Oral antibiotics In Example 1.3.7 we studied a model for antibiotic use in sinus

Chapter 3, Problem 56

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Oral antibiotics In Example 1.3.7 we studied a model for antibiotic use in sinus infections. If x is the amount of antibiotic taken orally (in mg), then the function hsxd gives the amount entering the bloodstream through the stomach. If x mg reaches the bloodstream, then tsxd gives the amount that survives filtration by the liver. Finally, if x mg survives filtration by the liver, then fsxd is absorbed into the sinus cavity. Thus, for a given dose x, the amount making it to the sinus cavity is Asxd fstshsxddd. Suppose that a dose of 500 mg is given, hs500d 8, ts8d 2, fs2d 1.5, and h9s500d 2.5, t9s8d 1 4, and f9s2d 1. Calculate A9sxd and interpret your answer.

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