Let A(x) = = 1 4 3 2 1 -1 -2 3 A(3) = A(7) = X * f(t)dt where is the function given by the graph below. 2 5 Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are A1 = 7, A2=3, A3=1 and A4=1 V = V = 6. f(x) dx 10 A1 y=f(x) 3 A2 5 A3 7 A4 (figure is NOT to scale) 10 A particle moves along a straight line and its position at time t is given by s(t): 2t 21t + 36t where - s is measured in feet and t in seconds. Find the velocity (in ft/sec) of the particle at time t = 0: The particle stops moving (i.e. is in a rest) twice, first when t = and again when t = What is the position of the particle at time 14? Finally, what is the TOTAL distance the particle travels between time 0 and time 14?