The reduction of the amount of medication in the body can be modeled by
the equation , where A is the amount at time t, A0 is the amount at
t = 0, and k is the decay constant ( ). The half-life time of a certain
medication is 3.5 h. A person takes 400 mg of the medication at t=0, 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
(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.