A tank contains 420 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t. dA dt Find the number A(t) of grams of salt in the tank at time t. A(t) = 9

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 9E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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A tank contains 420 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same
rate. Let the A(t) be the number of grams of salt in the tank at time t.
Find the rate at which the number of grams of salt in the tank is changing at time t.
dA
dt
=
Find the number A(t) of grams of salt in the tank at time t.
A(t) =
9
Transcribed Image Text:A tank contains 420 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t. dA dt = Find the number A(t) of grams of salt in the tank at time t. A(t) = 9
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