Step-by-step explanation:
12) y = 4 + 7x
x = 3,-1
y = 4 + 7(3) = 25
13) y = x - 11
x = 72,
y = 72 - 11 = 61
14) y = 6x - 5
y = 6(-4) - 5 = -29
y = -11 (x = -1)
y = -5 (x = 0)
y = 13 (x = 3)
15) y = x + 1, each relation is a function
16) An = 22 + (n-1)11
A(2) = 22 + 1(11) = 33
A(5) = 22 + 4(11) = 66
lesson 5,1
1 ------- A
2 ------ C
3 ------ A
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
Answer:
10
Step-by-step explanation:
10x0 is 0
10x1 is 10
