Let r (x, y, z) and e r r r Show that if a function (x, y, z) F(r) depends only on the distance from the origin r r x 2 y 2 z 2 , then Vf F'(r)er...

The gradient of f is the following vector Hence af y We mus ...

Let r = (x, y, z) and e r =r/ r. Show that if a function (x,

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Let r = (x, y, z) and e_r=r/ ΙΙrΙΙ. Show that if a function ƒ(x, y, z) = F(r) depends only on the distance from the origin r = ΙΙrΙΙ= √x²+ y²+ z², then

Vf = F'(r)er

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 09:01 AM

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Let r = (x, y, z) and e r =r/ r. Show that if a function (x,

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Vf = F'(r)er

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The gradient of f is the following vector Hence af y We mus...View the full answer

Calculus

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