Suppose that C = {z:|2| = 1} is the unit circle, followed in the positive (anticlockwise) direction. a) Use Theorem 4B to show that dz < 27. 4+3z b) By dividing the circle C into its left half and its right half and applying Theorem 4B to each half, establish the better bound dz 67 4+ 3z
Suppose that C = {z:|2| = 1} is the unit circle, followed in the positive (anticlockwise) direction. a) Use Theorem 4B to show that dz < 27. 4+3z b) By dividing the circle C into its left half and its right half and applying Theorem 4B to each half, establish the better bound dz 67 4+ 3z
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Suppose that C = {z: 2| = 1} is the unit circle, followed in the positive (anticlockwise) direction.
a) Use Theorem 4B to show that
dz
< 27.
4+3z
b) By dividing the circle C into its left half and its right half and applying Theorem 4B to each half,
establish the better bound
dz
67
4+3z
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F573c81c1-57d0-40d5-bd8a-42176596d33c%2F4d2b48ed-250b-427c-be3b-b2ceb08e8c8d%2Fxgxu1yh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that C = {z: 2| = 1} is the unit circle, followed in the positive (anticlockwise) direction.
a) Use Theorem 4B to show that
dz
< 27.
4+3z
b) By dividing the circle C into its left half and its right half and applying Theorem 4B to each half,
establish the better bound
dz
67
4+3z
5
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