Question 3: Your employer, Initech, has had their building mysteriously burn down. Since you are out of work, you decide to pursue your dream of raising rabbits. The bank requires a business plan to lend you the money. They would like you to accurately project how many rabbits you will have n years from now. Your initial loan can buy 19 rabbits (i.e. f(0) = 19). Each year each rabbit produces 9 more rabbits. Each year 9 of your rabbits are eaten by foxes at the end of the year after they have produced their rabbits. For example, at the end of the first year, you have 19 (initial rabbits) + 19x9 (new rabbits) - 9 (rabbits eaten by foxes) = 181. (a) Develop a recursive expression for the growth of your rabbit population. (b) Prove to the bank that you can determine the rabbit population of a given year n 2 0 using the closed form f(n) = 18 . 10" + 1, Vn 2 0. In other words, prove that f (n) = 18 . 10" + 1, Vn 2 0 is the closed form of the recursive expression for the growth