2. a) Use graphical method to find fixed points and period two points of the Logistic map: Xk+1 = f(x) = r Xk (1 - Xk) and demonstrate their stability/instability for r=1, 1.5 and 3. (See 1.1 from the attached file titled: Logistic Map Period Doubling). You can use Matlab to obtain graphs of the map f(X) and second iteration of the map f(X). b) Determine those values of r for which both fixed points of the logistic map are hyperbolic. c) Determine whether {(5 - 5)/8; (5 + 5)/8} period 2 orbit of the logistic map.