a.
Write a function for the total area
a.
Answer to Problem 73E
Explanation of Solution
Calculation:
Here, we will consider the figure given below:
As, the area of a rectangle is the product of length and width, the total area of the page is,
Thus, the area of a print is:
Hence, the total area in terms of
b.
Find the domain of the function based on the physical constraints of the problem.
b.
Answer to Problem 73E
Explanation of Solution
Calculation:
Here, since the margins on the left and right are
Hence, the domain is
c.
Graph the area function and approximate the dimensions of the page by using graphing utility.
c.
Answer to Problem 73E
Explanation of Solution
Calculation:
Here, by using graphing utility the graph of the area function will be:
Now, by using trace utility it is found that the area is minimum when:
Hence, the area is minimum when
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