Find curl g if g ay3bezi cz dx2j e sin x f yk and a b c

Question

Question: (a) Find curl G^→ if G^→ = (ay³+bez)i^→ + (cz +dx²)j^→ + (e sin x + f y)k^→ and a, b, c, d, e, f are constants.

(b) If curl G^→ is everywhere parallel to the yz-plane, what can you say about the constants a-f?

(c) If curl G^→ is everywhere parallel to the z-axis, what can you say about the constants a-f?