QUESTION 6 Save Answer A tank contains 2000 L of water and 30 kg of magnesium. A solution with 0.05 kg of magnesium per liter of water enters the tank at rate of 15 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 20 L/min. Let y (1) represent the amount of magnesium in the tank at timer. a. Find an equation for dy di b. Find the equation for y (t) by solving your differential equation from part a. c. How much salt is in the tank after 20 minutes?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A tank contains 2000 L of water and 30 kg of magnesium. A solution with 0.05 kg of magnesium per liter of water enters the tank at rate of 15 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 20
L/min. Let y (1) represent the amount of magnesium in the tank at timer.
a. Find an equation for
dy
di
b. Find the equation for y (t) by solving your differential equation from part a.
c. How much salt is in the tank after 20 minutes?
Transcribed Image Text:QUESTION 6 Save Answer A tank contains 2000 L of water and 30 kg of magnesium. A solution with 0.05 kg of magnesium per liter of water enters the tank at rate of 15 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 20 L/min. Let y (1) represent the amount of magnesium in the tank at timer. a. Find an equation for dy di b. Find the equation for y (t) by solving your differential equation from part a. c. How much salt is in the tank after 20 minutes?
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