SOLUTION: An open box is to be made from a flat square piece of material 14 inches in length and width by cutting equal squares of length x from the corners and folding up the sides. Writ

Algebra ->  Functions -> SOLUTION: An open box is to be made from a flat square piece of material 14 inches in length and width by cutting equal squares of length x from the corners and folding up the sides. Writ      Log On


   



Question 204403: An open box is to be made from a flat square piece of material 14 inches in length and width by cutting equal squares of length x from the corners and folding up the sides.
Write the volume V of the box as a function of x. Leave it as a product of factors; you do not have to multiply out the factors.
V =
If we write the domain of the box as an open interval in the form (a,b), then what is a?
a =
and what is b?
b =

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An open box is to be made from a flat square piece of material 14 inches in length and width by cutting equal squares of length x from the corners and folding up the sides.
Write the volume V of the box as a function of x. Leave it as a product of factors; you do not have to multiply out the factors.
V = x(14-2x)(14-2x)
If we write the domain of the box as an open interval in the form (a,b), then what is a?
a = 0
and what is b?
b = 7
----------------
Cheers,
Stan H.