Ononot — Consider the vector field \mathbf{F}(x, y, z) = \langle P, Q

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Multivariable & Vectormedium

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Consider the vector field $\mathbf{F}(x, y, z) = \langle P, Q, R \rangle$ . Which condition is sufficient to guarantee that $\mathbf{F}$ is the gradient of some scalar potential function $f$ in a simply connected domain?