# Use the Divergence Theorem to Prove

## Homework Statement

Let f and g be sufficiently smooth real-valued (scalar-valued) functions and let u be a sufficiently smooth vector-valued function on a region V of (x1; x2; x3)-space with a sufficiently smooth boundary ∂V . The Laplacian Δf of f:

Δf:=∇*∇f=∂2f/∂x21 + ∂2u/∂x22 + ∂2u/∂x23

Use the Divergence Theorem to Prove:

See in attachment

## Homework Equations

Divergence Theorem: