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1. A long piece of galvanized sheet metal with width w is to be bent into a symmetric form with three straight sides to make a rain gutter. A cross-section is shown in the figure. (a) Determine the dimensions that allow the maximum possible flow; that is, find the dimen- sions that give the maximum possible cross-sectional area. (b) Would it be better to bend the metal into a gutter with a semicircular cross-section? w- 2x

1. A long piece of galvanized sheet metal with width w is to be bent into a symmetric form with three straight sides to make a rain gutter. A cross-section is shown in the figure. (a) Determine the dimensions that allow the maximum possible flow; that is, find the dimen- sions that give the maximum possible cross-sectional area. (b) Would it be better to bend the metal into a gutter with a semicircular cross-section? w- 2x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. A long piece of galvanized sheet metal with width w is to be bent into a symmetric form with three straight sides to make a rain gutter. A cross-section is shown in the figure. (a) Determine the dimensions that allow the maximum possible flow; that is, find the dimen- sions that give the maximum possible cross-sectional area. (b) Would it be better to bend the metal into a gutter with a semicircular cross-section? w- 2x
Transcribed Image Text:1. A long piece of galvanized sheet metal with width w is to be bent into a symmetric form with three straight sides to make a rain gutter. A cross-section is shown in the figure. (a) Determine the dimensions that allow the maximum possible flow; that is, find the dimen- sions that give the maximum possible cross-sectional area. (b) Would it be better to bend the metal into a gutter with a semicircular cross-section? w- 2x
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