A tank has 150 liters of water in it at time t = 0 hours. 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 constant rate of 7 liters per hour. Water is being removed from the tank at a rate modeled by the function N (t) = 13(0.67)', where N (t) is measured in liters per hour. %3D What is the total amount of water that has been removed from the tank from time t = 0 to time t = 6? You may use a calculator and round to the nearest thousandth. Use proper units and show how you got your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A tank has 150 liters of water in it at timet = 0 hours. 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 constant rate of 7 liters per
hour.
Water is being removed from the tank at a rate modeled by the
function N (t) =
13(0.67), where N (t) is measured in liters per
hour.
What is the total amount of water that has been removed from the tank
from time t = 0 to time 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 150 liters of water in it at timet = 0 hours. 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 constant rate of 7 liters per hour. Water is being removed from the tank at a rate modeled by the function N (t) = 13(0.67), where N (t) is measured in liters per hour. What is the total amount of water that has been removed from the tank from time t = 0 to time 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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