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wariber [46]
3 years ago
12

The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table,

and why? x 0 3 6 9 12 y 3 7 11 15 19
Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

(b)  (18, 27), because the rate of change of the function is 4/3

Step-by-step explanation:

just took the test mah peeps;)

Fofino [41]3 years ago
6 0

Answer:

(18, 27), because the rate of change of the function is Four-thirds B.)

Step-by-step explanation:

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Assume that f(x)=ln(1+x) is the given function and that Pn represents the nth Taylor Polynomial centered at x=0. Find the least
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Answer:

the least integer for n is 2

Step-by-step explanation:

We are given;

f(x) = ln(1+x)

centered at x=0

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Error < 0.01

We will use the format;

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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

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