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11. (3+3+1+1=8 points) Punishers have invaded my library! They recruit more of the undead at the rate: dz dt = f(z) = (z - 1)(z+

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11. (3+3+1+1=8 points) Punishers have invaded my library! They recruit more of the undead at the rate: dz dt = f(z) = (z - 1)(z+ 1) [In(900) - In(z)], where t is time and z is the number of punishers. a Determine all biologically meaningful steady states (equilibrium points). b) Determine the stability of each steady state in Part a), using the derivative test. c) Draw a phase-line diagram. d) If 895 punishers are in the library initially, how many will there be eventually

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