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dlinn [17]
2 years ago
7

24÷2081 help me find the answer please and thank you

Mathematics
1 answer:
Leni [432]2 years ago
8 0

Answer:

= 86.7083333333

Welcome

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Determine the values of xfor which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.(Enter
MrMuchimi

Answer:

The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0

The explanation of the answer is now provided as follows:

Given:

f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)

R_{3} = (x) = (e^z /4!)x^4

Since the aim is R_{3}(x) < 0.001, this implies that:

(e^z /4!)x^4 < 0.0001 ………………………………….. (2)

Multiply both sided of equation (2) by (1), we have:

e^4x^4 < 0.024 ……………………….......……………. (4)

Taking 4th root of both sided of equation (4), we have:

|xe^(z/4) < 0.3936 ……………………..........…………(5)

Dividing both sides of equation (5) by e^(z/4) gives us:

|x| < 0.3936 / e^(z/4) ……………….................…… (6)

In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:

|x| < 0.3936 -----> 0 < x < 0.3936

Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

3 0
3 years ago
PLS HELP!!! WILL AWARD BRAINLIEST! <br><br> Rewrite this equation without using absolute value.
Drupady [299]

Answer:

0.127

Step-by-step explanation:

|√15-5+1 |

|√15-4 |

|3.873-4 |

|-0.127|

0.127

7 0
3 years ago
By visiting homes door-to-door, a municipality surveys all the households in 31 randomly-selected neighborhoods to see how resid
monitta

Answer:

Cluster Sample

Step-by-step explanation:

Sometimes, a survey may involve people in a widespread geographical location. Taking samples from all part of the location may involve higher cost and even difficulty in accessing the whole area. Researchers therefore use a type of sampling method that help in overcoming this difficulty and still get results that can be used to judge the whole population.

This type of sampling is called cluster sampling. Cluster sampling involves sharing your population into clusters and randomly selecting two or more of the clusters. The researcher then samples from only the selected clusters.

In the question above, the population is already shared into clusters, in the form of neighbourhoods. The municipality then randomly selected 31 neighbourhoods out of the whole neighbourhoods in the city, just like in cluster sampling, then samples from only the selected neighbourhood. This is why the selected samples are cluster samples.

6 0
3 years ago
Please I need the answers urgently​
Gala2k [10]

Answer:

I'm not able to understand your handwriting

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work. 4 -x^2
Leokris [45]
The answer is x^2=20
First you subtract 4and you get -x^2=-20
Then you divide by -1 which get you x^2=20
6 0
3 years ago
Read 2 more answers
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