a) Set y=2−i. Determine Im(yˉ​). b) Express 1+i3​ in polar form. Hence, use de Moivre's Theorem to calculate (1+i3​)3 Yo

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a) Set y=2−i. Determine Im(yˉ​). b) Express 1+i3​ in polar form. Hence, use de Moivre's Theorem to calculate (1+i3​)3 Yo

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a) Set y=2−i. Determine Im(yˉ​). b) Express 1+i3​ in polar form. Hence, use de Moivre's Theorem to calculate (1+i3​)3 You can give your answer in Cartesian or polar form. c) Write the fraction 2−i3−2i​ in the form a+ib where a,b∈R. d) Find all complex numbers v such that v3=−1.
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