For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential function (that is, Vf= F). If it is not conservative, type N. A. F(x, y) = (2x + 1y)i + (1x + 12y) j f(x, y) = B. F(x, y) = 1yi + 2xj f(x, y) = C. F(x, y, z)= 1xi + 2yj+k f (x, y, z) = D. F(x, y) = (1 sin y)i + (2y + 1x cos y) j f (x, y) = E. F(x, y, z) = 1x²i + 1y²j+6z²k f(x, y, z) = Note: Your answers should be either expressions of x, y and z (e.g. "3xy + 2yz"), or the letter "N"

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