Answer: In 14, verify that div F 0 and curl F 0 for the given vector field F(x, y) by
Chapter 20, Problem 3(choose chapter or problem)
In Problems 1–4, verify that div \(\mathbf{F}=0\) and curl \(\mathbf{F}=\mathbf{0}\) for the given vector field F(x, y) by examining the corresponding complex function \(g(z)=P(x, y)-i Q(x, y)\). Find a complex potential for the vector field and sketch the equipotential lines.
\(\mathbf{F}(x, y)=\frac{x}{x^{2}+y^{2}} \mathbf{i}+\frac{y}{x^{2}+y^{2}} \mathbf{j}\)
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