Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then Ι-1-cosh π+ π(-1) I=-sinh T+ n(1-i) Ι=-1-cosh π+ π(1-1) None of these O I=-sinh + r(i-1) |=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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Please solve this two exercise
Let C be the shortest path that connects a to ni and I = S. (sinhz + 1)dz. Then
|=-1-cosh n+ T(i-1)
|=-sinh n+ n(1-i)
1--1-cosh π+ π(1-1)
None of these
|=-sinh + n(i-1)
|=0
Transcribed Image Text:Let C be the shortest path that connects a to ni and I = S. (sinhz + 1)dz. Then |=-1-cosh n+ T(i-1) |=-sinh n+ n(1-i) 1--1-cosh π+ π(1-1) None of these |=-sinh + n(i-1) |=0
Let z be a complex number and f(z) be any function. If C is a contour and
Sc f(z)dz = 0 then
f is an analytic function throughout
and on C and C is closed
f is an analytic function throughout C
but not necessary on C
None of these
It is not necessary that C is closed
Transcribed Image Text:Let z be a complex number and f(z) be any function. If C is a contour and Sc f(z)dz = 0 then f is an analytic function throughout and on C and C is closed f is an analytic function throughout C but not necessary on C None of these It is not necessary that C is closed
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Swokowski
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