image attached The position of an object in circular motion is modeled by the parametric equationsx = 9 sin(2t) y = 9 cos(2t)where t is measured in seconds.(a) Describe the path of the object by stating the radius of the circle, the position at time t = 0, the orientation of motion (clockwise or counterclockwise), and the time t it takes to complete one revolution aroundthe circle.The radius is 9INeed Help?the position at time t = 0 is (x, y) =(b) Suppose the speed of the object is doubled. Find new parametric equations that model the motion of the object.(x(t), y(t)) = (0,9(c) Find a rectangular-coordinate equation for the same curve by eliminating the parameter.181(d) Find a polar equation for the same curve. (Use variables r and as needed.)9Read Itand the motion is counterclockwiseIt takesπ2units of time to complete one revolution.

Note: Due to guidelines, I can solve only first 3 sub parts.

The position of an object in circular motion is modeled by the parametric equations x = 9 sin(2t) y = 9 cos(2t) where t is measured in seconds. (a) Describe the path of the object by stating the radius of the circle, the position t time t=0, the orientation of motion (clockwise or counterclockwise), and the time t it takes to complete one revolution around the circle. ✔, the position at time t = 0 is (x, y) = ( The radius is 9 (b) Suppose the speed of the object is doubled. Find new parametric equations that model the motion of the object. (x(t), y(t)) = (0,9 x (c) Find a rectangular-coordinate equation for the same curve by eliminating the parameter. 1 81 X and the motion is counterclockwisex. It takes T 2 X units of time to complete one revolution.