Constructing Rain Gutters A rain gutter is to be made ofaluminum sheets that are 12 inches wide by turning up theedges 90°. See the illustration.(a) What depth will provide maximum cross-sectional areaand hence allow the most water to flow?(b) What depths will allow at least 16 square inches of waterto flow?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Constructing Rain Gutters A rain gutter is to be made of
aluminum sheets that are 12 inches wide by turning up the
edges 90°. See the illustration.
(a) What depth will provide maximum cross-sectional area
and hence allow the most water to flow?
(b) What depths will allow at least 16 square inches of water
to flow?

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