Concept explainers
a.
Verify the geometry of the statement.
a.
Answer to Problem 86E
The rectangle is drawn.
Explanation of Solution
Given information:
A soccer playing field of length
Calculation:
The a visual representation of the rectangle.
Hence the rectangle is drawn.
b.
Verify the geometry of the statement.
b.
Answer to Problem 86E
The area and length of rectangle is verified.
Explanation of Solution
Given information:
A soccer playing field of length
Calculation:
The perimeter of the rectangle is given as
Perimeter=
Subtract
Now verify the area,
Thus length of the rectangle is
The area of the rectangle is
Hence area and length of rectangle is verified.
c.
Verify the geometry of the statement.
c.
Answer to Problem 86E
The graph of area is verified.
Explanation of Solution
Given information:
A soccer playing field of length
Calculation:
Consider the expression
To graph the equation use graphic utility
Now press button
Press Window button and set parameters,
Press GRAPH button,
Hence the graph of area is verified.
d.
Verify the geometry of the statement.
d.
Answer to Problem 86E
Explanation of Solution
Given information:
A soccer playing field of length
From the graph in part
Calculation:
To graph the equation use graphic utility
Now press button
Select option
Now select left and right bound where area is maximum.
Thus area is maximum when
Hence the dimensions of rectangle
e.
Verify the geometry of the statement.
e.
Answer to Problem 86E
Explanation of Solution
Given information:
A soccer playing field of length
Use your school’s library, the Internet, or some other reference source to find the actual dimensions and area of a regulation Major League Soccer field and compare your findings with the results of part
Calculation:
To graph the equation use graphic utility
Now press button
Select option
Now select left and right bound where area is maximum.
Thus area is maximum when
The length of the Major League Soccer field is
Width is
Area of Major League Soccer field is
Hence
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