Solution: 3138 Let k be a constant, F = F(x, y, z), G = G(x, y, z), and = (x, y, z)
Chapter 15, Problem 35(choose chapter or problem)
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.
div(\(\phi\)F) = \(\phi\) div F + \(\nabla \phi\) F
Equation Transcription:
𝜙 = 𝜙
𝜙
𝜙
∇𝜙
Text Transcription:
k
(x, y, z)
(x, y, z)
phi = phi(x, y, z)
phi
phi
nabla phi
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