Consider a pond that initially contains 10 million gallons of fresh water. Water

Question

Consider a pond that initially contains 10 million gallons of fresh water. Water containing a chemical pollutant flows into the pond at the rate of 5 million gallons per year (gal/yr), and the mixture in the pond flows out at the same rate. The concentration c=c(t) of the chemical in the incoming water varies periodically with time to the expression c(t) = 2 + sin(2t) grams per gallon (g/gal).

Construct a mathematical model of this flow process and determine the amount of chemical in the pond at any time t. Then, plot the solution using Maple and describe in words the effect of the variation in the incoming chemical.

Explanation / Answer

Please,see this May be help you http://pages.pomona.edu/~ajr04747/Spring2010/Math36/ExamsFiles/Math36S10Exam2ReviewProblemsSolutions.pdf

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