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Determine Whether F(x,y,z)=x2cos(x3),yey2,zsinz\mathrm { F } ( x , y , z ) = \left\langle x ^ { 2 } \cos \left( x ^ { 3 } \right) , y e ^ { y ^ { 2 } } , z \sin z \right\rangle

question 14

Essay

Determine whether F(x,y,z)=x2cos(x3),yey2,zsinz\mathrm { F } ( x , y , z ) = \left\langle x ^ { 2 } \cos \left( x ^ { 3 } \right) , y e ^ { y ^ { 2 } } , z \sin z \right\rangle is conservative and if so, find a potential function.


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