Hi! Please answer the questions seen below, and please write legibly if possible!!! Also, be sure to explain how you got to your solutions. Thank you so much and if you have any questions, don't hesitate to ask! :)

1. It is known that a given population triples each hour, due to the net effect of fecundity and deaths. Show the equations that model the population, in each of the two formalisms: (a) provide a formula for P+ in terms of P; (b) provide a formula for AP in terms of P; 2. Consider the model AP = 0.8P(1 P/lO). (a) Plot AP as a function of P manually. (b) Construct a table of values of P, for r = O, 1, 2, 3, 4, 5 starting from P0 = 1. (c) Construct a cobweb beginning at P0 = 1 and compare the values from cobweb to those you obtained in the table. (d) Plot P(t) as a function of 1. (Construct an iteration map) 3. Consider the difference equation: xn+l : rxn(1 _ x11), x0 = 0'1 (a) Plot the rst 30 terms of the solution to the difference equation with r = 0.9, 1.5, 3, 4. (b) Draw the cobweb maps for each case above