(a)
To find: The diagram for the visual representation of the problem.
(a)
Explanation of Solution
Given:
The length of the rectangle is
Calculation:
It is given that the length of the rectangle is
The diagram for the visual representation is shown in Figure 1
Figure 1
Here,
(b)
To find: The radius of each of the semi-circle at the end of the room.
(b)
Answer to Problem 82E
The radius of each end of the semi-circle is
Explanation of Solution
Given:
The length of the rectangle is
Calculation:
Consider the radius of the semi-circle is,
The sum of the perimeter of the two semi-circle is the perimeter of the complete circle as,
Consider the perimeter of the complete region is,
Then, the radius of the semi-circle at each end of the room is,
(c)
To find: The distance travelled around the track in one lap.
(c)
Answer to Problem 82E
The distance travelled around the track in one lap is
Explanation of Solution
Given:
The length of the rectangle is
Calculation:
Consider the distance travelled around the track in one lap is,
(d)
To find: The expression for the area of the rectangular region as a function of
(d)
Answer to Problem 82E
The expression for the area is
Explanation of Solution
Given:
The length of the rectangle is
Calculation:
Consider the expression for the area of the rectangular region is,
Then,
The leading coefficient of the above equation is negative, thus the maximum area of the triangle is,
Then, the maximum possible area is,
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