A rain gutter for a house will be made from sheets of metal that are 19.65 inches wide by folding up the metal at 90 degree angles. See Diagram. Flat Sheet Metal: } > Total width of sheet metal Folded into a Gutter: } What depth x of the gutter will provide for a Maximum Cross- Sectional Area allowing the greatest amount of water to flow through and out the gutter? First, give an equation for the Cross-Sectional Area as a function of . A = Now, graph the function to find value of x that gives Maximal Area. Give at least 3 decimal places.

A rain gutter for a house will be made from sheets of metal that are 19.65 inches wide by folding up the metal at 90 degree angles. See Diagram. Flat Sheet Metal: } > Total width of sheet metal Folded into a Gutter: } What depth x of the gutter will provide for a Maximum Cross- Sectional Area allowing the greatest amount of water to flow through and out the gutter? First, give an equation for the Cross-Sectional Area as a function of . A = Now, graph the function to find value of x that gives Maximal Area. Give at least 3 decimal places.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A rain gutter for a house will be made from sheets of metal
that are 19.65 inches wide by folding up the metal at 90
degree angles. See Diagram.
Flat Sheet Metal:
Total width of sheet metal
Folded into a Gutter:
}.
What depth x of the gutter will provide for a Maximum Cross-
Sectional Area allowing the greatest amount of water to flow
through and out the gutter?
First, give an equation for the Cross-Sectional Area as a
function of x.
A
Now, graph the function to find value of x that gives Maximal
Area. Give at least 3 decimal places.
If x =
inches, this provides
a Maximal Area
square
inches, which will allow the maximum amount of water to
flow through the gutter.

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