1) Evaluate the double integral ∬Dx^2 y dA, where D is the tophalf of the disc with center the origin and radius 2 by changing topolar coordinates.
2) Use a double integral to find the area of one loop of therose r= 6cos (3θ).
3) Use polar coordinates to find the volume of the solid belowthe paraboloid z=50−2x^2−2y^2 and above the xy-plane.
