Question: Download ?age < (3) (3 marks) Sketch the following subset of C. A {z C: Iz41 < 16) n {z e C : Arg(z4)

Download ?age < (3) (3 marks) Sketch the following subset of C.

A {z C: Iz41 < 16) n {z e C : Arg(z4)

Download ?age < (3) (3 marks) Sketch the following subset of C. A {z C: Iz41 < 16) n {z e C : Arg(z4) e [0, (Hint: Use de Moivre's Thcxrem to figure out the the geometric effect raising a complex number z to the power of 4. What happens to the angle? Do some experiments with different complex numbers.] ZOOM

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