Over the time interval 0 ≤ t ≤ 15, (t is in hours) water is being pumped into a tank at a constant rate of 10 thousand gallons per hour and water is being consumed (removed from the tank) at a rate of R(t)=- where R(t) is in thousands of gallons per hour also. The tank had 20 thousand gallons of water at t = 0. 2√5 +4 e0.4t a. How many gallons of water are consumed over the 15 hour time interval? Use proper notation. Ret) dt = /151.671 thousands of gall? b. Is the amount of water in the tank increasing or decreasing at t = 6. Justify your answer. +R(E) 5 15.141 616-003 7115.769 R(t) @t-6 TS 16.003 that Thc c. Write an equation for A(t) that give the amount of water in the tank at any time t. Use proper notation. d. Find the absolute maximum and absolute minimum amount of water in the tank over the 15 hour time interval. Justify your answer.
Over the time interval 0 ≤ t ≤ 15, (t is in hours) water is being pumped into a tank at a constant rate of 10 thousand gallons per hour and water is being consumed (removed from the tank) at a rate of R(t)=- where R(t) is in thousands of gallons per hour also. The tank had 20 thousand gallons of water at t = 0. 2√5 +4 e0.4t a. How many gallons of water are consumed over the 15 hour time interval? Use proper notation. Ret) dt = /151.671 thousands of gall? b. Is the amount of water in the tank increasing or decreasing at t = 6. Justify your answer. +R(E) 5 15.141 616-003 7115.769 R(t) @t-6 TS 16.003 that Thc c. Write an equation for A(t) that give the amount of water in the tank at any time t. Use proper notation. d. Find the absolute maximum and absolute minimum amount of water in the tank over the 15 hour time interval. Justify 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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Transcribed Image Text:4. Over the time interval 0 ≤ t ≤ 15, (t is in hours) water is being pumped into a tank at a
constant rate of 10 thousand gallons per hour and water is being consumed (removed
from the tank) at a rate of R(t)=
where R(t) is in thousands of gallons per hour
also. The tank had 20 thousand gallons of water att = 0.
2√15+4
e0.4t
a. How many gallons of water are consumed over the 15 hour time interval? Use
proper notation.
'{p
Rct) dt = 151.671 thousands of gall ²
b. Is the amount of water in the tank increasing or decreasing at t = 6. Justify your
answer.
+R(t)
s 15.141
616-003
7115.769
R(t) @t-6 TS 16.003 that
c. Write an equation for A(t) that give the amount of water in the tank at any time t.
Use proper notation.
d. Find the absolute maximum and absolute minimum amount of water in the tank
over the 15 hour time interval. Justify your answer.
The leas
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