Concept explainers
i.
To calculate: A rectangular package has a combined length and girth (perimeter of cross section) of 108 inches. Write the volume V of the package as a function of x. What is the domain of the function?
i.
Answer to Problem 62E
Volume V of the package is
Explanation of Solution
Given information: Combined length and girth (perimeter of cross section) of a rectangular package is 108 inches. so
Formula used:
Calculation:
Here length is x, breadth is x and height is y , so
Put the value of y from equation
Domain is the set of all values for which the function is defined.
Volume is always greater than zero. i.e.
Conclusion: Volume V of the package is
ii.
To graph: A rectangular package has a combined length and girth (perimeter of cross section) of 108 inches Use a graphi.cal utility to graph the function.
ii.
Answer to Problem 62E
Explanation of Solution
Given information:
From the above part
Concept used:
To plot the graph keep
So, when
iii.
To calculate: A rectangular package has a combined length and girth (perimeter of cross section) of 108 inches. What dimensions will maximize the volume of the package? Explain
iii.
Answer to Problem 62E
The dimensions are
Explanation of Solution
Given information: From the above graph we can see that volume is maximized when
so length = 18 inches, width = 18 inches and height = 36 inches
Conclusion: The dimensions are
Chapter 1 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