980×960= what is the answer
1 answer:
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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.
Answer:
Option 1 the given sequence is a geometric.
Step-by-step explanation:
We have been given with the series
Arithmetic sequence is the sequence in which difference between consecutive terms is same that is common difference d
here
here
We can see the difference is not same
Hence, the given sequence is not arithmetic sequence.
Geometric sequence is the sequence in which ratio of consecutive terms is same that is common ratio r
here
here
here
We can see the ratio is same.
Hence, given sequence is geometric
Therefore, Option 1 is correct given sequence is geometric.