Question 262904: Pseudoephedrine hydrochloride is an allergy medication. The polynomial L(t) = 0.03t^4 + 0.4t^3 – 7.3t^2 + 23.1t, where 0 <= t <= 5, models the level of pseudoephedrine hydrochloride, in milligrams, in the bloodstream of a patient t hours after 30 milligrams of the medicine have been taken.
At what times, to the nearest minute, does the level of pseudoephedrine hydrochloride in the bloodstream reach 12 milligrams?
Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! If we look at the function L(x), wee see it is a quartic function. This means that THe end behavior is
+ and - infinity. More specifically it is increasing and decreasing between 0 <= t < =5. If we are taking a medication, we would expect its potency and level of mg to be a maximum at t = 0 and decrease over time.
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It seems to me that the equation would have to be changed to match that.
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