Consider the DTDS for a population 1 No+1= for t = 0, 1, 2,3, ... 2+ N3 a) Give the updating function f for this DTDS. FORMATTING: Use x as the name of your variable. Answer: f ( I) = b) Write the equation f( ) = x for the fixed point in the format g(r) = 0, where g(x ) is a polynomial. Answer: g( ) = c) Use the Intermediate Value Theorem to find a closed interval [a, b] that contains a biologically relevant equilibrium point. FORMATTING: There are many correct answers. Write your answer in the format [a, b]. Answer: d) Use Newton's method to find an approximation of an equilibrium point as follows: Choose an initial guess co in the interval given in (c) and then compute four iterations of Newton's method to find :1, 12, 13, "4- In the box below, record only your initial guess and your final answer, in the format [In , I ], where an is your initial guess and IA is your final value. Answer: FORMATTING: Give your values with an accuracy of at least three decimal places. Be sure to carry at least 4 decimal places in your intermediate calculations to avoid an accumulation of round-off errors