Exercise 8. Let z be a complex number and f(z) be any bounded function on C where C is a contour of finite length. Then .Sc f(z)dz = 0 b. S. f(z)dz is not necessary bounded c. S. f(z)dz is bounded d. None of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Exercise 8.
Let z be a complex number and f(z) be any bounded function on C where C is a
contour of finite length. Then
a. Sc f(z)dz = 0
b. S. f(z)dz is not necessary bounded
c. S. f(z)dz is bounded
d. None of these
Transcribed Image Text:Exercise 8. Let z be a complex number and f(z) be any bounded function on C where C is a contour of finite length. Then a. Sc f(z)dz = 0 b. S. f(z)dz is not necessary bounded c. S. f(z)dz is bounded d. None of these
Exercise 7.
Let z be a complex number, f(z) be any function, and C be any contour. Then
Sc F(2)dz+ S_cf(z)dz is
a. equal to ſ. f(z)dz
b. equal to – S. f(z)dz
c. equal to 0
d. None of these
Transcribed Image Text:Exercise 7. Let z be a complex number, f(z) be any function, and C be any contour. Then Sc F(2)dz+ S_cf(z)dz is a. equal to ſ. f(z)dz b. equal to – S. f(z)dz c. equal to 0 d. None of these
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