1. For 0 5 ts 8. a particle moves along the x-axis so that its velocity v at time t. for given by v(t) = e021 1. The particle is at position x = 4 at time 1': 0. Part A: Write. but do not evaluate. an integral expression that gives the total distance traveled by the particle from time t= 0 to time t= 5. Part B: Find the position of the particle at time t = 6. Part C: Find the average speed of the particle over the interval 0 s t s 2. 1 2. The function fand g are given by f(x) = x2 and g(x) - -x l 5. Let R be the region bounded by the xaxis and the graphs of fand g, as shown in the figure