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An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + iv(x, y), where $${\text{i}} = \sqrt { - 1} .$$   If u(x, y) = 2xy, then v(x, y) must be

An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + iv(x, y), where $${\text{i}} = \sqrt { - 1} .$$   If u(x, y) = 2xy, then v(x, y) must be Correct Answer -x<sup>2</sup> + y<sup>2</sup> + constant

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