The Taylor series is defined by:

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.
Derivatives can be found using product rule:

Do this successively to n = 6.

Plug in x=0 and sub into taylor series:

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
Answer: P = 2
Step-by-step explanation:
18 = 2(p+7)
18 = 2(2P+14)
-14 -14
4 = 2P
2=P
The endpoints are the points which represent or marks the end of a line segment or an interval. So, the endpoints would be the same points given which are ( 5/3, 1 ) and ( 0, 2). The midpoint, on the other hand, is the point that is located halfway through the line segment or the interval. It divides the segment into two parts with equal lengths. We calculate it by the formula,
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
We substitute the points given above to the formula as follows:
midpoint = ((5/3 + 0) / 2, (1 + 2) / 2)
midpoint = 5/6 , 3/2
So, the midpoint is located at point 5/6, 3/2.
Answer:
The answer is the third one
Step-by-step explanation:
I don't know the explanation I know the answer because I have that as my homework questionand my mom helped me I didn't know what she was saying but she said it is the third kne
The answer is 9/28. Double check my work