Solution :
The formula for the linearization of a function
at a point
= a is given as

Assuming the time is t and the distance travelled is
, that makes the speed as
.
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ 



B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ 



C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

= 7 - 1
= 6 km

= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
Hannah has
liters of oil left in the bottle.
Step-by-step explanation:
Given,
Quantity of oil in bottle = 4 liters
Quantity used by Hannah = 
We will subtract the quantity used from the total quantity.
Oil left = Total oil - Oil used

Taking LCM

Hannah has
liters of oil left in the bottle.
Keywords: fraction, subtraction
Learn more about fractions at:
#LearnwithBrainly
Answer:
ascending order} an order of numbers from least to greatest like 1 2 3 4
descending order} an order of numbers from greatest to least like 4 3 2 1
Answer:
3x=152
Step-by-step explanation:
You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.
Answer:
I think the right answer is A
sorry if I am wrong