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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.2 Line Integrals, #24 · Multivariable Calculus · Vector calculus

If … is the gradient of …, show that none of these…

If $M (x, y, z) i + N (x, y, z) j$ is the gradient of $f (x, y, z)$ , show that none of these functions can depend on $z$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.2 Line Integrals, #24

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