2) A 12 oz. mug of coffee contains 200 mg of caffeine. Caffeine is eliminated from the body

at a rate of dmas/dt = (-0.116 hr) meaf, where mear is the mass of caffeine in the body in

mg and t is in hours. After you chug a 12 oz. coffee, how long will it take for the caffeine

in your body to drop to 100 mg? You drink one mug at 6 am and another at 2 pm.

a) Plot the caffeine content of your body as a function of time for a 24 hour period.

b) What is the level of caffeine in your body at 11 pm? If you are having trouble

falling asleep at 11 pm, would it help to cut out the second coffee?