Q3(a) Let W be the region above the sphere x2 + y2 + z2 = 6 and below the paraboloid z = 4 – x2 – y2 as shown in Figure Q5(a) below: Z=4-x-y? x2 + y + z = 6 Figure Q3(a) (i) Find the equation of the projection of Won the xy-plane. (ii) Compute the volume of W using polar coordinates. [16 marks] (b) Using double integral in polar coordinates, compute the following: $$*** (2x+3y) dedy [7 marks] (c) Evaluate the triple integral below: SSJ4x’zdv Where E is bounded by the parabolic cylinder z = 1 – y2, the xy-plane, yz-plane and the plane x = 2. [8 marks]