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.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!