Assignment:
A certain smoker has a daily intake of 0.02 milligrams of nicotine. It is assumed that 1% of nicotine is disintegrated by the body per day.
(i) Set up a difference equation for the amount of nicotine Nt after t days, starting with an initial level of No = 0.
(ii) Derive a closed form of the solution for Nt.
(iii) If a concentration of 1mg of nicotine is considered harmful, when does the smoker reach this threshold? How much higher does the concentration rise?
Provide complete and step by step solution for the question and show calculations and use formulas.