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 < = 4 mg and t > = 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.

Respuesta :

Answer:

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