Get solution: Finding a Potential Function In Exercises 5156, determine whether the

Chapter 15, Problem 56

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In Exercises 51 - 56, determine whether the vector field F is conservative. If it is, find a potential function for the vector field.

\(\mathbf{F}(x, y, z)=\frac{x}{x^{2}+y^{2}} \mathbf{i}+\frac{y}{x^{2}+y^{2}} \mathbf{j}+\mathbf{k}\)

Text Transcription:

F(x, y, z) = x / x^2 + y^{2}i + y / x^2 + y^{2} j + k

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