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 theline segment OB Finally, let C3 denote the semicircular arc from Bto O.BC3C2C1Part (a)Findf(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 – bPart (c)Findd/ f(z) dz and write it as a + ibwhere a and b are real numbers. What is b – a

Note:-if z=x+iy then z =x-iy Given that fz=3 z fz=3 z =3x-iyfx+iy=3x-iy Also, given that

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)

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)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter84: Binary Numeration System

Section: Chapter Questions

Problem 5A

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Question

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

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