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>0. Required:
a. Set up a differential equation for the quantity, Q, in milligrams, of the drug in the body at time t hours. Your answer will contain the unknown constants r and k.
b. What effect does doubling r have on Q[infinity]?
c. What effect does doubling r have on the time to reach half the limiting value, 1/2Q_[infinity]?
d. What effect does doubling αα have on Q[infinity]