1. [10] Consider the Beverton-Holt population model run 1 + axn where the paramters r and a are positive constants. (a) Show that n = 0 is an equilibrium, and determine its local stability. (b) Show that, if r > 1, there exists a unique positive equilibrium x* > 0; determinbe its local stability. (c) Use the variable change yn = 1/Xn to show that if r > 1, then an > x* for all xo > 0