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
and btw go easy on his injury cowboys! till i die
Step-by-step explanation: my reasons:
The kind of dreams where you wake up and can’t stop smiling.
The smell before and after it rains.
The sound of rain against a rooftop.
The feeling you get when you’re dancing.
The person (or people) that mean the most to you. Stay alive for them.
Trying out new recipes.
The feeling you get when your favorite song comes on the radio.
Things are going to be okay. maybe not today and maybe tomorrow not but things are eventually going to be ok.
Answer:
a=2
Step-by-step explanation:
3(3a+2)+6=30
9a+6+6=30
9a+12=30
9a=18
a=2
Answer:
Try this formula: length x width x height then you will find the answe. Hope this helps!
Answer: 2.7
Step-by-Step Explanation:
