Concept explainers
a.
The labeled diagram of the triangle?
a.
Explanation of Solution
Given information:
The hypotenuse of the right angle triangle is
As per the given problem,
The diagram of the triangle is given below.
b.
The function representing the area of the function
b.
Answer to Problem 4E
The function representing the area of the function is
Explanation of Solution
Given:
The hypotenuse of the right angle triangle is
Concept Used:
The Pythagoras theorem for a right angle triangle is given by,
The formula of area of triangle is given by,
Calculation:
From Pythagoras theorem,
Substitute the values in the formula of area of triangle.
Conclusion:
The function representing the area of the function is
c.
The value of
c.
Answer to Problem 4E
The area is maximum at
Explanation of Solution
Given:
The area of triangle is maximum at
The given table is,
As per the given problem,
Substitute the values of
For
For
For
For
For
For
For
For
4.5 | 4.48 |
Conclusion:
From above table it is observed the function attain is maximum value at
b.
The maximum area of the triangle is at
b.
Answer to Problem 4E
The statement that the maximum area of triangle is at
Explanation of Solution
The graph is shown below
Conclusion:
It is clearly shown from the above graph that the area is maximum at
Chapter 12 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