Concept explainers
To find: An expression for the given graph.
Answer to Problem 52E
The expression for the function of the given graph is
Explanation of Solution
Formula used:
Point slope form,
The equation of the circle with center
Calculation:
The graph has an upper half of a circle and two lines.
Obtain the expression for an upper half of a circle with center
The equation of the circle with center
Find the value of y to obtain the equation of the upper half of the circle.
Obtain the expression for a line with slope
Use the point slope form and obtain the equation of the line with slope
Obtain the expression for the other line with slope
Use point slope form and obtain the equation of the line with slope
Combine the equations (1), (2), and (3) and the domains to obtain the required function.
The
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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