5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for 128j. Hint: Express 7 as 7e2nk for k = 0, 1, 2,, 6 (Why is this correct?) and find the roots for each case. The roots must all fall on a circle on the complex plane. How would you do similarly for 128j?
5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for 128j. Hint: Express 7 as 7e2nk for k = 0, 1, 2,, 6 (Why is this correct?) and find the roots for each case. The roots must all fall on a circle on the complex plane. How would you do similarly for 128j?
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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Question
![5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for
128j.
Hint: Express 7 as 7e2nk for k = 0, 1, 2, , 6 (Why is this correct?) and find the roots
for each case. The roots must all fall on a circle on the complex plane. How would you do
similarly for 128j?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dcbf766-e905-47a8-a328-a52177111de5%2Fd6dc1037-e91f-4093-8ecf-e045e6d90714%2Fsy7ccy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for
128j.
Hint: Express 7 as 7e2nk for k = 0, 1, 2, , 6 (Why is this correct?) and find the roots
for each case. The roots must all fall on a circle on the complex plane. How would you do
similarly for 128j?
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