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Unformatted text preview: MAT 1330, Fall 2011 Assignment 1 Due September 28 at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Robert Smith? Jason Levy Olga Vassilieva Catalin Rada DGD (circle one): 1 2 3 4 Student Name Student Number By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Question 1. A patients metabolism will break down morphine to 60% of its original amount every day. The patient is given 8 units of morphine to raise to concentration of the medication at the end each day. Let M t denote the concentration of morphine at time t . (a) Write down the associated DTDS and indentify the updating function. (b) If the patient body contains M t = 5 units of morphine at the start of the day, write down the amount of the medication at the end of the day and at the end of the next day....
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