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Mathematics, 20.04.2019 02:28 tmrodriguez1

The function c(h)=(2h^2+5h)/(h^3+8) models the concentration of medication in the bloodstream (as a percent) h hours after its injection into muscle tissue.
1. a. determine the domain of the function in the context of this problem.
b. find the equation of the vertical asymptote of this function. {hint: a^3+b^3=(a+b)(a^2-ab+b^2)} would this concern a medical professional? explain.
2. find the equation of the horizontal asymptote. what does this mean in this context?
3. find all of the intercepts of c and interpret their meaning in the context of this problem.
4. how many hours after injection does a maximum concentration of the drug occur in the bloodstream? round answer to the nearest hundredth.

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