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2. a A 2000 liter tank contains 500 Liters of water with a salt concentration of 10 g/L Water with a salt concentration of 50 g/L is flowing into the tank at the rate of 80L/min. The fluid mixes right away and is pumped out at the rate of 40 L/min. Let y(t) represent the quantity of salt in the tank at time t. For example, before you pump salt water into the tank, the initial amount of salt is 10 g/L times 500 Liters = 5000 grams. This is your initial condition. 40y Explain why the rate at which the salt amount in the tank changes is = (4000- gr/min dt 500+40t, Hint: think about rate in - rate out to get the net rate.

2. a A 2000 liter tank contains 500 Liters of water with a salt concentration of 10 g/L Water with a salt concentration of 50 g/L is flowing into the tank at the rate of 80L/min. The fluid mixes right away and is pumped out at the rate of 40 L/min. Let y(t) represent the quantity of salt in the tank at time t. For example, before you pump salt water into the tank, the initial amount of salt is 10 g/L times 500 Liters = 5000 grams. This is your initial condition. 40y Explain why the rate at which the salt amount in the tank changes is = (4000- gr/min dt 500+40t, Hint: think about rate in - rate out to get the net rate.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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2. a A 2000 liter tank contains 500 Liters of water with a salt concentration of 10 g/L Water with a salt concentration of 50 g/L is flowing into the tank at the rate of 80L/min. The fluid mixes right away and is pumped out at the rate of 40 L/min. Let y(t) represent the quantity of salt in the tank at time t. For example, before you pump salt water into the tank, the initial amount of salt is 10 g/L times 500 Liters = 5000 grams. This is your initial condition. 40 Explain why the rate at which the salt amount in the tank changes is 4000 gr/min dt 500+40t, Hint: think about rate in - rate out to get the net rate. Solve for y(t) b. What is the salt concentration when the tank starts to overflow ? Use next page If you need more space to write. Write " see next page"
Transcribed Image Text:2. a A 2000 liter tank contains 500 Liters of water with a salt concentration of 10 g/L Water with a salt concentration of 50 g/L is flowing into the tank at the rate of 80L/min. The fluid mixes right away and is pumped out at the rate of 40 L/min. Let y(t) represent the quantity of salt in the tank at time t. For example, before you pump salt water into the tank, the initial amount of salt is 10 g/L times 500 Liters = 5000 grams. This is your initial condition. 40 Explain why the rate at which the salt amount in the tank changes is 4000 gr/min dt 500+40t, Hint: think about rate in - rate out to get the net rate. Solve for y(t) b. What is the salt concentration when the tank starts to overflow ? Use next page If you need more space to write. Write " see next page"
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