Concept explainers
To find: The smallest value of
Answer to Problem 23P
The minimum value of
Explanation of Solution
Given information:
The given radius
Calculation:
Consider the line with slope
Equation to the normal to the line
These two lines are shown in the following diagram. Green line represents
Figure
From the figure it is observed that, the points with integer coordinates are
Solve the equation
Put
Put
Hence the point
Solve the equation
Put
Put
Hence the point
The slope of the line
Thus the slope of the line
Now solve this equation for
Therefore, the minimum value of
Chapter 3 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