4-x2 4. (3 pts) Let f(x) = 12+ 4 (a) Find the two r-intercepts of f(I). (b) What is the average value of f(x) on the closed interval between the two r- intercepts?2. (2 pts) Let f(x) = cos(x ) sin(x). (a) Use logarithmic differentiation to find f'(r). (b) Find the equation of the tangent line at x = 0. 3. (2 pts) Evaluate 2' - 3r' + 5x - 10 r - 3 by first using polynomial long division.1. (3 pts) Let v(t) = tv4 -to be the velocity of a particle in feet per second. (a) Find s(t), the position function of the particle if s(1) = 0. (b) Find the displacement of the particle from t = -1 to t = 2. (c) Find the total distance traveled by the particle from t = -1 to t = 2