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10 Nov 2019
Please show your work so that I can understand how to solve.Thanks
Show several ways that the vector field F[X] = is not a gradient vector filed. That is, prove that there cannot be a scalar function phi[X] so that phi [X] = F[X] or equivalently, d phi [X] = F[X] X. 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 W[X] = 1/x2+y2 ?
Please show your work so that I can understand how to solve.Thanks
Show several ways that the vector field F[X] = is not a gradient vector filed. That is, prove that there cannot be a scalar function phi[X] so that phi [X] = F[X] or equivalently, d phi [X] = F[X] X. 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 W[X] = 1/x2+y2 ?