2. Non-linear difference equations: Yeast growth model with saturation (20 points) Consider the discrete logistic equation you derived in class (yeast problem part 2) where we found K = 0.00082 and N = 665. (a) Given that the initial population size is 9.6 just like in class), write a Matlab script to determine the population size at n- 20 (b) The equation (1) above can be written in a more standard form: rn+1 = (1 + KN)rn-Kra, term I term 2 where 1+KN0 In terms of a growing population of yeast, interpret the two terms in this model. (c) By setting r = 1 + KN, k = KN and x,--m/k, show that equation (2) can be written as: Does this equation remind you of another equation we've studied? (d) If 0