1a) Given a conservative vector field F = (A, B , C) such that A = 2zx, B = 3z + 2y, C(0,0,0) = 1 and C is independent of z. Find C. b) Find a potential of F from part (a). c) Find the integral of F from part (a) over the curve F(t) = (t, t², t³), where t goes from 0 to 1.

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