Let f (z) = 10z, O = 0, A = 1 and B = 1+ li. Let C, be the contour composed of the line segments OA and AB (in this order). Let C2 denote the line segment OB. Finally, let C3 denote the semicircular arc from B to O. C3 Part (a) Find f(2) dz and write it as a + ib where a and b are real numbers. What is a + b? Part (b) Find I f (2) dz and write it as a + ib where a and b are real numbers. What is a – 6? Part (c) Find f(z) dz and write it as a + ib where a and b are real numbers. What is b – a?
Let f (z) = 10z, O = 0, A = 1 and B = 1+ li. Let C, be the contour composed of the line segments OA and AB (in this order). Let C2 denote the line segment OB. Finally, let C3 denote the semicircular arc from B to O. C3 Part (a) Find f(2) dz and write it as a + ib where a and b are real numbers. What is a + b? Part (b) Find I f (2) dz and write it as a + ib where a and b are real numbers. What is a – 6? Part (c) Find f(z) dz and write it as a + ib where a and b are real numbers. What is b – a?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let f (z) = 10z, O = 0, A = 1 and B = 1+ li. Let C, be the contour composed of the line segments OA and AB (in
this order). Let C2 denote the line segment OB. Finally, let C3 denote the semicircular arc from B to O.
C3
C2
C
Part (a)
Find
I f (2) dz and write it as a + ib where a andb are real numbers. What is a + b?
Part (b)
Find
f(2) dz and write it as a + ib where a and b are real numbers. Whatis a – b?
C2
Part (c)
If (z) dz and write it as a + ib where a and b are real numbers. What is b- a?
C3
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