Concept explainers
To calculate: To sketch the set of
Answer to Problem 26E
Graph for set of complex numbers is sketched on complex plane
Explanation of Solution
Given information: Set of complex numbers is
Formula Used:
Complex number is a number that can be expressed in the form of
Calculation:
Set of complex numbers is given as
Here, set represents the complex numbers with modulus less than and equal to
Thus,
This is set of complex number such that all points are at least at a distance of
Hence, the graph is a region enclosed by a disc defined by the boundaries of two circles, one of radius
Here, shaded region represents the points that are included
Conclusion:
Hence, set of complex numbers are sketched
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning