Concept explainers
b.
Find the function V that represent the volume of the box.
b.
Answer to Problem 3E
The equation of volume is
Explanation of Solution
Given:
It is given in the question that the it has to be create an open box from a square piece of material
Concept Used:
In this, use the concept of understanding the question and make a linear equation and also use the formula of volume i,e,
Calculation:
Since, the size of the square piece =
Let say size of square cut from corner =
The sides of the Open box would be
Volume of the Open box =
Conclusion:
The equation of volume is
c.
Calculate the volume by using the different values of the number in the table.
c.
Answer to Problem 3E
The values for the different x are
Explanation of Solution
Given:
It is given in the question that the box has a maximum volume when
Concept Used:
In this, use the concept of putting the given values in the above get solution and get the answer.
Calculation: Here, the equation is
Put
Put
Put
Put
Put
Put
Put
Conclusion:
The values are
d.
Draw the graph of the function.
d.
Explanation of Solution
Given:
It is given in the question that the expression for the volume is
Graph:
Interpretation:
Here, the function is
In the graph, it has to be seen that the maximum volume is at
Chapter 12 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