A large tank is filled to capacity with 300 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at the same rate. Find the number A(t) of pounds of salt in the tank at time t. A(t) = lb

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A large tank is filled to capacity with 300 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at the same rate. Find the number A(t) of pounds of salt in the tank at time t.
A(t) =
lb
Transcribed Image Text:A large tank is filled to capacity with 300 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at the same rate. Find the number A(t) of pounds of salt in the tank at time t. A(t) = lb
A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1 henry and the resistance is 80 ohms. Find the current i(t) if i(0) = 0.
i(t) =
Determine the current as t→00.
lim i(t) =
1-00
Transcribed Image Text:A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1 henry and the resistance is 80 ohms. Find the current i(t) if i(0) = 0. i(t) = Determine the current as t→00. lim i(t) = 1-00
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