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
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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how do you solve this question without using derivatives or L’Hospital rule (if applicable)? thank you!
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6dac1fe8-9484-432e-9121-04aedd30c8dd%2Fe8ef5670-9e16-47a7-8f5f-04b2109e51a7%2F4wc2tm_processed.jpeg&w=3840&q=75)
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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