Consider the following function 522 – 4z + 3 - f (z) = (z+1)(z+2)(z +3) Find the residue at each pole of f (z). Find f (2) dz, where C: |z| = 5 1 Find ff (2) dz, where C: |z+ 1| = 1.5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 14T
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Consider the following function
5z2 – 4z +3
f (2) =
(z + 1) (z + 2) (z + 3)
Find the residue at each pole of f (z).
Find f (z) dz, where C: |2| = 5
1
Find ff (2) dz, where C: |z+1| = 1.5
Transcribed Image Text:Consider the following function 5z2 – 4z +3 f (2) = (z + 1) (z + 2) (z + 3) Find the residue at each pole of f (z). Find f (z) dz, where C: |2| = 5 1 Find ff (2) dz, where C: |z+1| = 1.5
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