Show that f = 0 if f is a differentiable scalar function of x,y, and

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Show that ∇ × ∇f = 0 if f is a differentiable scalar function of x,y, and z.

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Mathematics for Physical Chemistry

ISBN: 978-0124158092

4th Edition

Authors: Robert G. Mortimer

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Question Posted: Dec 28, 2018 08:14 AM

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Let F(x, y, z) = f(r)r, where r ||r|| = x2 + y2 z2) and f is a differentiable scalar function (except possibly at r = 0). Show that curl F = 0 (except at r = 0).
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Show that f = 0 if f is a differentiable scalar function of x,y, and

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Mathematics for Physical Chemistry

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