Chapter 2.2, Problem 44E

Drug Diffusion in the Bloodstream After a drug is taken orally, the amount of the drug in the bloodstream after $t$ hours is $f\left(t\right)$ units. Figure $27$ shows partial graphs of $f\text{'}\left(t\right)$ and $f\text{'}\text{'}\left(t\right)$.

a. Is the amount of the drug in the bloodstream increasing or decreasing at $t=5$ hour?

b. Is the graph of $f\left(t\right)$ concave up or concave down at $t=5$ hour?

c. When the level of the drug in the bloodstream decreasing fastest?

d. At what time is the greatest level of drug in the bloodstream reached?

e. When is the level of the drug in the bloodstream decreasing at the rate of $3$ units per hour?