1 First we will build a model for the total amount of drugs

Last updated: 4/30/2023

1 First we will build a model for the total amount of drugs in the gut At time t 0 10mg of the drug is present in the gut From the gut it passes slowly into the blood The passage of the drug to the blood has first order kinetics that is every hour 42 of the drug remaining in the gut is passed from the gut into the blood No more pills are taken so no extra drug is added to the gut Let at be the sequence representing the amount of Adderall XR in the patient s gut t hours after the pill was taken Write down a recursion relation for at 2 Find an explicit formula for at 3 Calculate the time at which the amount of drug remaining in the gut drops to 1 of its starting value that is find t for which 0 01g