Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y = 2 x if 6 = 18x + Ty + 9. The plate's center of mass is located at D. (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.) A solid cube in the first octant is bounded by the coordinate planes and by the planes x =1, y = 1, and 2 =1. The density of the cube is 8(x.y,z) = x+ y + 2 +1. Complete parts a through c. a. Find the mass of the solid. (Simplify your answer. Use integers or fractions for any numbers in the expression.) b. Find the center of mass. i: 9: g: (Simplify your answer. Use integers or fractions for any numbers in the expression.) c. Find the moments of inertia about the coordinate axes. u: Iy= I2: (Simplify your answer. Use integers or fractions for any numbers in the expression.)