SOLUTION: The function below can be used to model the area of a rectangle in square inches, A, if the rectangle has a perimeter of 72 inches and a width of W inches. A= 36w- w^2 pleas

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Question 981170: The function below can be used to model the area of a rectangle in square inches, A, if the
rectangle has a perimeter of 72 inches and a width of W inches.
A= 36w- w^2
please describe the domain of the function:
0 < N < ?what number

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Two things to deal with:
and .

Also knowing that w is width, you can find length information.
.
This means, . Only positive values for L and w are allowed, so this means at least, that .

The roots for area are 0 and 36; and A is a parabola which has a maximum and opens downward.


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