Please show your work so that I can understand how to solve.Thanks
Show that the vector field F[X] = is not a gradient vector field. That is, prove that there cannot be a scalar function p[X] so that p[X] = F[X]. Show that the vector field F[X] = is not a gradient vector field. Show that the vector field G[X] = is a gradient vector field. That is, prove that there IS scalar function p[X] so that p[X] = G[X] everywhere G is defined.
