Let T be the amount of pollutant present in a contaminated lake, which is cleaned by...

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Let T be the amount of pollutant present in a contaminated lake, which is cleaned by filtering out a certain fraction a of all pollutants present at that time, but another 3 tons of pollutants seep in (0 < a < 1,3 > 0). (i) Formulate a mathematical model, assuming To tons of pollutants are initially present in the lake. (ii) If each week 10% of all pollutants present can be removed, but another 2 tons seep in, find the values of a and 3 and write the discrete equation for this process. (iii) How many tons of pollutants will be there in the lake after 2 years, if initially it is contaminated with 70 tons of pollutants? (iv) How long will it take before the pollutant level falls below 20 tons? Let T be the amount of pollutant present in a contaminated lake, which is cleaned by filtering out a certain fraction a of all pollutants present at that time, but another 3 tons of pollutants seep in (0 < a < 1,3 > 0). (i) Formulate a mathematical model, assuming To tons of pollutants are initially present in the lake. (ii) If each week 10% of all pollutants present can be removed, but another 2 tons seep in, find the values of a and 3 and write the discrete equation for this process. (iii) How many tons of pollutants will be there in the lake after 2 years, if initially it is contaminated with 70 tons of pollutants? (iv) How long will it take before the pollutant level falls below 20 tons?

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