(2, 2) (0, 2) C1 C3 C2 (2, 0) 3 (0, 0) -1 1.The equation of C3 can be expressed as z= p+ qi + ce®yhere O varies from mato na. What is the value of 2 + p+ q? 2.The equation of C3 can be expressed as z= p+ qi + ce®where 0 varies from mato nr. What is the value of |n – m?
(2, 2) (0, 2) C1 C3 C2 (2, 0) 3 (0, 0) -1 1.The equation of C3 can be expressed as z= p+ qi + ce®yhere O varies from mato na. What is the value of 2 + p+ q? 2.The equation of C3 can be expressed as z= p+ qi + ce®where 0 varies from mato nr. What is the value of |n – m?
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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Question
Transcribed Image Text:-3
(2, 2)
(0, 2)
1
C3
1-
C2
(2, 0)
-1
(0, 0)°
3
--1-
1.The equation of C3 can be expressed as z=p+ qi + cewhere O varies from mrto nT. What is the value of c +p+ q?
2.The equation of C3 can be expressed as z= p+ qi+ ce"where 0 varies from mato nT. What is the value of n – m?
![f(2) =
(z – 6 + 62) (2– 1– ) (z+ 51 – 212)
-
-
g(2) = 177 – 17 + 17i
and h (2)
= 251 + 2?1
Also consider the four different paths:
Cl: A line segment from (0, 0) to (0, 2) and then another line segment from (0, 2) to (2, 2)
[Coloured blue in the figure].
C2: Straight line from (0,0) to (2,2) [Coloured green in the figure].
C3: A semicircular path from (0, 0) to (2, 2)[Coloured red in the figure]. Note that the dotted
semicircle is not a part of the path. Its shown to give a clear idea of the position of the
semicircle C3.
C4: A circle of the form 2 = rịn the anti-clockwise direction, where ris a real number [Not
shown in the figure].
Answer the following questions. Input numerical values up to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6403eb78-3273-4b6b-8ff6-082bb93f503f%2F900041cc-6b69-4d85-8728-2df3bbda2bfe%2Foaeiekl_processed.png&w=3840&q=75)
Transcribed Image Text:f(2) =
(z – 6 + 62) (2– 1– ) (z+ 51 – 212)
-
-
g(2) = 177 – 17 + 17i
and h (2)
= 251 + 2?1
Also consider the four different paths:
Cl: A line segment from (0, 0) to (0, 2) and then another line segment from (0, 2) to (2, 2)
[Coloured blue in the figure].
C2: Straight line from (0,0) to (2,2) [Coloured green in the figure].
C3: A semicircular path from (0, 0) to (2, 2)[Coloured red in the figure]. Note that the dotted
semicircle is not a part of the path. Its shown to give a clear idea of the position of the
semicircle C3.
C4: A circle of the form 2 = rịn the anti-clockwise direction, where ris a real number [Not
shown in the figure].
Answer the following questions. Input numerical values up to three decimal places.
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