Aclown is juggling at a circus. The path of a ball is given by the parametric equations X = 2 cos t+ 2 and y: 3 sin t+ 3. In what direction is the ball moving? 0 A. up and to the right 0 B. counterclockwise O C. down and to the right 0 D. clockwise The path of a rocket ship is given by the parametric equations x() = 3t and y() = 4:2 +1, where t is the time in seconds after launch. Where is the ship after 10 seconds? O A. (3,4) O B. (3,5) O C. (30,401) O D. (30,501)Jimmy wants to write the set of parametric equations 2:: %1+3 and y= Ztl in rectangular form by eliminating 1'. Which of the following equations would help him to eliminate t? O A. =2(x3) O B. t=2(x+3) A class is trying to eliminate t from the parametric equations x= 2+3 and y = 4t. Beth says that she can write { = vx-3 to eliminate the parameter. Why is this wrong? O A. She should have added 3 to x, not subtracted. O B. She should always solve for t as a function of y. O C. She should have taken both the positive and negative square root. O D. She should first substitute y for t before solving.A biologist determines that the path of a bee from its hive to its foraging site can be described by the parametric equations x= 411 and y: 2:2 +3z4 . Which of the following equations is the curve described by these parametric equations? 0 A. y=20x9 O B. y=20x+16 O C. x2+sx25 \"T O D. x2+4x37 FT What conic section is drawn by the parametric equations x = csc t and y = cot t? O A. parabola O B. circle O C. ellipse O D. hyperbolaJanet is drawing the path formed by the parametric equations X = 2 + 3 sin 1' and y =1-cost. Which curve did she draw? OA. \fO C. cn x 2 3 4 5 -5 -4 -3 -2 -1 0 1 -2 -3 -5O D. x -5 -4 -3 -2 -1 0 2 3 4 5 or is do is