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Assign.#1 - Prof Samina Bashir University of Ottawa MAT...

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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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Assign.#1 - Prof Samina Bashir University of Ottawa MAT...

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