Question: Foe each (x, y, z), let F(x, y, z) be a vector pointed toward the origin with magnitude inversely proportional to the distance from the

Foe each (x, y, z), let F(x, y, z) be a vector pointed toward the origin with magnitude inversely proportional to the distance from the origin; that is, let

Show that F is conservative by finding a potential function for F.

F( )-x2 + y2 + z" x, y z

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