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6. (a) Express -1 + 72 (1 + 32) (3 - 2) in the forms r + iy and re. Solve the equation 23 =

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6. (a) Express -1 + 72 (1 + 32) (3 - 2) in the forms r + iy and re". Solve the equation 23 = 4(-1 + 72) (1 + 3i) (3 - 2) indicating the positions of the roots in the complex plane. (b) Express log(2 + 2) in the form a + ib, where a and b are real. (c) Sketch the region of the complex plane in which both the inequalities 121

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