(1 point) a tank contains 7070 kg of salt and 10001000 l of water. a solution of a concentration 0.0350.035 kg of salt per liter enters a tank at the rate 99 l/min. the solution is mixed and drains from the tank at the same rate. (a) what is the concentration of our solution in the tank initially? concentration = equation editorequation editor (kg/l) (b) set up an initial value problem for the quantity yy, in kg, of salt in the tank at time t minutes. dydt=dydt= equation editorequation editor (kg/min) y(0)=y(0)= equation editorequation editor (kg) (c) solve the initial value problem in part (b). y(t)=y(t)= equation editorequation editor (d) find the amount of salt in the tank after 3 hours. amount = equation editorequation editor (kg) (e) find the concentration of salt in the solution in the tank as time approaches infinity. concentration = equation editorequation editor (kg/l)
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