Please #1, 5, 9, 13, 17, 21, 23, 39, 55

1-2 For the given parametric equations, find the points (x, y) (b) Eliminate the parameter to find a Cartesian equation of the corresponding to the parameter values t = -2, -1, 0, 1, 2. curve. 1. x = t' + t, y = 3#1 7. x = 2t - 1, y = zt + 1 2. x = In(t2 + 1), y = 1/(t + 4) 8. x = 3t + 2, y = 2t + 3 9. x =1' - 3, y=1+2, -3 4. x = t' + t, y=1'+2, -251=2 13-22 5. x = 2' - t, y =2"'+1, -3510 19. x = Int, y = vt, 1=1 20. x = |t|, y=|1 - |+ll 21. x = sin t, y = cost 22. x = sinh t, y = cosh t 23-24 The position of an object in circular motion is modeled by the given parametric equations, where t is measured in seconds. How long does it take to complete one revolution? Is the motion clockwise or counterclockwise? 23. x = 5 cost, y = -5 sint TT 24. x = 3 sin 4 y = 3 cos 439-40 Find parametric equations for the position of a particle moving along a circle as described. 39. The particle travels clockwise around a circle centered at the origin with radius 5 and completes a revolution in 411' seconds. 40. The particle travels counterclockwise around a circle with center (1, 3) and radius 1 and completes a revolution in three seconds. 55-57 Intersection and Collision Suppose that the position of each of two particles is given by parametric equations. A collision point is a point where the particles are at the same place at the same time. If the particles pass through the same point but at different times. then the paths intersect but the particles don't collide. 55. The position of a red particle at time t is given by .r=t+5 y=r3+4t+6 and the position of a blue particle is given by x=2t+l y=2t+6 Their paths are shown in the graph. (a) Verify that the paths of the particles intersect at the points (I, 6) and (6. l 1). Is either of these points a collision point? If so, at what time do the particles collide? (b) Suppose that the position of a green particle is given by x=21+4 _v=2t+9 Show that this particle moves along the same path as the blue particle. Do the red and green particles collide? If so, at what point and at what time