1. CONSTRUCTION A roofing contractor is fabricating gutters from 12-inch aluminum

sheeting. The contractor plans to use an aluminum siding folding press to create

the gutter by creasing equal lengths for the sidewalls (see figure).

(a) Let represent the height of

the sidewall of the gutter. Write a function that represents the cross-sectional

area of the gutter.

(b) The length of the aluminum

sheeting is 16 feet. Write a function that represents the volume of one run of

gutter in terms of

(c) Determine the domain of the

function in part (b).

(d) Use a graphing utility to

create a

1. CONSTRUCTION A roofing contractor is fabricating gutters from 12-inch aluminum

sheeting. The contractor plans to use an aluminum siding folding press to create

the gutter by creasing equal lengths for the sidewalls (see figure).

(a) Let represent the height of

the sidewall of the gutter. Write a function that represents the cross-sectional

area of the gutter.

(b) The length of the aluminum

sheeting is 16 feet. Write a function that represents the volume of one run of

gutter in terms of

(c) Determine the domain of the

function in part (b).

(d) Use a graphing utility to

create a table that shows sidewall heights and the corresponding volumes Use

the table to estimate the dimensions that will produce a maximum volume.

(e) Use a graphing utility to

graph Use the graph to estimate the value of for which is a maximum. Compare

your result with that of part (d).

(f) Would the value of change if

the aluminium sheeting were of different lengths? Explain.

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more