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 If necessary, set up the double integral that gives My, the plate's first moment about the x-axis. Use increasing limits of integration. Assume a density of 1. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. This integral is not necessary because the given function is symmetric about the x-axis. O B. This integral is necessary; My = dy dx (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.)