5. For a vcctor Á written in spherical coordinates, A = A,f + A,® + AøØ, the spherical coordinate divergences is 1 (sin 0 Ag) + 1 V·Ã= (r² A,) + r2 dr r sin 0 Ə0 r sin 0 dø What is the Laplacian in spherical coordinates?

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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5. For a vector Á written in spherical coordinates, A = A,î + A9ð + AgØ, the spherical
coordinate divergences is
1
1
(r² A,) +
p2 dr
(sin 0 Ag) +
r sin 0 Ə0
r sin 0 do
What is the Laplacian in spherical coordinates?
Transcribed Image Text:5. For a vector Á written in spherical coordinates, A = A,î + A9ð + AgØ, the spherical coordinate divergences is 1 1 (r² A,) + p2 dr (sin 0 Ag) + r sin 0 Ə0 r sin 0 do What is the Laplacian in spherical coordinates?
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