The quantity of a drug in the bloodstream t hours after a tablet is swallowed is given, in mg, by q(t)=65(e⁻ᵗ -e⁻²ᵗ).
(a) How much of the drug is in the bloodstream at time t=0? Enter the exact answer.
(b) When is the maximum quantity of drug in the bloodstream? What is that maximum? Round your answer to two decimal places and the answer for the maximum to the nearest integer.
(c) The maximum occurs when t = hours.
(d) The maximum is mg.
(e) In the long run, what happens to the quantity?