Water will be both added to and drained from a bathtub at the same time for 7 minutes. The total amount of water added to the bathtub in litres will be modelled by the function f(t) = 15t, where t is the time elapsed in minutes. The total amount of water drained from the bathtub in litres will be modelled by the function g(f) = 2f², where t is the time elapsed in minutes. How many litres of water will be in the bathtub after 4 minutes?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Water will be both added to and drained from a bathtub at the same time for 7 minutes. The total amount of water
added to the bathtub in litres will be modelled by the function f(t) = 15t, where t is the time elapsed in minutes. The
total amount of water drained from the bathtub in litres will be modelled by the function g(t) = 2f, where t is the
time elapsed in minutes. How many litres of water will be in the bathtub after 4 minutes?
Transcribed Image Text:5. Water will be both added to and drained from a bathtub at the same time for 7 minutes. The total amount of water added to the bathtub in litres will be modelled by the function f(t) = 15t, where t is the time elapsed in minutes. The total amount of water drained from the bathtub in litres will be modelled by the function g(t) = 2f, where t is the time elapsed in minutes. How many litres of water will be in the bathtub after 4 minutes?
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