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Concept explainers
(a)
To write:a function
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 51AYU
The required function is
Explanation of Solution
Given:
Area= 1000 square feet.
Fencing for the sideparallel to the river is $5 per linear foot
Fencing for theother two sides is $8 per linear foot
The four corner postsare $25 apiece.
Calculation:
Consider the function with concentration of a drug at different point of time.
Find the function from the information.
Let the side parallel to the river be
Now as the area is
So now
Now replacing
Conclusion:
Therefore, the required function is
(b)
To find:the domain of
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 51AYU
The domain is:
Explanation of Solution
Calculation:
The function on all real numbers except zero, that is the function is defined on all real numbers except
Then the domain of the function is
The domain is:
Conclusion:
The domain is:
(c)
To graph:
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 51AYU
Explanation of Solution
Calculation:
Conclusion:
Thus, the required graph is drawn.
(d)
To find:the dimensions of the cheapest enclosure.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 51AYU
The dimension of the cheapest enclosure is 17.7 ft. to 56.6 ft. long side is parallel to river.
Explanation of Solution
Calculation:
It can be clearly seen from the graph that the dimension of the cheapest enclosure is 17.7 ft. to 56.6 ft. long side is parallel to river.
Conclusion:
Therefore, the dimension of the cheapest enclosure is 17.7 ft. to 56.6 ft. long side is parallel to river.
Chapter 4 Solutions
Precalculus
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