a vector field in a spherical coordinate is given by

1. Avector eld in a spherical coordinate is given by I? = rzcosf\" + rzcosqb rZCOSBSin$ (a) (15 Points) Calculate the surface integral H13) - air? for a given surface S in the figure below. It represents one octant of the solid sphere of radius R. The surface 5 include the three flat surfaces as well. (b) (10 Points) Verify the divergence theorem by evaluating the volume integral in the region surrounded by S