Answer:
the least integer for n is 2
Step-by-step explanation:
We are given;
f(x) = ln(1+x)
centered at x=0
Pn(0.2)
Error < 0.01
We will use the format;
[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01
So;
f(x) = ln(1+x)
First derivative: f'(x) = 1/(x + 1) < 0! = 1
2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1
3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2
4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6
This follows that;
Max|f^(n+1) (c)| < n!
Thus, error is;
(n!/(n + 1)!) × 0.2^(n + 1) < 0.01
This gives;
(1/(n + 1)) × 0.2^(n + 1) < 0.01
Let's try n = 1
(1/(1 + 1)) × 0.2^(1 + 1) = 0.02
This is greater than 0.01 and so it will not work.
Let's try n = 2
(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267
This is less than 0.01.
So,the least integer for n is 2
3 units/ 5 feet = 60 units/ 100 feet
3 units/ 5 feet = 18 units/ 30 feet
The dimensions of the scale drawing are 60 units by 18 units.
Hope this helps!
The identified for the construction is the endpoint of rays BA and BC option (C) is correct.
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
Angle ABC has point E on ray BA and point D on ray BC.
Points E and D are equidistant from point B.
The ED distance because if the distance between E and D is even slightly different, the entire angle ABC will vary.
Thus, the identified for the construction is the endpoint of rays BA and BC option (C) is correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ1
What is your question that your asking?
1/2 I guess I don't think you typed in the question correctly. Not trying to be mean.
