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. Consider the difference equation A(n + l) = 2A(n) 0.25A2(n) 0.75. (a) Find the equilibrium values for the system. (b) Determine the stability of the equilibrium values using cobwebs. (c) Determine the stability of the equilibrium values using linearization. . Consider the difference equation AP = 0.2P(1 P/20). (a) Find the equilibrium values for the system. (b) Determine the stability of the equilibrium values using cobwebs. (c) Determine the stability of the equilibrium values using linearization. . Consider the Ricker equation: Nn+1 = (INneN". In this equation, 0 represents the maximal growth rate of the organism and B is the inhibition of growth caused by overpopulation. (a) Show that this equation has a steady state _ Ina: N: (b) Show that the steady state in the rst part is stable provided that |1lna|