Discussion
Three of these four hold for a conservative field. The exception is
Answer: A
Conservativeness constrains the curl, not the divergence: the field \( x\mathbf{i} + y\mathbf{j} \) has potential \( (x^{2}+y^{2})/2 \) and divergence two. The other three are equivalent restatements of conservativeness on a simply connected region
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