(a) look at these the complex numbers z1 = − √ 3 + i and z2...

(a) look at these the complex numbers z1 = − √ 3 + i and z2 = 3cis(π/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 into Cartesian 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 complex plane defined by S = {z ∈ C : |z − i| ≤ 1, |z + 2 − 3i| ≤ |z − 2 + i|}.

Expert Solution

Colby Messinger answered 1 year ago

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