Lidocaine: Lidocaine is a drug used to treat irregular heartbeats. After an injection of a 100-mg doseof lidocaine, the amount of the drug in a patient’s bloodstream is at time t minutes after the...

Lidocaine: Lidocaine is a drug used to treat irregular heartbeats. After an injection of a 100-mg doseof lidocaine, the amount of the drug in a patient’s bloodstream is

at time t minutes after the injection.

a. Make a graph of the amount of drug in the bloodstream for t up to 4 hours (240 minutes).

b. When does the drug reach its maximum level in the bloodstream?

c. For a person of typical size, the drug is effective as long as the amount in the bloodstream is at least 7.5 mg. For how long is the drug at or above that level? (Hint: The drug is at that level twice.)

d. For a person of typical size, the lethal level is when the amount in the bloodstream exceeds 30 mg. Is this dose lethal for such a person?

e. For a small person, the lethal level is when the amount in the bloodstream exceeds 15 mg. Is this dose lethal for such a person? If so, after how many minutes will it be lethal?