Find the center of mass and the moment of inertia about the y-axis for a thin plate bounded by the x-axis, the lines x = ± 1, and the parabola y = x if 8(x,y) = 7y + 2. The coordinates of the plate's...

Extracted text: Find the center of mass and the moment of inertia about the y-axis for a thin plate bounded by the x-axis, the lines x = ± 1, and the parabola y = x if 8(x,y) = 7y + 2. The coordinates of the plate's center of mass are x = and y = (Simplify your answers. Type integers or simplified fractions.) %D (Simplify your answer. Type an integer or a simplified fraction.)