Question: How do I solve this? 5.) Define a vector field F = (3x2y+ 23, x3+ 2yz, y2+3xz2) on R3. Compute the divergence and the curl

How do I solve this? 5.) Define a vector field F

How do I solve this?

5.) Define a vector field F = (3x2y+ 23, x3+ 2yz, y2+3xz2) on R3. Compute the divergence and the curl of F. Determine whether F is conservative and whether F is the curl of another vector field. Explain your answer by citing the relevant theorems from the book. 10 points

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