Directions: Please complete on a separate sheet of paper the following questions by showing each formula you used, and all of your work. 1. For the function x3 x + 2: V a. What is the average rate of change over the interval [1,4]? (2 points) b. What is the instantaneous rate of change at x = 2? (6 points) c. What is the equation of the tangent line at x = 2? (3 points) 2. A particle travels along the x axis according to the following equation: x(t) = 3:2 15: + 12 a. What is the particle's displacement from t=0 to t=4? (3 points) b. What is the average velocity of the particle over the first 4 seconds? points) c. What distance does the particle travel from t = 0 to t =4? (3 points)