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(1 point) For each of the following vector fields F, decide whether it is conservative or not by computing curl(F). If the vector field is conservative, input a potential function f (that is, a function f such that V f = F). If it is not conservative, type N. A. F (x, y) = (6x - 3y) i + (-3x + 2y) j f (z, y) = B. F (x, y) = 3yi + 4xj f (x, y) = C. F (x, y, z) = 3xi + 4yj + k f ( x, y, z ) = D. F (x, y) = (3 siny) i + (-6y + 3x cosy) j f (x, y) = E. F (x, y, z) = 3x2i - 3y j + 122k f (x, y, z) = Note: Your answers should be either expressions of x, y and z (e.g. "3xy + 2yz"), or the letter "N"