We give ourselves a choice of integrals to compute.

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

For each of the following problems, use either the divergence theorem or Stokes’ theorem to set-up integrals that will compute the desired result.

Compute the flux of across the unit cube in the first octant.
Compute the circulation of along the surface defined by the lower hemisphere of .
Compute the flux of across the cone of radius and height whose base is in the -plane.
Compute the circulation of along the surface enclosed by the tilted circle