Please show your work so that I can understand how to solve.Thanks
Show several ways that the vector field is not a gradient vector field. That is, prove that there cannot be a scalar function Phi[X] so that or equivalently, Integrate F around the unit radius counterclockwise circle centered at the origin. Calculate Swirl[F[X]]. Sketch the vector field. Which of the methods (a)-(c) apply to the vector field ?