Concept explainers
(a)
To find: The area of the corrals as the function of
(a)
Answer to Problem 81E
The area of the fence as the function of
Explanation of Solution
Given:
The length
Calculation:
As the number of corrals with the length
Consider the expression for area of the corrals is,
(b)
To find: The table for the possible values of
(b)
Answer to Problem 81E
The required table is shown in Figure 1 and the area is maximum for
Explanation of Solution
Consider the expression for the area of the corrals is,
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
The table for the area with the corresponding change in
Table 1
(c)
To find: The graph for the area function and the graph to approximate the dimension that will produce the maximum in-closed area.
(c)
Answer to Problem 81E
The required graph is shown in Figure 1and area is maximum for
Explanation of Solution
Consider the expression for the area function is,
The required graph is shown in Figure 1
Figure 1
The graph shows that the area is maximum for
(d)
To find: The expression for the area function in the standard form.
(d)
Explanation of Solution
Consider the expression for the area function is,
Then,
The maximum area occurs at the vertex
The dimension for
(e)
To find: The comparison for part (b), part(c) and part (d)
(e)
Answer to Problem 81E
The value of
Explanation of Solution
The values of
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning