In a remote region in the Northwest Territories of Canada the dynamics of fly populations have been studied. The population satisfies the finite difference equation To =ll - 0.01r; where It is the population density (r, must be positive). (a) Determine the fixed-point population densities and deter- mine the stability of every fixed point algebraically (use derivatives). (b) Assume that the initial density is less than V1100. What happens as t approaches infinity