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

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 53PS
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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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