Question: Recall the cross-partial property of conservative vector fields.F =P, Q, Ris conservative if and only ifPy = Qx, Qz = Ry, and Pz = RxUse

Recall the cross-partial property of conservative vector fields.F =P, Q, Ris conservative if and only ifPy = Qx, Qz = Ry, and Pz = RxUse this property to check ifF =cos(z),8y,x sin(z)is conservative.Py=Qx=Qz=Ry=Pz=Rx=ThusF =cos(z),8y,x sin(z)---Select---isis not conservative.

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