)for each vector field vector f(x, y,z), compute the curl of vector f and, if possible, find a function f(x, y, z) so that vector f = delta f. if no such function exists, enter none. suppose f vector (x, y, z) = (3yze^3xyz + 3z^2cos(xz^2))i vector + (3xze^3xyz)j vector + (3xye^ 3xyz + 6xz cos(xz^2))k vector. suppose vector f (x, y, z) = vector i /x + vector j / y + vector k / z. suppose vector f(x, y, z) = < -2y, 3x,7z> .