You are constructing a water channel with flat-bottom and the 2 side walls angled up as shown. A 24 -inch wide trench (W

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You Are Constructing A Water Channel With Flat Bottom And The 2 Side Walls Angled Up As Shown A 24 Inch Wide Trench W 1 (319.44 KiB) Viewed 23 times

This relates to partial derivatives in Cal 3. Please help.
You are constructing a water channel with flat-bottom and the 2 side walls angled up as shown. A 24 -inch wide trench (W=24) is dug out and the walls are then constructed. See the diagram for the details of the channel geometry. One way of imagining the construction is to take a piece of paper and then bend up 2 equal-length x of the ends through the same angle θ to form the channel. Determine the length x and the bend angle θ to give the maximum cross sectional area for the channel to obtain the largest water flow.