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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
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  L= length of of sheet,

                                                                W= width of sheet,

                                                              w= width of the gutter,

                                                        And h= Height of the gutter,

The sheet of metal shown in fig.

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