Suppose that z = x + iy. Determine how to express x and y in terms of z and . Then write the following functions in terms of the symbols z and .
(a) f(z) = x2 + y2
(b) f(z) = x − 2y + 2 + (6x + y)i
(c) f(z) = x2 − y2 − (5xy)i
(d) f(z) = 3y2 + (3x2)i
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