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(a) Without using a calculator, determine z in polar form. (You must sketch z and w in the complex plane as part of your answer.) (b) Determine the cube roots of z in polar form.

(a) Without using a calculator, determine z in polar form. (You must sketch z and w in the complex plane as part of your answer.) (b) Determine the cube roots of z in polar form.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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V V 1. Let z = 2 3+2i and w=-2 2+2 2i. (a) Without using a calculator, determine zw, in polar form. (You must sketch z and w in the complex plane as part of your answer.) (b) Determine the cube roots of z in polar form. 2. Carefully sketch the set of points in the complex plane defined by {z |z−4+i| ≤|z+2-2i|}.
Transcribed Image Text:V V 1. Let z = 2 3+2i and w=-2 2+2 2i. (a) Without using a calculator, determine zw, in polar form. (You must sketch z and w in the complex plane as part of your answer.) (b) Determine the cube roots of z in polar form. 2. Carefully sketch the set of points in the complex plane defined by {z |z−4+i| ≤|z+2-2i|}.
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