(b) Find all solutions z to the equation e = -2 – 2i.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 22RE
icon
Related questions
Question

PART B

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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,