A fish tank initially contains 10 liters of pure water. Brine of constant, but unknown, concentrati
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Question
A fish tank initially contains 10 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 2 liters per minute. The solution is mixed well and drained at 2 liters per minute.
a) 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 x and the unknown concentration of incoming brine c.
dx/dt=____________________grams/minute
b) 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
c) In 40 minutes there are 20 grams of salt in the fish tank. What is the concentration of salt in the incoming brine?
c=________________________g/L
Any help would be greatly appreciated.
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