Posted by **Andy G** on Tuesday, January 14, 2014 at 9:18pm.

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

a. give restrictions on x.

b. determine a function of A that gives the area of a cross section of the gutter.

c. for what values of x will A be a max (and thus maximize the amount of water that gutter will hold?

d. what is max area?

e. for what values of x will the area of a cross section be less than 40 square in?

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