SOLUTION: A rectangular gutter open at the top is to be made from a galvanized steel that is 36 inches wide by turning the sides up. Express the area of the cross section as a finction of t

Question 1058652: A rectangular gutter open at the top is to be made from a galvanized steel that is 36 inches wide by turning the sides up. Express the area of the cross section as a finction of the height, h, of the gutter, and find the domain
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rectangular gutter open at the top is to be made from a galvanized steel that is 36 inches wide by turning the sides up.
Express the area of the cross section as a function of the height, h, of the gutter, and find the domain
:
looks like this
h|__|h
:
Width = (36-2h)
:
Area = height * width
f(h) = h(36-2h)
f(h) = 36h - 2h^2
Find the h when
36h - 2h^2 = 0
divide both sides by 2h
18 - h = 0
h = 18, therefore h < 18
:
Domain: >0 and < 18
RELATED QUESTIONS
An open rectangular gutter is made by turning up the sides of a piece of metal 20 in.... (answered by ankor@dixie-net.com)

Please help... An open rectangular gutter is made by turning up the sides of a piece... (answered by checkley77)

An open rectangular gutter is made by turning up the sides of a piece of metal 20 in.... (answered by edjones)

An open rectangular gutter is made by turning up the sides of a piece of metal 20in.... (answered by Earlsdon)

A rain gutter is to be made of aluminum sheets that are 36 inches wide by turning up the... (answered by greenestamps)

I have one more problem that is stumping me. It reads: An open rectangular gutter is... (answered by Earlsdon)

A rectangular sheet of aluminum 300 inches long and 12 inches wide is to be made into a... (answered by ankor@dixie-net.com)

A long rectangular sheet of metal 10 in. wide is to be made into a gutter by turning up... (answered by ankor@dixie-net.com)

A rain gutter is made from sheets of aluminum that are 12 inches wide by turning up... (answered by stanbon)