An open gutter is to be manufactured from sheet metal that is L mlength and Wm wide (LxW). If the gutter is to have as large a cross sectional area as possible. Find its dimensions (h and w) and work out the cross sectional area and work out the largest volume (water can occupy), where L and Ware constants. h
An open gutter is to be manufactured from sheet metal that is L mlength and Wm wide (LxW). If the gutter is to have as large a cross sectional area as possible. Find its dimensions (h and w) and work out the cross sectional area and work out the largest volume (water can occupy), where L and Ware constants. h
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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Transcribed Image Text:An open gutter is to be manufactured from sheet metal that is L m length and Wm wide (Lx W).
If the gutter is to have as large a cross sectional area as possible.
Find its dimensions (h and w) and work out the cross sectional area and work out the largest
volume (water can occupy), where L and Ware constants.
h
W
Expert Solution

Step 1
Given that, The dimension of sheet are = length of of sheet,
= width of sheet,
= width of the gutter,
And = Height of the gutter,
The sheet of metal shown in fig.
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