# Vectors, Maclaurin and Taylor Series and Radius of Convergence (18 Problems)

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Please assist me with the attached problems, including:

1. Sketch each vector

2. Find the standard representation and length of each vector

3. Maclaurin and Taylor Series and Radius of Convergence

See attachment for complete list of questions. Thanks.

https://brainmass.com/math/real-analysis/vectors-maclaurin-taylor-series-radius-convergence-37432

#### Solution Preview

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Question: 9.1.

1)

2)

PQ=0i+8j

|PQ|=10

3) PQ=i+j

So, |PQ|=

4)

a) , so

So, the unit vector is

b) , so

So, the unit vector is

Question: 8.8

a) Since , we have

b) Since and , we have

...

#### Solution Summary

Eighteen problems involving Vectors, Maclaurin and Taylor Series and Radius of Convergence are solved. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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