(2) A patient starts with a concentration of medicine in his bloodstream equal to 10 milligrams per liter. Each day, the patient uses up 60% of the medication in his bloodstream. However, the doctor gives him enough medication daily to increase the concentration in his bloodstream by 4 milligrams per liter.

(a) Write down the DTDS and initial condition (m₀) describing this scenario. Graph the updating function. (b) Iterate your DTDS to nd the concentration of medication on day 7. Graph your values as a function of time. (c) You are given that m₁₀ = 8.00195. Compute m₉ from this information. (d) Find a solution function for this DTDS.