Prove that f(z) dz = 0, where f is the given function and C is the unit circle |z| = 1. (Enter your answers as a comma-separated list. JC sin(z) f(z) = (2²-64)(z²+9) The function f is discontinuous at z = Rook and it is analytic --Select-- the circle |z| = 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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Prove that
f(z) dz = 0, where f is the given function and C is the unit circle |z| = 1. (Enter your answers as a comma-separated list.
JC
sin(z)
f(z) = (22-64)(z²+9)
The function f is discontinuous at z =
Rook
and it is analytic --Select--
the circle |z) 1.
Transcribed Image Text:Prove that f(z) dz = 0, where f is the given function and C is the unit circle |z| = 1. (Enter your answers as a comma-separated list. JC sin(z) f(z) = (22-64)(z²+9) The function f is discontinuous at z = Rook and it is analytic --Select-- the circle |z) 1.
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