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  3. (a) look at these the complex numbers z1 = ? ? 3 +

(a) look at these the complex numbers z1 = ? ? 3 + i and...

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Advance Math

(a) look at these the complex numbers z1 = ? ? 3 + i and z2 =3cis(?/4). write the following complex numbers in polar form,writing your answers in principal argument:

i. z1

ii. z1/|z1|. Additionally, convert only this answer intoCartesian form.

iii. z1z2

iv. z2/z1

v. (z1) -3

vi. All complex numbers w that satisfy w 3 = z1.

(b) On an Argand diagram, sketch the subset S of the complexplane defined by S = {z ? C : |z ? i| ? 1, |z + 2 ? 3i| ? |z ? 2 +i|}.

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