(Solved): 2. The concentration of a particular drug in a patient's bloodstream t hours after injection is gi ...

2. The concentration of a particular drug in a patient's bloodstream $$t$$ hours after injection is given by $$C(t)=\frac{t}{\left(t^2+0.4\right)}t?0$$ milligrams per cubic centimeter $$(\mathrm{mg}/\mathrm{cc})$$ of blood. Time, $$t$$, is measured in hours. (a) What is the concentration of the drug in the patient's bloodstream three quarters of an hour $$(t=0.75)$$ after injection? Include units in your answer. (b) Find the AROC of the drug in the bloodstream for each interval. Draw a table like the one below on your paper. In finding the AROC use function values with 8 decimal digits then round your AROC to 4 decimal digits. Include correct units with each AROC. (c) Use your table of AROC values to find their limit as the time intervals decrease to give you the ROC of the concentration of the drug in the blood stream one hour $$(t=1)$$ after injection accurate to 3 decimal digits. Write out this ROC with correct units.