Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.6 Stokes’ Theorem and the Curl of F, #18 · Multivariable Calculus · Green, Stokes & divergence

### 19–22 find a potential … if it exists

Suppose $curl F = 0$ and $div F = 0$ . (a) Why is $F$ the gradient of a potential? (b) Why does the potential satisfy Laplace's equation $f_{xx} + f_{y y} + f_{z z} = 0$ ?

### 19–22
find a potential $f$ if it exists.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.6 Stokes’ Theorem and the Curl of F, #18

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