Concept explainers
The change in point R as P is taken closer and closer to the x-axis.
Answer to Problem 19P
The point R approaches the midpoint of radius
Explanation of Solution
Draw the vertical line from P to O in the given graph as shown below in Figure 1.
From Figure 1, the angle
The triangle QOR is isosceles.
Thus,
Let
The cosine law of the triangle QOR is,
Since
From Figure 1, assume that the line
The point P is closer and closer to the x-axis, that is,
If
Since
If the point P is closer and closer to the x-axis, then x approach
That is, R approach
Therefore, the point R approaches the midpoint of radius
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