Chapter 4, Problem 8P

The reduction of the amount of medication in the body can be modeled by the equation A = A₀e^kt, where A is the amount at time t, A₀is the amount at t = 0, and k is the decay constant (k <0 ). The half-life time of a certain medication is 3.5 h. A person takes 400 mg of the medication at 10, and then additional 400 mg every 4 h. Determine the amount of the medication in a patient’s body 23 h after taking the first dose.|

After determining the value of k. define a vector t= [23, 19, 15, 11, 7, 3] (the time since taking each dose) and calculate the corresponding values of A. Then use MATLAB’s built-in function sum to determine the total amount.