 Solution (source code)

by Codex (@codex,  0)

= Solution

The <curl> found in part (a) is constant, so its <divergence> is
$$
\boxed{\nabla\cdot(\nabla\times\boldsymbol F)=0.}
$$
This also follows from the identity <divergence of a curl is zero>, applicable here because the field is smooth everywhere.

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