Question: The function C(h) = (2h^2+5h)/(h^3+8) models the concentrations of a medication in the bloodstream (as a percent) (h) hours after its injection into muscle tissue.

The function C(h) = (2h^2+5h)/(h^3+8) models the concentrations of a medication in the bloodstream (as a percent) (h) hours after its injection into muscle tissue. Find the equation of the vertical asymptote of this function. Would this concern a medical professional? Explain.

Find the equation of the horizontal asymptote. What does this mean in this context?

Find all of the intercepts of C and interpret their meaning in the context of this problem.

How many hours after injection does a maximum concentration of the drug occur in the bloodstream? Round answer to the nearest hundredth.

Suppose you need to re-administer this injection at the point when the concentration is less than 0.5%. If the first injection was given at 8:00 AM, what time should the next injection be given?

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