consider z=i e-¹/4 (note the “i” out front: this is NOT yet in the “standard polar form") a) Rewrite z in the form z = Aeie (What is the [real] value of A? What is the value of 0?) b) Plot z in the complex plane (y-axis = Im, x-axis = Re). For you to think about: could you describe what "multiply by i" does (in general) to any complex number in the complex plane?
consider z=i e-¹/4 (note the “i” out front: this is NOT yet in the “standard polar form") a) Rewrite z in the form z = Aeie (What is the [real] value of A? What is the value of 0?) b) Plot z in the complex plane (y-axis = Im, x-axis = Re). For you to think about: could you describe what "multiply by i" does (in general) to any complex number in the complex plane?
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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I need some help with this.
![consider z=i e-i¹/4 (note the “i” out front: this is NOT yet in the “standard polar
form")
a) Rewrite z in the form z = Ae¹e (What is the [real] value of A? What is the value of 0?)
b) Plot z in the complex plane (y-axis = Im, x-axis = Re). For you to think about: could you describe
what "multiply by i" does (in general) to any complex number in the complex plane?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc10fc8f-c13e-4fd9-87dd-492a474a2ca4%2Fad112508-bff4-43a2-83cf-ad2024c16344%2Fjwh691b_processed.png&w=3840&q=75)
Transcribed Image Text:consider z=i e-i¹/4 (note the “i” out front: this is NOT yet in the “standard polar
form")
a) Rewrite z in the form z = Ae¹e (What is the [real] value of A? What is the value of 0?)
b) Plot z in the complex plane (y-axis = Im, x-axis = Re). For you to think about: could you describe
what "multiply by i" does (in general) to any complex number in the complex plane?
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