A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 4 liters per minute. The solution is mixed well and drained at 4 liters per minute. Let x be the amount of salt, in grams, in the fish tank after t minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dt, in terms of the amount of salt in the solution and the unknown concentration of incoming brine c. da dt ☐ grams/minute grams/minute help (formulas) Find a formula for the amount of salt, in grams, after t minutes have elapsed. Your answer should be in terms of c and t. x(t)=grams help (formulas) In 40 minutes there are 25 grams of salt in the fish tank. What is the concentration of salt in the incoming brine? C= =0g/L help (numbers)
A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 4 liters per minute. The solution is mixed well and drained at 4 liters per minute. Let x be the amount of salt, in grams, in the fish tank after t minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dt, in terms of the amount of salt in the solution and the unknown concentration of incoming brine c. da dt ☐ grams/minute grams/minute help (formulas) Find a formula for the amount of salt, in grams, after t minutes have elapsed. Your answer should be in terms of c and t. x(t)=grams help (formulas) In 40 minutes there are 25 grams of salt in the fish tank. What is the concentration of salt in the incoming brine? C= =0g/L help (numbers)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Transcribed Image Text:A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 4 liters per minute. The solution
is mixed well and drained at 4 liters per minute.
Let x be the amount of salt, in grams, in the fish tank after t minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dt,
in terms of the amount of salt in the solution and the unknown concentration of incoming brine c.
da
dt
☐ grams/minute
grams/minute help (formulas)
Find a formula for the amount of salt, in grams, after t minutes have elapsed. Your answer should be in terms of c and t.
x(t)=grams
help (formulas)
In 40 minutes there are 25 grams of salt in the fish tank. What is the concentration of salt in the incoming brine?
C=
=0g/L
help (numbers)
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