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Consider the concentration C of a drug in the blood as a function of w, the amount of the drug given, and t, the time
Consider the concentration C of a drug in the blood as a function of w, the amount of the drug given, and t, the time since the injection. For 0 S a: S 3 and t 2 0, we have C : f(a:,t) : te'm'x) The units of C are milligrams per litre, the units of :c are milligrams, and the units of tare hours. Sketch the following two single-variable functions on a separate page. Pay attention to the domain given at the start of the problem. (a) \"3: t) (b) f(:c, 3.5) Using your graph in (a), where is f(3, t) a maximum? t = a minimum? t : Using your graph in (b), where is an, 3.5) a maximum? 30 2 iii a minimum? 35 = Give a practical interpretation of the function f (3, 1;). Choose the best answer. A. the concentration of the drug in the blood 3 hours after injection, as a function of the amount injected B. the time after injection until the concentration in the blood is 3 mg/L, as a function of the amount injected C. the initial injection necessary for concentration to be 3 mg/L, as a function of time D. the time after injecting 3 mg, as a function of concentration 0 E. the concentration of the drug in the blood resulting from a 3 mg injection as a function of time Give a practical interpretation of the function ay, 3.5). Choose the best answer. 0A. the concentration of the drug in the blood 3.5 hours after injection, as a function of the amount injected B. the concentration of the drug in the blood resulting from a 3.5 mg injection as a function of time C. the time after injecting 3.5 mg, as a function of concentration D. the time after injection until the concentration in the blood is 3.5 mg/L, as a function of the amount injected E. the initial injection necessary for concentration to be 3.5 mg/L, as a function of time
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