1.6 Answer the following questions in full a) Classify (identify) all the singularities of the function F(z) = the zeros of the function b) Use Rouche's theorem to determine the number of zeros (counting multiplicities) in the unit disk, of the equations z" + 8z² + 1 = 0, n E, n ≥ 3 and z4+z³ - 4z + 1 = 0 in the annulus 1 < |z| <3. (z-2)²(z+5)sin () (z+6)² cos ( then classify
1.6 Answer the following questions in full a) Classify (identify) all the singularities of the function F(z) = the zeros of the function b) Use Rouche's theorem to determine the number of zeros (counting multiplicities) in the unit disk, of the equations z" + 8z² + 1 = 0, n E, n ≥ 3 and z4+z³ - 4z + 1 = 0 in the annulus 1 < |z| <3. (z-2)²(z+5)sin () (z+6)² cos ( then classify
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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