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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.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:15 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/vectors-maclaurin-taylor-series-radius-convergence-37432

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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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