To find: An expression for the function whose graph is the top half of the circle
Answer to Problem 50E
The function of the top half of the circle
Explanation of Solution
Given:
The graph is the top half of the circle
Calculation:
Solve the equation of the circle
Since the graph is the top half of the circle, consider the root with a positive radical. Therefore, the function of the top half of the circle is
The expression inside the square root cannot be negative. This implies,
Thus, the domain is
Therefore, the function of the top half of the circle
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