Suppose that glucose is infused into the bloodstream of a patient at the rate of 3 grams per minute, but that the patient's body converts and removes glucose from its blood at a rate proportional to the amount present (with constant of proportionality 0.02). If Q(t) is the amount present at time t and Q(0) = 120?
(a) Write the differential equation for Q;
(b) Solve this differential equation;
(c) Determine what happens to Q in the long run.