4. Determine all the time periods when the rate at which the water is flowing is increasing.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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4. Determine all the time periods when the rate at which the water is flowing is
increasing.
5. Determine all the time periods when the rate at which the water is flowing is
decreasing.
6. Construct a graph of the rate of flow of the river for the fourteen-day period.
7. Your group's client is considering building a small hydroelectric plant near the
mouth of the river. For the project to be feasible, the plant needs to be able
to operate at full capacity at least 70% of the time and at reduced capacity at
least another 15% of the time.
To operate at full capacity, a flow rate of at least 200 million gallons per day
is required. However, if the flow rate rises above 400 million gallons per day,
the equipment is stressed, and the plant must close down.
If the flow rate is too small for full capacity operation, the plant can still
operate at reduced capacity as long as the flow rate remains above 125 million
gallons per day.
Although a statistical analysis is what is needed for a final decision on the
plant, what can you tell your client about the two-week observation period
that would be relevant to the hydroelectric project?
Transcribed Image Text:4. Determine all the time periods when the rate at which the water is flowing is increasing. 5. Determine all the time periods when the rate at which the water is flowing is decreasing. 6. Construct a graph of the rate of flow of the river for the fourteen-day period. 7. Your group's client is considering building a small hydroelectric plant near the mouth of the river. For the project to be feasible, the plant needs to be able to operate at full capacity at least 70% of the time and at reduced capacity at least another 15% of the time. To operate at full capacity, a flow rate of at least 200 million gallons per day is required. However, if the flow rate rises above 400 million gallons per day, the equipment is stressed, and the plant must close down. If the flow rate is too small for full capacity operation, the plant can still operate at reduced capacity as long as the flow rate remains above 125 million gallons per day. Although a statistical analysis is what is needed for a final decision on the plant, what can you tell your client about the two-week observation period that would be relevant to the hydroelectric project?
Tidal flows
You are a team of consulting engineers studying the flow of water from a certain
river into a large lake. You have data in the form of a graph detailing the amount of
water that has flowed into the lake from the river over a fourteen-day period. The
graph is given in Figure 1.
p100 million gallons)
40
30
20
10
time
(days)
Figure 1
Your job is to report several results to your client as follows:
Transcribed Image Text:Tidal flows You are a team of consulting engineers studying the flow of water from a certain river into a large lake. You have data in the form of a graph detailing the amount of water that has flowed into the lake from the river over a fourteen-day period. The graph is given in Figure 1. p100 million gallons) 40 30 20 10 time (days) Figure 1 Your job is to report several results to your client as follows:
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