Solved: 3138 Let k be a constant, F = F(x, y, z), G = G(x, y, z), and = (x, y, z). Prove

Chapter 15, Problem 32

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Let \(k\) be a constant, F = F\((x, y, z)\),G = G\((x, y, z)\), and \(\phi=\phi(x, y, z)\). Prove the following identities, assuming that all derivatives involved exist and are continuous.

curl(\(k\)F) = \(k\) curl F

Equation Transcription:

 

 

𝜙  =  𝜙 

Text Transcription:

k

(x, y, z)

(x, y, z)

phi = phi(x, y, z)

k

k

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