7. (10%) Let the vector field of \( \mathbf{F} = 4xy\mathbf{i} + (2x^2 + 2yz)\mathbf{j} + (3z^2 + y^2)\mathbf{k} \), find (1) the curl and (2) the divergence.
阿摩線上測驗
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阿摩線上測驗
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7. (10%) Let the vector field of \( \mathbf{F} = 4xy\mathbf{i} + (2x^2 + 2yz)\mathbf{j} + (3z^2 + y^2)\mathbf{k} \), find (1) the curl and (2) the divergence.