Let the function C� represent the drug concentration in mg/ml of a certain drug at the time t� (in hours) after the drug is given. Suppose the function C� is given by C=11.8te^−0.25t Graph this curve on your graphing calculator. (1) How many hours does it take for the drug to reach its peak concentration? (Round your answer to 2 decimal places.) _________________________________ (2) What is the peak concentration? (Round your answer to 2 decimal places.) ___________________________________________ For each of the following questions, use your calculator's zoom and trace functions to get a good estimate of the answer. Then use your calculator to compute the value of C for your estimate and for nearby values of t until you find the value of t (to 2 decimal places) that gives the closest value of C to the desired value. Your calculator's 2nd-Entry key will be useful for rapidly computing values of C for different values of t. (3) The minimum effective concentration for this drug is 10 ng/ml. What is the time of onset of effectiveness? (Round your answer to 2 decimal places.) __________________________________________ What is the time of termination of effectiveness? (Round your answer to 2 decimal places.) ___________________________________ (4) If complications can arise whenever the concentration of the drug is above 4 ng/ml, at what time will a patient become safe from complications? (Round your answer to 2 decimal places.) ___________________________________
Let the function C� represent the drug concentration in mg/ml of a certain drug at the time t� (in hours) after the drug is given. Suppose the function C� is given by
Graph this curve on your graphing calculator.
(1) How many hours does it take for the drug to reach its peak concentration? (Round your answer to 2 decimal places.)
(2) What is the peak concentration? (Round your answer to 2 decimal places.)
For each of the following questions, use your calculator's zoom and trace functions to get a good estimate of the answer. Then use your calculator to compute the value of C for your estimate and for nearby values of t until you find the value of t (to 2 decimal places) that gives the closest value of C to the desired value. Your calculator's 2nd-Entry key will be useful for rapidly computing values of C for different values of t.
(3) The minimum effective concentration for this drug is 10 ng/ml. What is the time of onset of effectiveness? (Round your answer to 2 decimal places.)
What is the time of termination of effectiveness? (Round your answer to 2 decimal places.)
___________________________________
(4) If complications can arise whenever the concentration of the drug is above 4 ng/ml, at what time will a patient become safe from complications? (Round your answer to 2 decimal places.)
___________________________________
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