Be sure to show all work neatly. You may handwrite or type answers, but all work must be shown. 1. If () = 2 +1, find {[)()] 2. Differentiate = (1 3)2 3(1 + 3)1 3 3. For = 3 427 103 +132 +282, find ". 4. Given revenue and cost functions: () = 50 and () = 2 3 +750, where x is the number of items produced and () and () are in dollars, find the following: a) The average revenue, the average cost, and the average profit when items are produced. b) The rate at which average cost is changing when 8 items are produced. 5. From the data printed in the table, a dog's age when compared to a human's age can be modeled using either a linear formula or a quadratic formula as follows: 1 = 4.13+ 14.63 2 = 0.0332 + 4.647+ 13.347 Where 1and 2 represent a dog's human age for each formula and x represents a dog's actual age. Dog Human Age Age 1 16 2 24 3 28 5 36 7 44 9 52 11 60 13 68 15 76 a. Find 1and 2when = 5. b. Find 1 and 2 when x = 5 and interpret your answers. c. If the first three points are eliminated from the table, find the equation of a line that perfectly fits the reduced set of data. Interpret your findings. d. Of the three formulas, which do you prefer and why?