Consider the concentration, C, in mg/liter, of a drug in the blood as a function of x, of the amount, in mg, of the drug given and t, the time in hours since the injection. For 0 < = x = 0 hours, we have C = f (x, t) = te^-t (5-x). Find f (1, 2). Interpret in terms of drug concentration. a. The change in concentration of a 1 mg dose in the blood 2 hours after injection. b. The amount of a 1 mg dose in the blood 2 hours after injection. c. The concentration of a 1 mg dose in the blood 2 hours after injection. d. The concentration of a 2 mg dose in the blood 1 hour after injection. e. The change in concentration of a 2 mg dose in the blood 1 hour after injection.

Question

Mathematics

Hayden

7 June, 06:49

Consider the concentration, C, in mg/liter, of a drug in the blood as a function of x, of the amount, in mg, of the drug given and t, the time in hours since the injection. For 0 < = x = 0 hours, we have C = f (x, t) = te^-t (5-x). Find f (1, 2). Interpret in terms of drug concentration. a. The change in concentration of a 1 mg dose in the blood 2 hours after injection. b. The amount of a 1 mg dose in the blood 2 hours after injection. c. The concentration of a 1 mg dose in the blood 2 hours after injection. d. The concentration of a 2 mg dose in the blood 1 hour after injection. e. The change in concentration of a 2 mg dose in the blood 1 hour after injection.

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Answers (1)

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Bentley Glenn · Answer 1

c. the concentration of 1 mg dose in the blood 2 hours after injection.

Step-by-step explanation:

We have, C = f (x, t) = t*e^-t (5-x)

then

C = f (1, 2) = 2*e^-2 (5-1)

C = 2*e^-2 (4)

C = 2*e^-8 OR C = 2/e^8