# quiz 11 - Math 155 Quiz 11 Name 30X“ “‘5 Also put...

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Unformatted text preview: Math 155 Quiz 11 November 13, 2006 Name: 30X“ “‘5 Also put your name on the back. Calculators are allowed on this quiz. Remember to show all work to receive full credit. 1. (5 points) Consider the process of using Newton’s Method to ﬁnd the equilibrium of N144: 5N? + 2Nt. (a) Write Newton’s Method as a discrete—time dynamical system for this example. Use an and cut“. 0: SMli-ZN’N : S/VL‘HV {WP 523:} x 1: .- 75¢ ' PM: (on: (b) Do Newton’s Method by hand for one step: Find 131 if 330 = 3. X°:3 1 S(S)+3 “I8 — -——-:: .51 mus-753\$? —3 l” b 2. (5 points) Use Euler’s Method to solve the following Differential Equation. % = —.2t + 12, V(0) = 10, At = .5 Find V(1) V g \4’ = vc + %, (.s) ' u.— u, + [UK-S) = 2W? ...
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