(a) Use the bisection method to solve (9.20). (b) Create a plot similar to that shown in Fig. 5.13. That is, visualize the actual total world population and the graph of the function 2:555 109eat ,...

(a) Use the bisection method to solve (9.20).

(b) Create a plot similar to that shown in Fig. 5.13. That is, visualize the actual total world population and the graph of the function 2:555 109eat , where a is the growth rate computed in (a), in the same figure.

(c) Compare the actual population in the year 2000 with that suggested/predicted by the model 2:555 109eat . How large is the error in the prediction?

(d) Solve (9.20) with Newton’s method.