3.1 - Modeling with linear equations worksheet

# 3.1 - Modeling with linear equations worksheet - reach L kg...

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Modeling with Linear Differential Equations - Chapter 3 Assume the rate of decay of a radioactive substance is proportional to the amount of the substance present. 1. If initially there are 50g of a radioactive substance and after 3 days there are only 10 grams remaining, what percentage of the original amount remains after 4 days? 2. Consider a large tank holding 1000L of pure water into which a brine solution of salt begins to flow at a constant rate of min / 6 L . The solution inside the tank is kept well stirred and is flowing out of the tank at a rate of 6L/min. If the concentration of salt in the brine entering the tank is L kg / 1 , determine when the concentration of salt in the tank will

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Unformatted text preview: reach L kg / 2 1 . 2b) Assume now that the brine leaves the tank at a rate of min / 5 L instead of min / 6 L , with all else being the same. Determine the concentration of salt as a function of time. 3. Blood carries a drug into an organ at a rate of sec / 3 3 cm and leaves at the same rate. The organ has a liquid volume of 125 3 cm . If the concentration of the drug in the blood entering the organ is 0.2 3 / cm g , what is the concentration of the drug in the organ when there was no trace of the drug initially? When will the concentration of the drug in the organ reach 3 / 1 . cm gm ?...
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3.1 - Modeling with linear equations worksheet - reach L kg...

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