A tank has 25 liters of water in it at time t = 0 minutes. Water begins to be pumped into the tank at timet = 0. A different pipe is draining water from the tank starting at t = 0. Water is being pumped into a tank at a rate modeled by the function Q(t) = 6(1.17)', where Q(t) is measured in liters per minute. Water is being removed from the tank at rate modeled by the function Z(t) = 4(1.28)*, where Z(t) is measured in liters per minute. What is the maximum amount of water ir the tank from t 0 to t = 6? You may use a calculator and round to the nearest thousandth. Use proper units and show how you gọt your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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ROUND TO THE NEAREST THOUSANDTHS PLEASE
A tank has 25 liters of water in it at time
t = 0 minutes. Water begins to be
pumped into the tank at time t = 0. A
different pipe is draining water from the
tank starting at t = 0.
Water is being pumped into a tank at a
rate modeled by the function
Q(t) = 6(1.17)*, where Q(t) is
measured in liters
per
minute.
Water is being removed from the tank at a
rate modeled by the function
Z(t) = 4(1.28)*, where Z(t) is
measured in liters per minute.
What is the maximum amount of water in
the tank from t
0 to t = 6? You may
use a calculator and round to the nearest
thousandth. Use proper units and show
how you got your answer.
Transcribed Image Text:A tank has 25 liters of water in it at time t = 0 minutes. Water begins to be pumped into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0. Water is being pumped into a tank at a rate modeled by the function Q(t) = 6(1.17)*, where Q(t) is measured in liters per minute. Water is being removed from the tank at a rate modeled by the function Z(t) = 4(1.28)*, where Z(t) is measured in liters per minute. What is the maximum amount of water in the tank from t 0 to t = 6? You may use a calculator and round to the nearest thousandth. Use proper units and show how you got your answer.
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