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Unformatted text preview: x = 1500. (Four points are enough.) (f) Draw the cobweb diagram of the dynamical system with x = 1500. (Four iterations are enough.) (g) Determine the stability of the equilibrium point using the cobweb diagram. 2. A disease is spreading through campus. Each day, the number of people infected depends on how many were infected the day before, according to the formula y n +1 = 6 . 2976 y n 1 + 0 . 0112 y n . (a) If one person is initially infected, how many people are infected after the rst day? after the second day? after the third? (b) Find all equilibrium points of the dynamical system. (c) How many people would you guess will be infected eventually? 3. A city is growing at a rate of 1% per year and initially has 1,000,000 individuals. What will be the population in 50 years time? 1...
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- Fall '08