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10 Nov 2019
Please show your work so that I can understand how to solve.Thank you.
Show several ways that the vector field F[X] =1/x2 + y2(-y/x) is not a gradient vector field. That is, prove that there cannot be a scalar function [X] so that [X]= F[X] or equivalently, d [X] = F[X].dX. 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(-y/x)/
Please show your work so that I can understand how to solve.Thank you.
Show several ways that the vector field F[X] =1/x2 + y2(-y/x) is not a gradient vector field. That is, prove that there cannot be a scalar function [X] so that [X]= F[X] or equivalently, d [X] = F[X].dX. 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(-y/x)/
Casey DurganLv2
25 Feb 2019