15_2_3 - F cannot be conservative.

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3. F = x i - y j x 2 + y 2 , F 1 = x x 2 + y 2 , F 2 = - y x 2 + y 2 . We have F 1 y = - 2 xy ( x 2 + y 2 ) 2 , F 2 x = 2 xy ( x 2 + y 2 ) 2 . Thus
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This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

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