will contain r and k. Q= Graph Q against t. What is Qinfinity the limiting long-run value of Q? Qinfinity = If r is doubled (to 2r), by what multiplicative factor is Qinfinity increased? Similarly, if r is doubled (to 2r), by what multiplicative factor is the time it takes to reach half the limiting value, Q, changed? If k is doubled (that is, we use 2k instead of k), by what multiplicative factor is Q increased? On the time to reach 1/2Qinfinity?

Explanation / Answer

(1 pt) A drug is administered intravenously at a constant rate of r mg/hour and

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