
is differentiable across its domain, so the MVT says there is some value of

in the open interval

such that

You have

so the equation above becomes

Solve for

.




so

is indeed the average of the endpoints, i.e. the midpoint.
Answer:
it is either 2 or 4
Step-by-step explanation: because if you break them apart you will get 2 or 4
Answer:
(B) Time (min) 2 , 3 , 7 , 9
Temperature (°C) 60.6 , 64.3 , 79.1 , 86.5
Step-by-step explanation:
The rate of change is found by using the formula for slope:

For option A, this gives us
m =(64.4-61.0)/(3-2) = 3.4/1 = 3.4
This is not more than relationship A.
For option B, we have
(64.3-60.6)/(3-2) = 3.7/1 = 3.7
This is more than relationship A.
For option C, we have
(65.3-61.8)/(3-2) = 3.5/1 = 3.5
This is not more than relationship A.
For option D, we have
(64.6-61.0)/(3-2) = 3.6/1 = 3.6
This is not more than relationship A.
Answer:
y = 5x + 3
Step-by-step explanation:
The answer that belongs in the ? is 5.