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THEOREM 17.10 Divergence of Radial Vector Fields For a real number p, the divergence of the radial vector field (x, y, z) 3 — Р F = |r| (x² + y? + z?)r/2 is V.F = %3D |r|"

THEOREM 17.10 Divergence of Radial Vector Fields For a real number p, the divergence of the radial vector field (x, y, z) 3 — Р F = |r| (x² + y? + z?)r/2 is V.F = %3D |r|"

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Divergence of radial fields Calculate the divergence of the
following radial fields. Express the result in terms of the position
vector r and its length | r | . Check for agreement with Theorem.

F = ⟨x, y, z⟩(x) + y2 + z2) = r | r | 2

THEOREM 17.10 Divergence of Radial Vector Fields For a real number p, the divergence of the radial vector field (x, y, z) 3 — Р F = |r| (x² + y? + z?)r/2 is V.F = %3D |r|"
Transcribed Image Text:THEOREM 17.10 Divergence of Radial Vector Fields For a real number p, the divergence of the radial vector field (x, y, z) 3 — Р F = |r| (x² + y? + z?)r/2 is V.F = %3D |r|"
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