A fish tank initially contains 20 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 3 liters per minute. The solution is mixed well and drained at 3 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 x and the unknown concentration of incoming brine c. dx dt 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 20 minutes there are 25 grams of salt in the fish tank. What is the concentration of salt in the incoming brine? c = ☐ g/L help (numbers) Book: Section 1.4 of Notes on Diffy Qs
A fish tank initially contains 20 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 3 liters per minute. The solution is mixed well and drained at 3 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 x and the unknown concentration of incoming brine c. dx dt 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 20 minutes there are 25 grams of salt in the fish tank. What is the concentration of salt in the incoming brine? c = ☐ g/L help (numbers) Book: Section 1.4 of Notes on Diffy Qs
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:A fish tank initially contains 20 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 3 liters per minute. The solution is mixed well and drained
at 3 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 x and the unknown concentration of incoming brine c.
dx
dt
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 20 minutes there are 25 grams of salt in the fish tank. What is the concentration of salt in the incoming brine?
c = ☐ g/L help (numbers)
Book: Section 1.4 of Notes on Diffy Qs
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