30. Water is being pumped into a tank at the rate of 950 liters/hour. Water is removed from the tank at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0≤t≤8. Selected values of R(t) are shown in the table below. Is there a time t when the rate at which the water is pumped into the tank is the same as the rate at which the water is removed from the tank? Justify. 0 1 3 6 t (hours) R(t) (liters/hour) 1340 8 1190 900 740 700

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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how do you solve this question without using derivatives or L’Hospital rule (if applicable)? thank you!
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30. Water is being pumped into a tank at the rate of 950 liters/hour. Water is removed from the
tank at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on
0≤t≤8. Selected values of R(t) are shown in the table below. Is there a time t when the rate at
which the water is pumped into the tank is the same as the rate at which the water is removed
from the tank? Justify.
0
1 3
6
(hours)
R(t)
(liters/hour)
1340
1190
900
8
740 700
Transcribed Image Text:old. 30. Water is being pumped into a tank at the rate of 950 liters/hour. Water is removed from the tank at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0≤t≤8. Selected values of R(t) are shown in the table below. Is there a time t when the rate at which the water is pumped into the tank is the same as the rate at which the water is removed from the tank? Justify. 0 1 3 6 (hours) R(t) (liters/hour) 1340 1190 900 8 740 700
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