A lamina occupies the part of the disk $x^2 + y^2 \leq 4$ in the first quadrant and the density at each point is given by the function $\rho(x,y) = 3(x^2+y^2)$.

A. What is the total mass?

B. What is the moment about the x-axis?

C. What is the moment about the y-axis?

D. Where is the center of mass? (, )

E. What is the moment of inertia about the origin?