Find the mass and centroid (center of mass) of the following thin plate, assuming constant density. Sketch the region corresponding to the plate and indicate the location of the center of mass. Use symmetry when possible to simplify your work. The region bounded by y = lnx, the x-axis, and x = e Identify the centroid (center of mass). (Type an ordered pair. Type an exact answer.) Sketch the region, identifying the centroid with a red dot. Choose the correct graph below. A. B. C. D.