LAST ATTEMPT! MARKING AS BRAINLIEST!! ( FIND THE SEVEN DIFFERENCES) :))
2 answers:
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Answer:
The area function is
.
The domain and range of A is and
.
Step-by-step explanation:
The given length of fencing is .
Let the length and width of each pen be and
respectively as shown in the figure.
As there are 3 pens, so, the total area,
From the figure the total length of fencing is .
Here, for a significant area for the animals, as well as
as
and
are the sides of ben.
From the given value:
Now, from equation (i)
This is the required area function in the terms of variable .
For the domain of area function, from equation (ii)
[as y>0]
So, the domain of area function is .
For the range of area function:
As or
, then
[from equation (i)]
Now, differentiate the area function with respect to .
Equate to zero to get the extremum point.
Check this point by double differentiation
As, , so, point
is corresponding to maxima.
Put this value back to equation (iii) to get the maximum value of area function. We have
Hence, the range of area function is .
