Exercises

Exercises for Lecture #9

Back

1-4. Set up the limits of integration in the triple integral

for the indicated regions V:

1. V is a tetradon bounded by the planes

2. V is a cylinder bounded by the surfaces

3. * V is a cone bounded by the surfaces

4. V is a volume bounded by the surfaces

5-10. Compute the following integrals:

5. 6.

7. 8.

9. Evaluate where V is the region of integration bounded by the coordinate planes and the plane x+y+z=1.

10. Passing to a spherical coordinates, evaluate the integral

where V is the interior of the sphere .