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Unformatted text preview: University of Florida MMB HOMEWORK I Due: Feb 1, 2012 Name: ID #: Instructor: Directions: You have until 5:00 p.m. on the due date to answer the following questions. You must show all your work as neatly and clearly as possible and indicate the final answer clearly. You may use any books and you can work together but each of you must submit a homework. Problem Possible Points 1 5 2 5 All 10 Total 20 1 (1) The table below shows the metabolism of phenytoin over time following an intra- venous injection. Let C ( t ) is the concentration of phenytoin in mg/L, and t is time in minutes after the injection. Minutes mg/liter 7.88 6 7.10 12 6.79 24 5.27 36 4.52 48 3.43 72 1.97 96 1.01 144 0.23 (a) Plot the data for- dC dt against C . Approximate the derivative with forward difference. Fit a function through the given points (it will not be a line). (b) Write a differential equation that will approximate the data. Use general con- stants for the parameters. Explain the meaning of the parameters.stants for the parameters....
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This note was uploaded on 03/20/2012 for the course MAP 4484 taught by Professor Martcheva,m during the Spring '08 term at University of Florida.
- Spring '08