1. (21 points) Let 9(93) : / 110E) dt where the graph of v is shown. 0 (a) Find 9(2). (b) Find g'(1). (c) Find the interval(s) on which 9 is decreasing. (d) Find the minimum value of g. (e) Does g'(3) exist? Why? (f) If 005) is the velocity of a particle at time t, determine the particle's displacement at time t = 5. (g) If v05) is the velocity of a particle at time t, determine the particle's total distance traveled at time t : 5