You are constructing a water channel with flat-bottom and the 2 side walls angled up as shown. A 24 -inch wide trench (W
Posted: Wed Jul 13, 2022 5:05 am
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.
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.