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
Section11.1: Parabolas
Problem 33E
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![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 (¹)
then classify](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd377aab-d46d-41ac-a49d-b3119dc6fdc9%2F6fa915f1-564b-433a-9791-366b159b3000%2Fjr04gs_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 (¹)
then classify
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