Q4. Let E be the region in the first octant of R3 bounded by the sphere x2 + y? + z² = 4, the cone z = Vx2 + y2 and the coordinate planes. (a) Set up (but do not evaluate) iterated integrals that...

Please solve 4

Extracted text: Q4. Let E be the region in the first octant of R3 bounded by the sphere x2 + y? + z² = 4, the cone z = Vx2 + y2 and the coordinate planes. (a) Set up (but do not evaluate) iterated integrals that compute the volume of' E... (i) ...in Cartesian coordinates, with order of integration dx dy dz. (ii) ...in cylindrical coordinates, with order of integration dz dr d0. (iii) ...in spherical coordinates, with order of integration dp do do. Be sure to provide some justification for your answers. (b) Evaluate one of your integrals from part (a).