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Asymptotes and Their Meaning

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3. Today you visited the R & D (Research and Development) department of a pharmaceutical manufacturer. The people in this lab have to calculate the recommended dosage of the products they are developing. Medicine is expressed as a function of the concentration in parts per million, with the potency of the dosage declining over a period of time.

The function N(t) = (0.8t + 1000 ) / (5t+4), where t=>15 gives the body concentration N(t), in parts per million, of a certain dosage of medication after time t, in hours.

a) Find the horizontal asymptote of the graph and complete the following statement: N(t) approaches ? as t approaches infinity.

b)Explain the meaning of the answer to a) in terms of the medical dosage application.

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Asymptotes are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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Hi, here is the solution...

To find the Horizontal asymptotes we need to plug in the limit t tends to infinity.

Lim (0.8t + 1000 ) / (5t+4) => 0.8/ 5 ...

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