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Consider the vector field F = (x2 + 2y + az)i + (bx - 3y - 2)j + (4x + cy + 2z)k. [a] Find

Consider the vector field F = (x2 + 2y + az)i + (bx - 3y - 2)j + (4x + cy + 2z)k. [a] Find the constants a, b, and c so that F becomes irrotational. [b] If F is irrotational, find a scalar function f(x, y, 2) such that Vf = F

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