A drug is given to a patient using intravenous line. The mixture in the intravenous line flows into the patient at the rate of 100 ml per hour and contains a drug with a concentration of 3 mg/ml. The patient's body eliminates the drug at the rate of 10 (percent) per hour. Assuming the patient has none of the drug in his body initially, how long will it take the drug to reach 50(percent) of its steady state level?

2) A rumor spreads through a group of people at a rate proportional to the product of the number people who have heard the rumor and the number of people who have not heard the rumor. Write down the initial value problem whose solution will be the number of people who have heard the rumor as a

function of time if 100 people in a group of 1000 people currently have heard the rumor.

**I need more practice with these kinds of problems.** Solving them is the easy part, but setting them up is what I have trouble with.

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