Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic km/year. Suppose that the time t=O (years), its pollutar concentration is 0.06 %, and that thereafter the concentration of pollutants in the inflowing water is 0.01%. Assuming that the outflow is perfectly mixed lake water, find the initial-value problem and how long will it take to reduce the pollution concentration in the lake at 0.03 %?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Differential equation- solve with complete solution.Please write legibly
Lake Taal has a volume of 458 cubic
km, and its rate of inflow and outflow
are both 175 cubic km/year. Suppose
that the time t=O (years), its pollutant
concentration is 0.06 %, and that
thereafter the concentration of
pollutants in the inflowing water is
0.01 %. Assuming that the outflow is
perfectly mixed lake water, find the
initial-value problem and how long
will it take to reduce the pollution
concentration in the lake at 0.03 %? *
Transcribed Image Text:Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflow are both 175 cubic km/year. Suppose that the time t=O (years), its pollutant concentration is 0.06 %, and that thereafter the concentration of pollutants in the inflowing water is 0.01 %. Assuming that the outflow is perfectly mixed lake water, find the initial-value problem and how long will it take to reduce the pollution concentration in the lake at 0.03 %? *
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