Concept explainers
(a)
To Find: The area of the shaded region in the given figure 1
(a)
Answer to Problem 62E
The area of the shaded region is
Explanation of Solution
Given:
The given figure is shown in Figure 1
Figure 1
Calculation:
Consider the area of the shaded region from the figure 1 is calculated as,
Consider the area of the triangle
Consider the area of the triangle
Then, the triangle
(b)
To Find: The graphing utility to graph the function.
(b)
Answer to Problem 62E
The required graph is shown in Figure 2
Explanation of Solution
Consider the required function is,
The graph for the above triangle is shown in Figure 2
Figure 2
(c)
To Find: The domain of the function and explain how the decreasing length of the eight centimetre line segment affects the area of the region and the domain of the function.
(c)
Answer to Problem 62E
The domain of the function is in the range
Explanation of Solution
Consider the graph for the function shown in Figure 3
Figure 3
From the above figure the domain of the function is in the range
Consider the diagram shown in Figure 4
Figure 4
The figure shows that as the length of the AD increase the area of the shaded region decreases. For the line segment of the length decreasing the domain increases. The negative part of the area expression decreases as it attains the maximum value.
Chapter 6 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