MAT352 Project 3: Pardon the Interruption There are two models that can be used for this scenario: (1) two step approach and (2) Laplace Transform. You will use both of these models to determine the amount of salt in the tank. Water containing 0.5 kg of salt per liter (L) is poured at a rate of 2 L/min into a tank initially containing 100 L of pure water. The well-stirred mixture leaves at the same rate. After 10 minutes, the process is stopped and fresh water is poured into the tank at a rate of 2 L/min, with the new mixture leaving at 2 L/min. Your task is to determine the amount of salt in the tank at the end of 20 minutes. Model 1: Build a mathematical model for the amount of salt in the tank at time t in minutes using the techniques learned previously in this course. Note: this will require two parts - first over the time interval [0,10) minutes and then over the time interval (10,20) minutes. You can assume instantaneous mixing of the two different solutions. Model 2: Build a mathematical model for the amount of salt in the tank at time t in minutes using the Heaviside or Unit Step functions to represent the sudden change in input water types and apply Laplace Transforms and Inverse Laplace Transforms to determine the amount of salt in the tank over the entire interval [0,20) minutes