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Determine if the following vector fields are conservative, and if not, explain. a) F(x,y) = 3xyi+2xyj b) F(x,y)=xe (2yi+xj) c) F(x,y,z)=xyzi+xyzj+xyzk

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Determine if the following vector fields are conservative, and if not, explain. a) F(x,y) = 3xyi+2xyj b) F(x,y)=xe (2yi+xj) c) F(x,y,z)=xyzi+xyzj+xyzk

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