Concept explainers
(a)
To find: The slope of the secants
(a)
Answer to Problem 8E
The units for the slope are
Secant | Slope |
Explanation of Solution
Given information: The below figure shows the distance-time graph for a wrench that fell from the top platform of a communication mast on the moon to the station roof
Calculation:
As shown in the graph the points are
The slope of the secant
So, the slope of the secant
The slope of the secant
So, the slope of the secant
The slope of the secant
So, the slope of the secant
The slope of the secant
So, the slope of the secant
Therefore, the following table shows the slope of the secant lines:
Secant | Slope |
(b)
To find: The speed at the point
(b)
Answer to Problem 8E
The speed at the point
Explanation of Solution
Given information: The below figure shows the distance-time graph for a
Calculation:
As calculated in part (a), the slope of the line joining the point nearest to the point
The point nearest to the point
Therefore, the speed at the point
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- 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