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At time t = 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the rate of S(t) = 2e²+ 2 pounds per hour. Sand from the tank is used at a rate of R(t)=5 sint + 3√t pounds per hour. The tank can hold a maximum of 200 pounds of sand. Find the average rate at which sand is used on the interval 0 St 54. Indicate units of measure.

At time t = 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the rate of S(t) = 2e²+ 2 pounds per hour. Sand from the tank is used at a rate of R(t)=5 sint + 3√t pounds per hour. The tank can hold a maximum of 200 pounds of sand. Find the average rate at which sand is used on the interval 0 St 54. Indicate units of measure.

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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At time t = 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the rate of S(t) = 2e + 2 pounds per hour. Sand from the tank is used at a rate of R(t) = 5 sint + 3√t pounds per hour. The tank can hold a maximum of 200 pounds of sand. Find the average rate at which sand is used on the interval 0 St≤ 4. Indicate units of measure.
Transcribed Image Text:At time t = 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the rate of S(t) = 2e + 2 pounds per hour. Sand from the tank is used at a rate of R(t) = 5 sint + 3√t pounds per hour. The tank can hold a maximum of 200 pounds of sand. Find the average rate at which sand is used on the interval 0 St≤ 4. Indicate units of measure.
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