(a)
To find: The formula for the
(a)
Answer to Problem 18E
The volume of the box is
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider the dimension of the base is
Then, the volume of the box is,
(b)
To find: The domain of
(b)
Answer to Problem 18E
The domain is
Explanation of Solution
Calculation:
Consider the range required to make the box is,
Consider the interval is
The graph is shown in Figure 2
Figure 2
(c)
To find: The maximum value and the value of
(c)
Answer to Problem 18E
The maximum value is at
Explanation of Solution
Calculation:
Consider that the maximum value is obtained at
Then,
(d)
To find: The confirmation for the result of part (c).
(d)
Answer to Problem 18E
The maximum value occur at
Explanation of Solution
Calculation:
Consider the maximum value occur at,
Thus, it is clear that the maximum value occur at
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd 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