\fFor the function below, find the value(s) of x in which f' (x) = 0. f( x) = [x 12 -3) ( x 2 - 2 ) The values are (Use a comma to separate answers as needed. Round to three decimal places as needed.)bX - 1 The total cost (in hundreds of dollars) to produce x units of a product is C(x) = 3x + 5 Find the average cost for each of the following production levels. a. 40 units b. x units c. Find the marginal average cost function. The average cost for 40 units is $ per unit. (Round to the nearest hundredth as needed.)The formula for the growth rate of a population in the presence of a quantity x of food is given as the function below. Kx f(x) = (A + x) a. Find the rate of change of the growth rate with respect to the amount of food. b. The quantity A in the formula for f(x) represents the quantity of food for which the growth rate is half of its maximum. Using your answer from part a, find the rate of change of the growth rate when x = A. a. The rate of change of the growth rate isThe average number of vehicles waiting in a line to enter a parking ramp can be modeled by the function x f(x) = 4(1- x) where x is a quantity between 0 and 1 known as the traffic intensity. Find the rate of change of the number of vehicles in line with respect to the traffic intensity for x = 0.2. . . . The rate of change for x = 0.2 is (Simplify your answer. Type an integer or decimal rounded to four decimal places as needed.)