5. Particle X moves along the positive xaxis so that its position at time t 2 0 is given by x(t) = 51:3 9:2 + 7. (a) Is particle X moving toward the left or toward the right at time t = l ? Give a reason for your answer. (b) At what time I 2 0 is particle X farthest to the left? Justify your answer. (c) A second particle, Y, moves along the positive yaxis so that its position at time t is given by y(t) = 7: + 3. At any time I, I 2 0, the origin and the positions of the particles X and Y are the vertices of a triangle in the first quadrant. Find the rate of change of the area of the triangle at time t = 1. Show the work that leads to your