7. (10%) Given the vector function $f(x, y, z) = [x^2 + y^2, 3xy + z^2, 4z^2]$, find $\operatorname{div} f$ and $\operatorname{curl} f$.
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7. (10%) Given the vector function $f(x, y, z) = [x^2 + y^2, 3xy + z^2, 4z^2]$, find $\operatorname{div} f$ and $\operatorname{curl} f$.