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37. Find in modulus-argument form and plot on the complex plane all the n-th roots of a for the following values of n and a: (a) n = 3 and a = 1 (c) n = 3 and a = -2 + 2i (b) n = 4 and a = 1 + i (d) n = 5 and a = i.

37. Find in modulus-argument form and plot on the complex plane all the n-th roots of a for the following values of n and a: (a) n = 3 and a = 1 (c) n = 3 and a = -2 + 2i (b) n = 4 and a = 1 + i (d) n = 5 and a = i.

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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37. Find in modulus-argument form and plot on the complex plane all the n-th roots of a for the following values of n and a: (a) n = 3 and a = 1 (c) n = 3 and a = -2 + 2i (b) n = 4 and a = 1 + i (d) n = 5 and a = i.
Transcribed Image Text:37. Find in modulus-argument form and plot on the complex plane all the n-th roots of a for the following values of n and a: (a) n = 3 and a = 1 (c) n = 3 and a = -2 + 2i (b) n = 4 and a = 1 + i (d) n = 5 and a = i.
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