Question: Determine whether the vector field is conservative, and, if so, find a potential function.F =(cos(z))i +(8y)j (x sin(z))kStep 1 of 4Recall the cross-partial property of
Determine whether the vector field is conservative, and, if so, find a potential function.F =(cos(z))i +(8y)j (x sin(z))kStep 1 of 4Recall 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--- is is not conservative
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
