Find the centroid (center of mass) of the following thin plate, assuming constant density. Use symmetry when possible to simplify the calculations. The region in the first quadrant bounded by x2 + y2 =225 I his integral is necessary; Mx = ] | | | ay ax (Type exact answers.) O C. This integral is not necessary because the given function is symmetric about the y-axis. O D. This integral is .not necessary because the given function is symmetric about the line y = x. The coordinates of the centroid are (x,y) = (Type an ordered pair. Type an exact answer, using it as needed.) Plot the centroid on the sketch of the region. Choose the correct answer below. OA. O B. O C. OD. Ay 18- 18- 18- 18- X X CO