During an illness a person ran a fever. His temperature rose steadily for sixteen hours, then went steadily down for twenty-two hours. When was there a critical point for his temperature as a function of time? There was a critical point after the first hours.

There was a critical point after the first 16 hours.

Step-by-step explanation:

A critical points happens when the behavior of a function changes. That is, either it goes from increasing to decreasing, or it goes from decreasing to increasing.

In this problem, we have that:

Rose for sixteen hours

After the first 16 hours.

Went steadily down for twenty-two hours.

So after the first 16 hours, there was a critical point.

So the correct answer is:

There was a critical point after the first 16 hours.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.