2. The average high monthly temperature (in degrees Fahrenheit) in Duluth, Minnesota, is shown in the table. A scatterplot of the data is also given. a. Determine a function of the form f(x) - a sin b(x c) + d, where a, b, c, and d are constants, that models the data. Show the work necessary in determining the values. Do not use regression capabilities of your graphing calculator. b. Determine the average hi_h monthl tem-erature in Duluth 1W III - 1|] 3. The rabbit population on Park Point in Duluth, MN at time t is modeled by r(t) = 225cm; 2 t + 425 where t is measured in years. (Park Point, by the way, is reported as the world's longest freshwater sand spit) a. What is the maximum number of rabbits on Park Point during a population cycle? b. How long is the population cycle? c. Find the approximate number of rabbits on the island after 3.2 years. d. Sketch a graph of the first period of this function, marking key axis values. e. Solve algebraically: in what year(s) during the rst population cycle will the number of rabbits be equal to 500