Modelling Drug Concentration A drug trial is studying the efficacy of a new drug for thalassemia, a genetic disorder in which a patient is unable to properly synthesize the hemoglobin molecule in the...

Extracted text: Modelling Drug Concentration A drug trial is studying the efficacy of a new drug for thalassemia, a genetic disorder in which a patient is unable to properly synthesize the hemoglobin molecule in the blood. In the trial, the rate at which the drug is metabolized by the body is studied. The data from the trial is then used to construct a model for the drug's metabolism. The concentration of a drug, f(t) in parts per million, in a patient's blood t hours after the drug is administered is given by the function f (t) = -t5 + 3t* – 6t3 – 2t² + 60t The goal of this tutorial is to graph this function and analyze and interpret the graph within the problem context. Show the following steps on the blackboard or paper as your instructor directs: a) State the coordinates of the y-intercept. Explain the meaning of this intercept within the problem context. b) Use the procedure in Unit 2 Chapter 5 (p.211) to solve for all the zeros of f(t). Show clearly all steps of this procedure, identify the fully factored form of f(t) as part of the process. c) Which of the zeros found part b) are t-intercepts? Explain the meaning of the intercepts within the problem context.