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Unformatted text preview: University of Florida MMB EXAM I Due: Jan. 31, 2007 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 but you can only use my help. I reserve the right to subtract points for my help. Problem Possible Points 1 30 2 30 3 20 4 20 Total 100 1 (1) (30 points) The table below shows the metabolism of phenytoin over time following an intravenous 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 . Approximate the derivative in the middle points with central difference, and the derivative at the endpoints with forward and backward difference. Fit a function through the given points (it will not be a line)....
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