Concept explainers
(a)
The error value
(a)
Answer to Problem 14E
The error value decreases as the value of n gets increases.
Explanation of Solution
Given information:
Use a geometry formula to find the volume V of the sphere
Formula used:
Calculation:
Since, volume of sphere is given by
Here,
So
Now calculate the error for each value of n. Subtract this value from each volume being obtained.
Conclusion:
The error value decreases as the value of n gets increases.
(b)
The percentage error is determined by using the MRAM approximation.
(b)
Answer to Problem 14E
The percentage of error decreases as the n value increases.
Explanation of Solution
Given information:
Use a geometry formula to find the volume V of the sphere
Formula used:
On multiplying the error by 100 then divide by volume.
Calculation:
Now from percentage error, multiply the error by 100 then divide by volume Obtained for each value of n.
Conclusion:
The percentage of error decreases as the n value increases.
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus and Its Applications (11th Edition)
Precalculus (10th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus & Its Applications (14th 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