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Water flows into and out of a storage tank. A graph of the rate of change, r(t), of the volume of water in the tank (in liters per day) is shown below. 2000 1000 0 -1000 1 2 3 4 t

Water flows into and out of a storage tank. A graph of the rate of change, r(t), of the volume of water in the tank (in liters per day) is shown below. 2000 1000 0 -1000 1 2 3 4 t

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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Water flows into and out of a storage tank. A graph of the rate of change, r(t), of the volume of water in the tank (in liters per day) is shown below. r 2000 1000 -1000 1 2 3 4 t (a) Use M₁ (the midpoint approximation with 4 rectangles) to estimate the change in the volume of the water in the tank between t = 0 and t = 4. Estimate values of r(t) using the provided graph. (b) Suppose the amount of water in the tank at time t = 0 is 5,000 liters. About how much water is in the tank 4 days later?
Transcribed Image Text:Water flows into and out of a storage tank. A graph of the rate of change, r(t), of the volume of water in the tank (in liters per day) is shown below. r 2000 1000 -1000 1 2 3 4 t (a) Use M₁ (the midpoint approximation with 4 rectangles) to estimate the change in the volume of the water in the tank between t = 0 and t = 4. Estimate values of r(t) using the provided graph. (b) Suppose the amount of water in the tank at time t = 0 is 5,000 liters. About how much water is in the tank 4 days later?
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