5 Question 3. (total: 6 points) The drug Xlocyn is eliminated from a patient's bloodstream at a constant rate of 30% per day. They receive a daily dose of 4 ,ug. Let sci denote the amount of Xlocyn in the patient's bloodstream on day t, just after the daily dose is administered. We start counting t Z 0 from the rst dose the patient receives. (a) (1 point) Give a linear discrete-time dynamical system (DTDS) modelling mt\" in terms Of .1}. (b) (1 point) Write down the updating function of the dynamical system. (c) (1 point) Identify the equilibrium value on your graph or conrm this by computing the equilibrium of your DTDS. (d) (1.5 points) Suppose we switch to a new longerlasting variant of the drug, XlocynPlus, which is eliminated at half the rate of Xlocyn. What daily dose of XlocynPlus should we administer in order to maintain the same equilibrium in the long term