17 V3 (a) Write the number 2 in the form x + iy. - IN

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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PART A

17
(4-)"
V3
(a) Write the number
2
in the form x + iy.
(b) Find all solutions z to the equation ez
-2 – 2i.
(c) Find all the solutions to 2° = 1 – iv3, and plot them on the complex plane.
(d) Write down the definition of the complex exponential, and using this prove that
(e*)" = en where n E Z, n > 0 and z E C.
Transcribed Image Text:17 (4-)" V3 (a) Write the number 2 in the form x + iy. (b) Find all solutions z to the equation ez -2 – 2i. (c) Find all the solutions to 2° = 1 – iv3, and plot them on the complex plane. (d) Write down the definition of the complex exponential, and using this prove that (e*)" = en where n E Z, n > 0 and z E C.
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