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Problem 2: IV Medication A patient with an IV is given a medication at a rate given by the formula f(t) = 10(1 - e-0.5t) where t is the time in hours. At the same time, their kidneys process and remove the medication at a rate r(t) 0.4t (a) How much medication is present after 12 hours? Round the answer to 2 decimal places. (b) Determine lim f(t) and f(10). (c) Given your work on part (b), find the approximate time when the rate at which the medication enters the body is equal to the rate at which it is removed. (d) What is the maximum amount of the medication at any given time? (e) Find the approximate time when all the medication has been removed from the body. Round to the nearest integer