Python program

3. Consider the following situation. Each morning, you top up your kettle to the one litre mark. You are not very attentive and you boil down the water in the kettle till just half a litre remains, doubling the concentration of impurities. You use 1/4 of a litre to make some tea and leave the remaining 1/4 in the kettle. The following morning, you top up the kettle with 3/4 of a litre leaving yesterday's remnants to be reused. We wish to know what the long term concentration of impurities will be. (a) If xn is the concentration of impurities of the water used to make tea on day n. Determine Inti in terms of Xn and Xo. (b) Determine the equilibrium and its stability. (c) Set Xo to 1 and simulate the first 20 days with a Python code. Give the values of Xi, i = 0, ..., 20. ... A A a