Question: 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

Show and explain all work. Each part is worth 10 points.

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

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