suppose that c(t)=5t/t^2+t (in mg/mL) represents the concentration of a drug in a patient's bloodstream t hours after the drug was administered construct a table values for c(t) for t=1,2,5,10 round off answer to three decimal places. Use the table to sketch graph and interpret the result
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Given : c(t) = 5t/(t² + 1) ( correction in Question)
To Find : construct a table values for c(t) for t=1,2,5,10 round off answer to three decimal places
Plot the graph
Solution:
c(t) = 5t/(t² + 1)
t c(t)
0 0
1 2.5
2 2
5 0.962
10 0.495
Graph is attached:
Maximum value of drug in blood is after 1 hrs which is 2.5mg/ml
Drug in blood Increase rapidly in first hour
and then decrease slowly
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