The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is C=3t^2+t/ t^3+50

A. Determine the horizontal asymptote of the function and interpret its meaning in the context of the problem.

B. approximate the time when the bloodstream concentration is greatest.

2 answers

A.) Horizontal Asymptote- y=0, you can never have more than 1 (100%) or less than 0 (0%) of the chemical in the bloodstream

B.) 46% is the maximum after 4.5 hours
A. C=0
This indicates that the concentration of the chemical into the muscle tissue eventually dissipates.

B. t= 4.5 hours

C. C < 0.355 when 0 ≤ t ≤ 2.72 hours and t > 8.03 hours.

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