Given the vector field

G = (16xy – z) **a _{x}** + 8x

^{2}

**a**– x

_{y}**a**

_{z}(a) is G irrotational or conservative

(b) find the net flux of G over the cube 0 < x, y, z < 1

(c) determine the circulation of G around the edge od the square z = 0, 0 < x, y < 1 assume anticlockwise direction