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Verify that F = (6xy + z)i + (3x z)j + (3xz - y) is a Conservative field? Also find it's scalar potential function

  

Verify that F = (6xy + z)i + (3x z)j + (3xz - y) is a Conservative field? Also find it's scalar potential function Verify Green's theorem for $[(x 2xy) dx + (xy + 3)dy Jalong the curves bounded by y = 8x and x = 2

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To verify if the vector field F 6xy zi 3x zj 3xz y is conservative we can check if its curl is zero ... blur-text-image

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