Question: Consider the recursive relation Xt+1 = CX (X1 - 1)2 where c is a positive real number. (a) Find all non-zero equilibrium points (the smaller

 Consider the recursive relation Xt+1 = CX (X1 - 1)2 wherec is a positive real number. (a) Find all non-zero equilibrium points
(the smaller x-value on the left). Answer: x = and x =Considerthe recursive relation Xt+1 = x,In(cx,) where c is a positive real

Consider the recursive relation Xt+1 = CX (X1 - 1)2 where c is a positive real number. (a) Find all non-zero equilibrium points (the smaller x-value on the left). Answer: x = and x =Consider the recursive relation Xt+1 = x,In(cx,) where c is a positive real number and all xt > 0. Find the only non-zero equilibrium point x. Answer: x = e/c Your last answer was interpreted as follows: - 10 The variables found in your answer were: [c] (Use exp(1) or e to show the Euler's number) Let f = x In(cx). Then for any c > 0, f'(x) = So, the equilibrium x is unstable

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