Concept explainers
a.
To find: the area A of the corrals as a function of x .
a.
Answer to Problem 73E
Explanation of Solution
Calculation:
Two adjacent rectangular corrals given below are enclosed by 200 feet of fencing.
The perimeter of the corrals is:
It is given that the corrals are enclosed by 200 feet of fencing which is equal to its perimeter. This gives that,
Now area of the corrals is,
Area = Length
Substitute
Conclusion The area A of the corrals as a function of x is
b.
To find: the dimensions that produce maximum enclosed area.
b.
Answer to Problem 73E
The dimensions that produce maximum enclosed area are
Explanation of Solution
Given:
The area A of the corrals as a function of x is
Concept Used:
For the function
When
When
Calculation:
Now compare the given function
Clearly
So by the above definition, f has a maximum at
So, the dimensions that produce maximum enclosed area is,
From part (a),
Conclusion:
The dimensions that produce maximum enclosed area are
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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