A population of rabbits in a fixed area is growing at a rate of 13% per year. a) The evolution of the rabbit population is described by a discrete time dynamical system (DTDS) of the form P+1 = f(pr), where pt is the average number of rabbits per square kilometer after 7 years. Find the updating function f (expressed as a function of a variable.x). Answer: f(x)= b) Find the general solution of the DTDS requested in (a). Use p to denote po in your answer because Maple TA doesn't accept subscripts. Answer: Pt c) If the initial population is 99 rabbits per square kilometer on average, how many years will it take for the population to exceed an average of 949 rabbits per square kilometer? Round up to the nearest integer value. Answer: years