Answer Happy

A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 5 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 = 0.025 (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank at time t minutes. dy (kg/min) y(0) = (kg) (c) Solve the initial value problem in part (b). y(t) (d) Find the amount of salt in the tank after 4 hours. amount = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = 0.021091115 (kg/L)
A curve passes through the point (0, 7) and has the property that the slope of the curve at every point P is three times the y-coordinate of P. What is the equation of the curve? y(x) =