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# 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.

#### 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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