Question

Evaluate both sides of the divergence theorem for the vector field?

Answer 1

The divergence theorem relates a surface integral of a vector field to a triple integral of the divergence of that vector field. It states that the flux of a vector field across a closed surface is equal to the triple integral of the divergence of that vector field over the enclosed volume.

Step-by-step explanation:

The divergence theorem relates a surface integral of a vector field to a triple integral of the divergence of that vector field. It states that the flux of a vector field across a closed surface is equal to the triple integral of the divergence of that vector field over the enclosed volume. In other words, it relates the behavior of a vector field inside a closed region to its behavior on the boundary of that region.