Taylor series is 
To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have
f(x) = ln(x)
.
.
.
Since we need to have it centered at 9, we must take the value of f(9), and so on.
f(9) = ln(9)
.
.
.
Following the pattern, we can see that for 
,
This applies for n ≥ 1, Expressing f(x) in summation, we have
Combining ln2 with the rest of series, we have
Taylor series is
Find out more information about taylor series here
brainly.com/question/13057266
#SPJ4
3 1/8
First you take the all the dogs that gained 3/4 (which is 4)
Then you multiply it by 4
3/4x4=3
Then you add the dogs that gained 1/8 of a pound
3+1/8=3 1/8
Attached solution and work.
Answer:
Samuel slept for 1/4 of the distance.
Step-by-step explanation:
The information provided are:
- Samuel fell asleep halfway home.
- He didn't wake up until he still had half as far to go as he had already
- gone while asleep.
Consider that the total distance covered was 1.
Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.
It is provided that he woke up only after covering half of the remaining distance.
That is, he slept for 1/4 of the remaining distance.
Thus, Samuel was asleep for 1/4th of the entire trip home.
I think it’s c if not i’m sorry i got you incorrect but it just makes more since
