5. Particle X moves along the positive x-axis so that its position at time f 2 0 is given by x(t) = 53 - 912 + 7. (a) Is particle X moving toward the left or toward the right at time t = 1? Give a reason for your answer.6. Consider the differential equation dy dx 2)(v- 1), where x * 0. Let y = f(x) be the particular solution to the differential equation with initial condition f(1) = 2. (a) Find the slope of the line tangent to the graph of f at the point (1, 2)