Step 1:
The divergence of a vector field $\mathbf{F}(x, y, z)$ is given by the formula:
\[\nabla \cdot \mathbf{F} = \frac{\partial F_{x}}{\partial x} + \frac{\partial F_{y}}{\partial y} + \frac{\partial F_{z}}{\partial z}\]
where $F_{x}$, $F_{y}$, and $F_{z}$ are
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