Rotation fields are usually not conservative a. Prove that

Chapter 14, Problem 55

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Rotation fields are usually not conservative a. Prove that the rotation field F = 8 -y, x9 _ r _p , where r = 8x, y9, is not conservative for p _ 2. b. For p = 2, show that F is conservative on any region not containing the origin. c. Find a potential function for F when p = 2.

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