0 hours. Water begins to be pumped A tank has 15o liters of water in it at time t into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0. Water is being removed from the tank at a rate modeled by the function P(t) = -10(0.87)' + 11, where P(t) is measured in liters per hour. The total amount of water, in liters, that has been pumped into the tank t hours after the pump was turned on can be modeled by the function M (t) = 10(1.21)'- 10. What is the total amount of water in the tank at time t 11? You may use a %3D calculator and round to the nearest thousandth. Use proper units and show how you got your answer.
0 hours. Water begins to be pumped A tank has 15o liters of water in it at time t into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0. Water is being removed from the tank at a rate modeled by the function P(t) = -10(0.87)' + 11, where P(t) is measured in liters per hour. The total amount of water, in liters, that has been pumped into the tank t hours after the pump was turned on can be modeled by the function M (t) = 10(1.21)'- 10. What is the total amount of water in the tank at time t 11? You may use a %3D calculator and round to the nearest thousandth. Use proper units and show how you got your answer.
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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Question
Transcribed Image Text:0 hours. Water begins to be pumped
0. A different pipe is draining water from the tank starting
A tank has 15o liters of water in it at time t
into the tank at time t
at t = 0.
Water is being removed from the tank at a rate modeled by the function
P(t) = -10(0.87)' + 11, where P(t) is measured in liters per hour.
The total amount of water, in liters, that has been pumped into the tank t hours after
the pump was turned on can be modeled by the function M(t) = 10(1.21) – 10.
What is the total amount of water in the tank at time t =11? You may use a
calculator and round to the nearest thousandth. Use proper units and show how you
got your answer.
Answer: select proper setup work
attempt 1 out of 2
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Transcribed Image Text:select proper setup work -
M(11
A tank has
ime t
into the tai P(11)
t pipe is d
at t = 0. S M(t) dt
S P(t) dt
М(11) - Р(11)
P(11) - M(11)
M(11) - S P(t) dt
P(11) - S M(t) dt
The total aJ M(t) dt-P(11)
S P(t) dt-M(11)
S(M(t)-P(t))dt
S(P(t)-M(t))dt
What is th 150+M(11)
calculator 150+P(11)
Water is be
at a rate m
P(t) =
(t) is meas
hat has been
the pump
led by the fu
he tank at tir
ousandth. U
got your ar 150+J M(t) dt
150+S P(t) dt
150+M(11) - P(11)
| 150+P(11) – M(11)
150+M(11) - S P(t) dt
Answer: select proper setup work
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