1. Suppose that at time t = 0 hours, a patient is given a tablet with a drug for a liver disorder. The concentration Ctablet (t) (measured in nanogram per milliliter, ng/ml) of the drug in the bloodstream at time t (in hours) can be modelled by: -0.3t Ctablet (t) === 6.2te In pharmacology (the study of drugs and medications), the area under the curve Ctablet (t) on an interval is sometimes called 'bioavailability', and is a way to measure how the drug effects the body. (a) (4 marks) Find the bioavailability of the given tablet drug in the first 5 hours (that is, from t = 0 to t = 5). Answer with an exact value and then round your final answer to 1 decimal place. (b) (4 marks) The same drug is now administered to a patient in the form of a gel capsule (rather than a tablet) at t = 0. Suppose that the concentration of the drug in the bloodstream at time t can be modelled by: Cgel(t) = 16.1te -0.2 +3/2 Find the bioavailability of the gel capsule drug, in the first 5 hours. Answer with an exact value and then round your final answer to 1 decimal place. (c) (2 marks) The graphs of Ctablet (t) and Cgel(t) are given below. Suppose a pharmaceutical company wants to sell either the tablet or the gel capsule as "rapid release" and the other one as "slow release". Which one is the slow release, and why? 15 10- sel (1) -5- Grabler(1) 0 10 15 20