A drug is injected into a patient and the concentration of the drug in the bloodstream

Chapter 3, Problem 102

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A drug is injected into a patient and the concentration of the drug in the bloodstream is monitored.Thedrug'sooncentration, C(t), in milligrams per liter. after t hoUJs is modeled by C(t) - ..2!..... 1 2 + I The graph of this rational function, obtained with a graphing utility, is shown in the figure. l ~ Sx -- a. Use the preceding graph to obtain a reasonable estimate or the drug'sconcentration after3 hours. b. Use the function 'sequation displayed in the voice balloon by the graph to determine the drug's concentration after 3 hours. c. Usc the function's equation to find the horizontal asymptote for the graph. Describe what this means about the drug's concentration in the patient's bloodstream as time increases.

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