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Unformatted text preview: Prof. Samina Bashir, University of Ottawa, MAT 1330, Fall 2008 Assignment 1, due October 1, 8:30am in class Student Name Student Number DGD 1 (Monday) DGD 2 (Tuesday) DGD 3 (Wednesday) Problem 1: [4 points] Suppose that every morning a patient receives the same dose of drug. From the dose, the drug concentration in his blood increases by 2. Over the course of 24 hours between doses, 75% of the drug in the blood is removed. (a) Write the linear DTDS for the drug concentration, x t +1 = f ( x t ) and find x 4 when x = 88 . (b) Draw the updating function and start the cobwebbing process at x = 0 . 2 . (c) Find the fixed (equilibrium) point explicitly. (d) Is the fixed point stable? Use the stability criterion from class and compare with your cobwebbing. Problem 2: [4 points] A group of patients is given a certain dose of a drug once. Two measurements of concentration of the drug in the blood are taken 24 hours apart to de termine the rate at which the drug is removed from the blood stream. The measurementstermine the rate at which the drug is removed from the blood stream....
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 Spring '08
 DUMITRISCU
 Steady State, Tide, Drug Concentration, Prof. SAMINA BASHIR

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