PreCalculus Unit 10 Lesson 5 20 points Applications of Limits Directions: Please complete on a separate sheet of paper the following 0 questions by showing each formula you used, and all of your work. 1. For the function r3 - x + 2; s. What is the average rate of change over the Interval [1,4]? [2 points] b. What is the Instantaneous rate of change at 1 = 2'? [5 points] c. What is the equation ofthe tangent line at it = 2? [3 points} 2. A particle travels along the 1 axis according to the following equation: my = 3:2 15: + 12 a. What is the particle's displacement from t=lJ to t=4? {3 points] b. What is the average velocity of the particle over the rst 4 seconds? {3 points] c. What distance does the particle travel from t = I] to t =4? {3 points]