Consider the thin plate, of constant density p , which lies above the x-axis and between the two ellipses $\displaystyle x^2+y^2/4=1 , x^2/4+y^2/16=1$ Find its center of mass(HINT: In order to reduce the amount of integration required, use symmetry and the formula which states that the area A of the region enclosed by the ellipse $\displaystyle A = piab$ )