2. The half-life of caffeine in the human body is approximately ve hours. Suppose you drink an 802 can of Red Bull (which contains 68mg of caffeine) every morning at 9am. (a) Determine what proportion of caffeine is still in your body after 24 hours. Round to three decimal places and use this rounded value for the remainder of the question. (b) Denote by CH the quantity (in milligrams) of caffeine remaining in your body immedi- ately before 9am on the day you will be drinking your nth can. Determine how much caffeine will be in your body just before drinking your rst can, Cl, as well as 02 and 03. (c) Find a formula for Cu\" in term of C\". (d) Find the amount of caffeine remaining in your body in the long run. Round your answer to two decimal places