Limited growth

1. Exercise:

A clinical thermometer shows 20 °C at the beginning of the measurement. The patient has a body temperature of 39.3 °C. The temperature increases by 2 degrees in the first second. If the thermometer reads 0.1°C exactly, how long do you have to measure until the body temperature is displayed?

2. Exercise:

A patient should have 150 mg of a drug constantly in his blood. The liver breaks down 0.30% of the drug present in the blood per second. Via a drip, 0.5 mg of the drug is administered every second.

a) After which time is the desired amount of the drug in the blood?

b) What is the final drug level?

c) How many mg of the medication must be administered per second to achieve a long-term level of 150 mg?

3. Exercise:

In a chemical reaction, compound A is converted into compound B. The number of conversions depends on how much of compound A is present. In the beginning, only compound A is present. Set up a model of the growth of compound B.