Let f (z) = 4z, = Q A = 2and B=2+ 2i. Let C1 be the contour composed of the line segments O Aand AB (in this order). Let C2 denote the line segment OB Finally, let C3 denote the semicircular arc from Bto O. B C3 C2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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What is a+b?
Let f (z) = 47, 0 = Q A = 2and
B = 2+ 2i. Let C1 be the contour
composed of the line segments O Aand AB
(in this order). Let C2 denote the line
segment OB Finally, let C3 denote the
semicircular arc from Bto O.
B
C3
C2
C1
A
Part (a)
Find
f(2)
dzand write it as a
+ ib
where a and b are real numbers. What is
a + b?
Transcribed Image Text:Let f (z) = 47, 0 = Q A = 2and B = 2+ 2i. Let C1 be the contour composed of the line segments O Aand AB (in this order). Let C2 denote the line segment OB Finally, let C3 denote the semicircular arc from Bto O. B C3 C2 C1 A Part (a) Find f(2) dzand write it as a + ib where a and b are real numbers. What is a + b?
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