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 =4 O A. O B. O C. OD. Q 4- Ay Set up the double integral that gives My, the plate's first moment about the y-axis. Use increasing limits of integration. Assume a density of 1. 00 My = J J ( dy dx (Type exact answers.) 0O 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 = ISay ox (Type exact answers.) O C. This integral is not necessary because the given function is symmetric about the line y = x. O D. This integral is not necessary because the given function is symmetric about the y-axis. The coordinates of the centroid are (x.y) =