Let f (z) = 3z, O = ) A = 10and B = 10 +10i. Let C¡ 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. C3 Part (a)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f (z) = 3z, O = Q A = 1Oand B= 10 + 10i. Let C1 be the contour composed of the line segments OAand 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
Part (a)
Find
f(2) dz and write it as a + ibwhere a and b are real numbers. What is a + b
Transcribed Image Text:Let f (z) = 3z, O = Q A = 1Oand B= 10 + 10i. Let C1 be the contour composed of the line segments OAand 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 Part (a) Find f(2) dz and write it as a + ibwhere a and b are real numbers. What is a + b
Part (b)
Find
| f (z) dz and write it as a + ibwhere a and b are real numbers. What is a – b
Part (c)
Find
d/ f(z) dz and write it as a + ibwhere a and b are real numbers. What is b – a
Transcribed Image Text:Part (b) Find | f (z) dz and write it as a + ibwhere a and b are real numbers. What is a – b Part (c) Find d/ f(z) dz and write it as a + ibwhere a and b are real numbers. What is b – a
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