5. {0.3/0.47 Points] DETAILS PREVIOUS ANSWERS SCALCET8 10.1.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x=1+sin(t), y=3+5cos(t), a/ZStSZn The motion of the particle takes place on an ellipse centered at (x, y) = ( 1,3 v ). As t goes from 7:12 to 27:, the particle starts at the point (x, y) = ( 2,3 J ) and moves clockwise three-fourths of the way around the ellipse to (x, y) = ( 1,5 x ). Need Help? f 15. [0I0.47 Points] PREVIOUS ANSWERS SCALCET8 10.2.035. ASK YOUR TEACHER Let P be a point at a distance d from the center of a circle of radius r. The curve traced out by P as the circle rolls along a straight line is called a trochoid. (Think of the motion of a point on a spoke of a bicycle wheel.) The cycloid is the special case of a trochoid with d = r. Using the same parameter 0 as for the cycloid and, assuming the line is the x-axis and 0 = 0 when P is at one of its lowest points, parametric equations of the trochoid are x = r0 dsin(9) y = r dCOS(9). Find the area under one arch of the trochoid found above for the case d