Solve the triangle. 77 a = 14.2 65 b Y= 10, b= C= (Round to the nearest tenth as needed.)The parametric equations and parameter intervals for the motion of a particle in the xy-plane are given below. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 4 cos (2t), y = 4 sin (21), Osts The Cartesian equation for the particle isFind a parameterization for the circle (x - 12)" +y =36 starting at the point (6,0) and moving clockwise once around the circle. Find parametric equations for the circle. X= y =Suppose that A, B, and C are the corner points of a thin C(1,1,3) triangular plate of constant density shown here. cm A(3,3,0) M B(4,1,0) a. Find the vector from C to the midpoint M of side AB. i+ ( 1)i + ( - 3) k (Simplify your answer.) b. Find the vector from C to the point that lies two-thirds of the way from C to M on the median CM. WIN it ( - 2 ) K (Simplify your answer.) c. Find the coordinates of the point in which the medians of AABC intersect. This point is the plate's center of mass. (Simplify your answer.)