Use the Following Steps

question 65

Essay

Use the following steps.
A) Write an equation for the areas using integrals.
B) Differentiate the equation in A and solve the resulting linear equation.
Ans:
A) B)
-A pool contains 12 million gal of fresh water. Contaminated water flows into the pool at a rate of 4 million gal/year as the mixture in the pool flows out at the same rate.
The concentration of the chemical in the incoming contaminated water is g/gal, where t is in years.
Find the amount of the chemical in the pool at time .

• A) Write an equation for the areas using integrals.
• B) Differentiate the equation in A and solve the resulting linear equation.
• Ans:
• B) -A pool contains 12 million gal of fresh water. Contaminated water flows into the pool at a rate of 4 million gal/year as the mixture in the pool flows out at the same rate. The concentration of the chemical in the incoming contaminated water is g/gal, where t is in years. Find the amount of the chemical in the pool at time .