7. A 200-litre tank initially contains 100 litres of water with a salt concentration of 0.1 grams per litre. Water with a salt concentration of 1/3 grams per litre flows into the tank at a rate of 30 litres per minute, and the well-mixed solution is pumped out of the tank at a rate of 20 litres per minute. Let C(t) grams per litre be the concentration of salt in the tank at time t minutes. We can model C(t) with the differential equation, C'(t) = 10 - 20C(t) 10t + 100 Solve this differential equation for C(t).

7. A 200-litre tank initially contains 100 litres of water with a salt concentration of 0.1 grams per litre. Water with a salt concentration of 1/3 grams per litre flows into the tank at a rate of 30 litres per minute, and the well-mixed solution is pumped out of the tank at a rate of 20 litres per minute. Let C(t) grams per litre be the concentration of salt in the tank at time t minutes. We can model C(t) with the differential equation, C'(t) = 10 - 20C(t) 10t + 100 Solve this differential equation for C(t).

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Set up an I.V.P. and solve using the following: Suppose a large mixing tank initially holds 500 liters of pure water. A brine solution is pumped into the tank at a rate of 3 L/min with a concentration of 0.2 kilograms of salt per liter. If the well-stirred solution is pumped out at the same rate, find the number of kilograms of salt in the tank at time t, A(t).
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H9.
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