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Determine Whether F(x,y,z)=zxy,zyx,ln(xy)\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangle

Question 164

Essay

Determine whether F(x,y,z)=zxy,zyx,ln(xy)\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangle is conservative and if so, find a potential function.

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