In order to keep the songbirds in the back yard happy, Sara puts out 25 g of seeds at the end of each week. During the week, the birds find and eat 3/4 of the available seeds. a) We set up a DTDS St+1 = f(St) for the amount of seeds in the back yard, where t is measured in weeks and seeds are counted just after a new supply is provided. What is the updating function of the DTDS? Answer: f(S) = 回回 b) Find the fixed point of the DTDS if there is one. Give an exact answer. Answer: c) Find the general solution formula for the DTDS. Use S to denote the initial value So because Maple TA doesn't understand subscripts. Answer: St Graph the updating function and draw the cobwebbing, starting from So = 3 g for at least 4 steps. Compare your graph with the solutions after the due date.