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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?

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