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kindly solve this [3] [a] A tank contains 100 litres of water with 2|] kilograms of salt dissolved in it. Brine l[Saltwater} with a concentration

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kindly solve this

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[3] [a] A tank contains 100 litres of water with 2|] kilograms of salt dissolved in it. Brine l[Saltwater} with a concentration a. kilograms ,3 litre is pumped into the tank at a rate of 5 litres f minute. where a. 1::- l] is a fixed number. The wellstirred mixture is pumped out at the rate of 5 litres fminute. Write dew-urn the differential equation for the amount y] {in kilograms] of salt at time t. {DDNUT solve the differential equation} [3] [b] Estimate the error with using Simpson's rule with n = 4, that is 54 to approx 5 1 imatef +1d.r. [Leave your answer in caICulatorready form.) 1

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