Practices on Double Integrals

1. Find the double integrals under the function and the region

1. is bounded by and

2. is bounded by and

3. is the circle of in the first quadrant.

4. is bounded by and

2. Find the volume under and above and plane.

3. Find the volume bounded by the surface plane: and the plane in the first octant. Use Maple to sketch the intersections.

4. Find the volume bounded by the surface in the first octant. Use Maple to sketch the intersections

5. Set up the double integral for the volume of the ellipsoid =1.

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