2. A particle moves along the x-axis so that its velocity at time t, 0 ≤t≤ 5, is given by v(t)=3(t - 1)(t - 3). At time t = 2, the position of the particle is x(2) = 0. a) Find the minimum acceleration of the particle. b) Find the total distance traveled by the particle. c) Find the average velocity of the particle over the interval 0 < t <5. 3. The function f is defined by f(x)=√√25- x2 for -5≤ x ≤ 5. a) Find f'(x). b) Write an equation for the line tangent to the graph of ƒ at x = -3. (f(x) for 5≤x≤-3 - c) Let g be the function defined by g(x) = (x+7 for-3<x≤5 Is g continuous at x = -3? Use the definition of continuity to explain your answer. d) Find the value of x√25 - x² dx