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Unformatted text preview: t = 20 (starting from M = 16) (f) Find the equilibrium point (g) Cobweb for three steps, starting from M = 16. Problem 2. (1.6.34) [ 2 points ] Find the equilibria of the following discrete time dynamical system that includes the parameter K: x t +1 = x t x tK . Identify values of the parameter for which there is a single equilibrium, for which the equilibrium is negative, and for which there is more than one equilibrium. Problem 3. (1.8.52) [ 1 point ] Sleepiness has two cycles a circadian rhythm and an ultradian rhythm. The ultradian rhythm has a period of approximately four hours, phase 0, average 0 and the amplitude is 0.4 sleepiness unit. Find the formula and sketch the graph of sleepiness over the course of a day due to the ultradian rhythm. 1...
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This note was uploaded on 12/19/2011 for the course MAT 1330 taught by Professor Dumitriscu during the Fall '08 term at University of Ottawa.
 Fall '08
 DUMITRISCU
 Calculus

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