For each vector field F(x, y, z), compute the curl of F and, if possible, find a function f(x, y, z) so that F=Vf. If no such function f exists, enter NONE. (a) Suppose F(x, y, z) = (2yzeyz + 32 cos(xz))i + (2xze)j + (2ryeyz + 6xz cos(xz))k. curl(F) = f(x, y, z) = (b) Suppose F(x, y, z) curl(F) = f(x, y, z) = the H i == + 3 19 +-. Z (c) Suppose F(x, y, z) = (-5y,6x, 32). curl(F) = f(x, y, z) =