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5. (a) Let = = (-a + ai)(b + bv3/) where a and b are positive real numbers. Without using a calculator, determine arg z.

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5. (a) Let = = (-a + ai)(b + bv3/) where a and b are positive real numbers. Without using a calculator, determine arg z. (4 marks) (b) Determine the cube roots of 32v3 + 32/ and sketch them together in the complex plane (Argand diagram)

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