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

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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
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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