Exam 12: Extension F: Multiple Integrals

Use cylindrical or spherical coordinates,whichever seems more appropriate,to evaluate where E lies above the paraboloid and below the plane

Use cylindrical coordinates to evaluate

Find the center of mass of a homogeneous solid bounded by the paraboloid and

Use cylindrical coordinates to evaluate where T is the solid bounded by the cylinder and the planes and

Use cylindrical coordinates to evaluate the triple integral where E is the solid that lies between the cylinders and above the xy-plane and below the plane