Share 150 pounds in the ratio 4:1
1 answer:
You might be interested in
Answer:
====================================================
Work Shown:
Explanation:
I replaced each copy of x with x+h. Then I used the FOIL rule to expand things out and combine like terms. The distributive property or the box method are two other pathways you can take.
The Solution:
Given:
Required:
To write the given equation in the form below:
Clearly, the given equation is already in the required form.
The parameters are:
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 .
