Consider a flat plate of uniform density with = 1 which occupies the region under the curve of the function f (x) = 1/(1^2), and the x axis on the interval 0 x1/2.

(a) Determine the mass of the plate. (b) Calculate Mx, the moment of this plate with respect to the x axis. (c) Calculate My, the moment of this plate with respect to the y axis. (d) Determine the coordinates of the center of gravity of this plate (x,y).