A tank contains 2020 L of pure water. A solution that contains 0.03 kg of sugar...
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A tank contains 2020 L of pure water. A solution that contains 0.03 kg of sugar per liter enters the tank at the rate 3 L/min. The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0) 0 kg (include units) = (b) With S representing the amount of sugar (in kg) at time t (in minutes) write a differential equation which models this situation. 3(0.03)-3(S/2020) S'=f(t, S) = Note: Make sure you use a capital S, (and don't use S(t), it confuses the computer). Don't enter units for this function. (c) Find the amount of sugar (in kg) after t minutes. S(t)= 60.6(1-e^(-1/336.6)) (d) Find the amount of the sugar after 42 minutes. S(42) 4.1057 kg (function of t) (include) Entered 0 kg 3*0.03-3*(S/2020) 60.6 (1-[e^(-1/336.6)D 4.1057 kg Answer Preview 0 kg S 2020 3-0.03-3- 60.6(1-) 4.1057 kg A tank contains 2020 L of pure water. A solution that contains 0.03 kg of sugar per liter enters the tank at the rate 3 L/min. The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0) 0 kg (include units) = (b) With S representing the amount of sugar (in kg) at time t (in minutes) write a differential equation which models this situation. 3(0.03)-3(S/2020) S'=f(t, S) = Note: Make sure you use a capital S, (and don't use S(t), it confuses the computer). Don't enter units for this function. (c) Find the amount of sugar (in kg) after t minutes. S(t)= 60.6(1-e^(-1/336.6)) (d) Find the amount of the sugar after 42 minutes. S(42) 4.1057 kg (function of t) (include) A tank contains 2020 L of pure water. A solution that contains 0.03 kg of sugar per liter enters the tank at the rate 3 L/min. The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0) 0 kg (include units) = (b) With S representing the amount of sugar (in kg) at time t (in minutes) write a differential equation which models this situation. 3(0.03)-3(S/2020) S'=f(t, S) = Note: Make sure you use a capital S, (and don't use S(t), it confuses the computer). Don't enter units for this function. (c) Find the amount of sugar (in kg) after t minutes. S(t)= 60.6(1-e^(-1/336.6)) (d) Find the amount of the sugar after 42 minutes. S(42) 4.1057 kg (function of t) (include) Entered 0 kg 3*0.03-3*(S/2020) 60.6 (1-[e^(-1/336.6)D 4.1057 kg Answer Preview 0 kg S 2020 3-0.03-3- 60.6(1-) 4.1057 kg Entered 0 kg 3*0.03-3*(S/2020) 60.6 (1-[e^(-1/336.6)D 4.1057 kg Answer Preview 0 kg S 2020 3-0.03-3- 60.6(1-) 4.1057 kg
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Let WW represent the amount of water in the tank and SS represent the amount of sugar in the tan... View the full answer
Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
Posted Date:
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