![Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book](https://www.bartleby.com/isbn_cover_images/9780321954237/9780321954237_largeCoverImage.gif)
Concept explainers
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.
- a. If the curve y = f(x) on the interval [a, b] is revolved about the y-axis, the area of the surface generated is
- b. If f is not one-to-one on the interval [a, b] then the area of the surface generated when the graph of f on [a, b] is revolved about the x-axis is not defined.
- c. Let f(x) = 12x2. The area of the surface generated when the graph of f on [−4, 4] is revolved about the x-axis is twice the area of the surface generated when the graph of f on [0, 4] is revolved about the x-axis.
- d. Let f(x) = 12x2. The area of the surface generated when the graph of f on [−4, 4] is revolved about the y-axis is twice the area of the surface generated when the graph of f on [0, 4] is revolved about the y-axis.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 6 Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Glencoe Math Accelerated, Student Edition
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)