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Question 3 (10 marks). The concentration of antibiotic in the bloodstream t hours after
being injected is given by the function
C(t) = [tex]\frac{2t^{2} + t }{t^{3} + 50}[/tex]
where C is measured in milligrams per liter of blood.
a. Find the rate of change of C(t).
b. Determine the rate of change for t = 8, 12, 24, and 36.
c. Briefly describe what seems to be occurring as the number of hours increases.
Sagot :
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