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Finding potential functions Determine whether
Chapter 13, Problem 26E(choose chapter or problem)
Determine whether the following vector fields are conservative on the specified region. If so, determine a potential function. Let \(R^{*}\) and \(D^{*}\) be open regions of \(\mathbf{R}^{2}\) and \(\mathbf{R}^{3}\), respectively, that do not include the origin.
\(\mathbf{F}=\left\langle x^{3}, 2 y,-z^{3}\right\rangle \text { on } \mathbf{R}^{3}\)
Questions & Answers
QUESTION:
Determine whether the following vector fields are conservative on the specified region. If so, determine a potential function. Let \(R^{*}\) and \(D^{*}\) be open regions of \(\mathbf{R}^{2}\) and \(\mathbf{R}^{3}\), respectively, that do not include the origin.
\(\mathbf{F}=\left\langle x^{3}, 2 y,-z^{3}\right\rangle \text { on } \mathbf{R}^{3}\)
ANSWER:Solution 26EThe give