Show and explain all work. Each part is worth 10 points. The assignment is worth 40 points. Part 1: Application A particle travels along the x-axis according to the following equation: x(t) = 3t2 - 3t + 3 a. What is the particle's displacement from t = 0 to t = 3? b. What is the average velocity of the particle over the first 3 seconds? c. What is the instantaneous velocity at time t = 3? d. What is the equation of the tangent line at t = 3