Explore BrainMass

Explore BrainMass

    Residues and Poles; Polar Numbers; Demoivre's Theorem

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please see the attachment for questions relating to residues and poles (polar numbers and Demoivre's Theorem).

    These problems are from complex variable class. Please specify the terms that you use if necessary and clearly explain each step of your solution.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:14 pm ad1c9bdddf
    https://brainmass.com/math/complex-analysis/residues-poles-polar-numbers-demoivres-theorem-36386

    Attachments

    Solution Preview

    See attached

    (a) We know that
    Here, f(z) = , z0 = -1
    Therefore,
    But any polar number z can be written as z = r(cos +i sin )
    To write in polar form, i = r(cos +i sin ...

    Solution Summary

    The residues and poles using Demoivre's Theorem is discussed. Complex variable classes are analyzed.

    $2.49

    ADVERTISEMENT