Please refer to image attached, for questions 5 and 6:

5. Determine the stability of equilibrium points to the lac operon equation using the method of linearization: X' = 0.01 + X2 0.4X 1 + X2 Plot the equation and calculate the derivatives ax at each equilibrium point. 6. Use the over-under method to find equilibria and assess their stability if the importation rate is a hump-shaped function of the lactose concentration and the breakdown rate is proportional to concentration, as above. (Assume that the line representing lactose breakdown crosses the importation curve.)