Question: Question I (a) Let 2 = a + it) and 1? denote its complex conjugate. respectively. Suppose that, a and b are positive constants. Find

Question I (a) Let 2 = a + it) and 1?

Question I (a) Let 2 = a + it) and 1? denote its complex conjugate. respectively. Suppose that, a and b are positive constants. Find the values of a and b, given that z=6i and z-E=l3. [Zmarks] (b) Let 2: 2+4i . Find the polar and exponential forms of :: (giving your answer in four decimal places). [3 marks] (c) Given that 2' = 3 4t. Obtain the four solutions of z and giving your answer in Cartesian form in three decimal places. [4 marks]

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