The total amount of water added to the bathtub in litres will be modelled by the function f(t) = 21t, 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) = 3². The model for water draining changes once the tub is basically empty and the new model becomes the same as the water being added g(t) = 21t. How long does it take to get to the point when the rate of water being added equals the amount of water draining? ✓✓

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The total amount of water added to the bathtub in litres will be modelled by the function f(t) = 21t, 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) = 3². The model for water draining changes once the tub is basically empty and the new model
becomes the same as the water being added g(t) = 21t. How long does it take to get to the point when the rate of
water being added equals the amount of water draining?
✓ ✓
Transcribed Image Text:The total amount of water added to the bathtub in litres will be modelled by the function f(t) = 21t, 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) = 3². The model for water draining changes once the tub is basically empty and the new model becomes the same as the water being added g(t) = 21t. How long does it take to get to the point when the rate of water being added equals the amount of water draining? ✓ ✓
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