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Consider the concentration C of a drug in the blood as a function of a the amount of the drug given and t the time since the injection For 0 x 4 and t 0 we have C f x t xte t The units of Care milligrams per litre the units of a are milligrams and the units of t are 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 f 2 t b f x 1 5 Using your graph in a where is f 2 t a maximum t a minimum t Using your graph in b where is f x 1 5 a maximum x a minimum x Give a practical interpretation of the function f 2 t Choose the best answer A the time after injecting 2 mg as a function of concentration B the time after injection until the concentration in the blood is 2 mg L as a function of the amount injected C the concentration of the drug in the blood 2 hours after injection as a function of the amount injected D the initial injection necessary for concentration to be 2 mg L as a function of time E the concentration of the drug in the blood resulting from a 2 mg injection as a function of time Give a practical interpretation of the function f x 1 5 Choose the best answer A the time after injection until the concentration in the blood is 1 5 mg L as a function of the amount injected OB the initial injection necessary tration to be 1 5 mg L as a function of time C the concentration of the drug in the blood 1 5 hours after injection as a function of the amount injected D the time after injecting 1 5 mg as a function of concentration E the concentration of the drug in the blood resulting from a 1 5 mg injection as a function of time

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