Question

The nicotine level in the blood rises as a person smokes, and tapers off when the smoking ceases. The function C(t)= 4+5te^-0.1t represents the concentration of nicotine, measures in nanograms per milliliter (ng/ml) in the blood of a smoker, t minutes after smoking a cigarette.

A. How long foes it takes for the nicotine level to reach its maximum. What is the concentration at that time?

B. Determine the times corresponding to any inflection points

C. This particular smoker craves another cigarette whenever their nicotine level falls below 5ng/ml. About how long can they go between cravings?

Answer 1

The solution is given below....