For problems 4 - 6, evaluate I= -dz on the given contours. Question #4) Question #5) Question #6) C4: Iz - 3| = 3 Cs: Iz + 2i| = 2.5 Cg: Iz + 2 - 2i| = 3 %3D

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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I need problem 4 5 and 6 with correct options please do it clear writing
Evaluate the following integrals using Cauchy Residue Theory.
All closed contours are traversed CCw.
z + 3
For problems 1-3, evaluate I = 0
dz on the given contours.
(z - 1)(z + 2)2
Question #1)
Question #2)
Question #3)
C;: Iz - 2i + 1| = 3
C2: Iz - il = 3
C3: |z + = 1
1
dz on the given contours.
For problems 4 - 6, evaluate I =
- 1
Question #4)
Question #5)
Question #6)
C4: |z - 3| = 3
C5: Iz + 2i| = 2.5
C6: Iz + 2 - 2i| = 3
de
Question #7)
12 - sin e
sin? 0
-27
Question #8)
de
5 + 2 cos 0
1.
Question #9)
dx
x2 + 2x + 10
1.
Question #10)
x3 - x2 - x - 15 dx
All answers to the Blackboard thing are multiple choice.
Note Well! The answers are the ABSOLUTE VALUE of the integral.
Transcribed Image Text:Evaluate the following integrals using Cauchy Residue Theory. All closed contours are traversed CCw. z + 3 For problems 1-3, evaluate I = 0 dz on the given contours. (z - 1)(z + 2)2 Question #1) Question #2) Question #3) C;: Iz - 2i + 1| = 3 C2: Iz - il = 3 C3: |z + = 1 1 dz on the given contours. For problems 4 - 6, evaluate I = - 1 Question #4) Question #5) Question #6) C4: |z - 3| = 3 C5: Iz + 2i| = 2.5 C6: Iz + 2 - 2i| = 3 de Question #7) 12 - sin e sin? 0 -27 Question #8) de 5 + 2 cos 0 1. Question #9) dx x2 + 2x + 10 1. Question #10) x3 - x2 - x - 15 dx All answers to the Blackboard thing are multiple choice. Note Well! The answers are the ABSOLUTE VALUE of the integral.
Question 4)
Choose |/| from the following:
а. 12414
b. 1.2911
c. 13427
d. 13964
e. 14523
f. 15104
g. 15708
h. 1.6336
Question 5)
a. 1.3964
b. 1.4523
c. 15104
d. 1.5708
e. 1.6336
f. 1.6990
g. 1.7669
h. 1.8376
Choose |1| from the following:
Question 6)
a. 1.8989
Choose || from the following:
b. 1.9748
c. 2.0538
d. 2.1360
e. 2.2214
f. 2.3 103
g. 2.4027
h. 2.4988
Transcribed Image Text:Question 4) Choose |/| from the following: а. 12414 b. 1.2911 c. 13427 d. 13964 e. 14523 f. 15104 g. 15708 h. 1.6336 Question 5) a. 1.3964 b. 1.4523 c. 15104 d. 1.5708 e. 1.6336 f. 1.6990 g. 1.7669 h. 1.8376 Choose |1| from the following: Question 6) a. 1.8989 Choose || from the following: b. 1.9748 c. 2.0538 d. 2.1360 e. 2.2214 f. 2.3 103 g. 2.4027 h. 2.4988
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