Posted by **Anonymous** on Monday, October 24, 2011 at 11:00pm.

a piece of rectangular sheet metal is 20 in. wide. It is made into a rain gutter by turning up the edges to form parallel sides. Let x represent the length of each of the parallel side.

(a)give the restrictions on x

(b)determine a fuction A that gives the area of a cross section of the gutter.

(c) For what value of x will A be a maximum (and thus minimize the amount of water that the gutter will hold)? what is this maximum area?

(d) for what values of x will the area of a cross section be less than 10 in.^2?

## Answer this Question

## Related Questions

- pre-calc - construction of a rain gutter: a piece of rectangular sheet metal is ...
- Pre-Calc) - a piece of rectangular sheet metal is 20 in wide. It's to be made ...
- calculus - A long rectangular sheet of metal, 12 inches wide, is to be made into...
- Calculus - A long rectangle sheet of metal, 15 inches wide is to be made into a ...
- Algebra 2 - A rain gutter is made by bending up the edges of a piece of metal of...
- math - You are designing a rain gutter made from a piece of sheet metal that is...
- Math Wrod Problem - 1. A long strip of copper 8 inches wide is to be made into a...
- Algebra - A box is to be formed from a rectangular piece of sheet metal by ...
- math problem - A simple rain gutter is constructed using a sheet of aluminum ...
- mathematics - Please help me answer this question; 1.A metal gutter open at the ...

More Related Questions