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Problem 4. Webster City monitors the height of the water in its cylindrical water tank with an automatic recording device. Water is constantly pumped into the tank at a rate of 2400 ft³ per hour, as shown in figure 1. During a certain 12-hour period (beginning at midnight), the water level rose and fell according to the graph in figure 2. If the radius of the tank is 20 feet, at what rate was the water being used at 7:00 A.M.? 2400 f 2400- 4h(feet) (hours)

Problem 4. Webster City monitors the height of the water in its cylindrical water tank with an automatic recording device. Water is constantly pumped into the tank at a rate of 2400 ft³ per hour, as shown in figure 1. During a certain 12-hour period (beginning at midnight), the water level rose and fell according to the graph in figure 2. If the radius of the tank is 20 feet, at what rate was the water being used at 7:00 A.M.? 2400 f 2400- 4h(feet) (hours)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 4. Webster City monitors the height of the water in its cylindrical water tank with an automatic recording device. Water is constantly pumped into the tank at a rate of 2400 ft³ per hour, as shown in figure 1. During a certain 12-hour period (beginning at midnight), the water level rose and fell according to the graph in figure 2. If the radius of the tank is 20 feet, at what rate was the water being used at 7:00 A.M.? 2400 f | 2400- Figure 1 4 h(feet) 15 12 Figure 2 10 11 12 hours)
Transcribed Image Text:Problem 4. Webster City monitors the height of the water in its cylindrical water tank with an automatic recording device. Water is constantly pumped into the tank at a rate of 2400 ft³ per hour, as shown in figure 1. During a certain 12-hour period (beginning at midnight), the water level rose and fell according to the graph in figure 2. If the radius of the tank is 20 feet, at what rate was the water being used at 7:00 A.M.? 2400 f | 2400- Figure 1 4 h(feet) 15 12 Figure 2 10 11 12 hours)
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