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 that C is given by C=16.2te^−0.25t Graph this curve on your graphing calculator. For questions (1) and (2), 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. (1) 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.) _________________________________ (2) What is the time of termination of effectiveness? (Round your answer to 2 decimal places.) _________________________________ (3) If you want the onset of the effectiveness of the second dose to coincide with the termination of the effectiveness of the first dose, when should the second dose be given? (Ignore the additive effects of the two doses.) (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 that C is given by
Graph this curve on your graphing calculator.
For questions (1) and (2), 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.
(1) 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.)
(2) What is the time of termination of effectiveness? (Round your answer to 2 decimal places.)
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(3) If you want the onset of the effectiveness of the second dose to coincide with the termination of the effectiveness of the first dose, when should the second dose be given? (Ignore the additive effects of the two doses.) (Round your answer to 2 decimal places.)
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