**Work in groups of 3–4, writing your answers on a separate sheet of
paper.**

Let be the region bounded by the triangle whose vertices are: Also let be the polygonal path from to to (the triangle above, missing its bottom side). Compute the following integrals:

Let:

- be surface of the ball of radius centered at the point , oriented outward,
- be the upper-half of , after it is cut by the plane , oriented upward in the positive -direction,
- .

Compute the following integrals: