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## 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=∂

^{2}f/∂x

^{2}

_{1}+ ∂

^{2}u/∂x

^{2}

_{2}+ ∂

^{2}u/∂x

^{2}

_{3}

Use the Divergence Theorem to Prove:

See in attachment

## Homework Equations

Divergence Theorem: