(1 point) For each of the following vector fields F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that isãVf F) with f(0,0) = 0 if it is not conservative, type N A. F (z, y) (12e + 4y) i + (4x + 8y)I f(x,v) = f (x, y) + (Sy + 6z cos y) J C. F (z, y) = ( f(x,v)= 6 sin y)'1 Note: Your answers should be either expressions of x and y (e.g. "3xy + 2y"), or the letter "N"