1.

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

A. x2 + y2 constant
B. x2 – y2 constant
C. -x2 + y2 + constant
D. -x2 – y2 + constant
Answer» D. -x2 – y2 + constant


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