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EX: Find all residues of f(Z) = Sol: f(z)= 50 Z x₁ = [ -=520- 7/42-7] 2-4 (Z+4)(Z-1)² 12= L 11 d 10 m [1/12 (22 200 25 507 Z +41 = 8, ^^ 50 Z Z³+2Z²²-7Z+4 there are simple pole at Z=-- double pole at Z=1 = -8 (Z+4) (50)-50Z* A im. (Z+4)² How did he get the value inside the circle

EX: Find all residues of f(Z) = Sol: f(z)= 50 Z x₁ = [ -=520- 7/42-7] 2-4 (Z+4)(Z-1)² 12= L 11 d 10 m [1/12 (22 200 25 507 Z +41 = 8, ^^ 50 Z Z³+2Z²²-7Z+4 there are simple pole at Z=-- double pole at Z=1 = -8 (Z+4) (50)-50Z* A im. (Z+4)² How did he get the value inside the circle

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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EX: Find all residues of f(z) = Sol: there are f(z)= 50 Z (Z+4)(Z-1)² 12- L = r₁ = [ 350 71 32²² +42-7 Z-4 50 Z Z→1 200 25 507 Z +4 = 8. ↑ ₁ Z³+2Z²²-7Z+4 -8 50Z _im. simple pole at Z=-L double pole at Z=1 (2+4) (50)-50Z* A (Z+4)(50) (2+4)² How did he get the value inside the circle
Transcribed Image Text:EX: Find all residues of f(z) = Sol: there are f(z)= 50 Z (Z+4)(Z-1)² 12- L = r₁ = [ 350 71 32²² +42-7 Z-4 50 Z Z→1 200 25 507 Z +4 = 8. ↑ ₁ Z³+2Z²²-7Z+4 -8 50Z _im. simple pole at Z=-L double pole at Z=1 (2+4) (50)-50Z* A (Z+4)(50) (2+4)² How did he get the value inside the circle
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