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Consider the vector field F(x,y,z) =〈2xycos(z) + 1,x2cos(z) +zeyz,yeyz−x2ysin(z)〉. Use the component test to determine if...

Consider the vector field F(x,y,z) =〈2xycos(z) + 1,x2cos(z) +zeyz,yeyz−x2ysin(z)〉. Use the component test to determine if F is conservative. If it is, find a potential function f.

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