Solution: Finding a Potential Function In Exercises 5156, determine whether the vector

Chapter 15, Problem 54

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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.

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

Text Transcription:

F(x, y, z) = ye^{z}i + ze^{x}j + xe^{y}k

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