A drug in the bloodstream has a concentration of at time t ≥ 0 hours. The c...

A drug in the bloodstream has a concentration of

at time t ≥ 0 hours. The constants a and b depend on the particular drug.

a. Use a graphing device to sketch the graph of y = c(t) for several choices of a and b. How do a and b affect the graph?

b. For a = 3 and b = 1, approximate the highest concentration of the drug reached in the bloodstream.

c. What happens to the drug concentration as time t becomes large?

d. For a = 3 and b = 1, determine how long it takesfor the drug concentration to drop below 0.2.