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Concept explainers
(a)
To draw: a diagram that represents the box.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 5E
Explanation of Solution
Given:
Square piece of material, 24 centimeters on a side
Calculation:
Let the sides of the box be
Conclusion:
Thus, the requred diagram is drawn.
(b)
To verify:the volume
(b)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
In Part A, the length and width of the box are
Conclusion:
Therefore, the volume
(c)
To complete: the table,observe the behavior and find the limit.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 5E
The value of the limit is
Explanation of Solution
Given:
Calculation:
Part C
3 | 3.5 | 4 | 4.1 | 4.5 | 5 | |
972 | 1011.5 | 1024 | 1023.52 | 1012.5 | 980 |
from the table above. thefunction appears to take values close to
Conclusion:
The value of the limit is
(d)
To graph: the volume function and verify the volume is maximum when
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 5E
Explanation of Solution
Calculation:
Graphing this function, it takes its highest value when
Conclusion:
Therefore, the volume is maximum when
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
- 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
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