i. Let Cr be a contour lying inside C, parametrised by y : [0, 2π] → C, y(t) = zo + r exp(it) where r > 0. Explain why ii. Show that √ f(z) √(F(2) 2- 20 f(z) - Zo dz = Cr dz – 2πif (zo) = = f(z) 2- 20 Cr d dz. f(z) - f(zo) 2- 20 dz.
i. Let Cr be a contour lying inside C, parametrised by y : [0, 2π] → C, y(t) = zo + r exp(it) where r > 0. Explain why ii. Show that √ f(z) √(F(2) 2- 20 f(z) - Zo dz = Cr dz – 2πif (zo) = = f(z) 2- 20 Cr d dz. f(z) - f(zo) 2- 20 dz.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![i. Let Cr be a contour lying inside C, parametrised by y : [0, 2π] → C, y(t) =
zo+rexp(it) where r > 0. Explain why
ii. Show that
f(z)
[1(2) dz- / 1(2) ds.
Se
=
2- 20
| f(z)
2- 20
dz - 2πif (zo) = Sc
ƒ(z) – ƒ (zo)
2 - 20
dz.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0d2dbea-0987-4c02-a00c-0b87f219c8f9%2F2771df25-255a-4407-a819-6e2adb274230%2Fnt3q14k_processed.png&w=3840&q=75)
Transcribed Image Text:i. Let Cr be a contour lying inside C, parametrised by y : [0, 2π] → C, y(t) =
zo+rexp(it) where r > 0. Explain why
ii. Show that
f(z)
[1(2) dz- / 1(2) ds.
Se
=
2- 20
| f(z)
2- 20
dz - 2πif (zo) = Sc
ƒ(z) – ƒ (zo)
2 - 20
dz.
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