Concept explainers
a.
Write a function
a.
Answer to Problem 93E
Explanation of Solution
Calculation:
After cutting the squares with sides of length
Hence, the volume of the box is,
b.
Determine the domain of the function
b.
Answer to Problem 93E
Explanation of Solution
Calculation:
The maximum value of
Hence, the domain of the
c.
Use the table to estimate the dimensions that produce a maximum volume.
c.
Answer to Problem 93E
The dimensions will be
Explanation of Solution
Calculation:
The table for the values of
We can see from the table that the maximum value of volume occurs when the height
Hence, the sides will be
d.
Compare your result with that of part (c).
d.
Answer to Problem 93E
The results of the both parts match.
Explanation of Solution
Calculation:
Let us draw the graph of the function
So, from the graph we can observe that the maximum volume is at the height of
Hence, the results of the both parts match.
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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