1 dz, C:k – 3i] = 3 z² +4z + 13
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Engineering analysis
![Q30] use Cauchy's residue theorem to evaluate the given integral along
the indicated contour.
Complex Variable Theory
(Problems)
Assist. Prof. Dr. Husham L. Swadi - Electrical Engineering
Department 2021/2022
1
dz, C: k – 3i| = 3
Jcz² + 4z + 13
1
dz, C: k - 2 =
dz, C: Izl = 2
Jcz - 1
dz, C is the ellipse 16x + y = 4
Y.(z + 1)(z? + 1)
ze?
dz, C: Iz| = 2
Jcz? - 1
e?
dz, C: Izl = 3
tanz
dz, C: z- 1| = 2
cot rz
dz, C: kl = }
cot Tz dz, Cis the rectangle defined byx=,x=7,y= -1,
y = 1
I 2z - 1
Ye z(z + 1)
y = -1, y = 1
Let + sinz
Jc (z - 7)*
dz, Cisthe rectangle defined by x = -2, x= 1,
dz, C: k – 3| = 1
cosz
dz, C: z – 1| = 1
Jc (z – 1(z² + 9)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e6a50c7-783a-41b3-94f7-9ff370886e5c%2F702ffa99-af2c-45e8-a762-91e9ae830b2b%2Fy81akn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q30] use Cauchy's residue theorem to evaluate the given integral along
the indicated contour.
Complex Variable Theory
(Problems)
Assist. Prof. Dr. Husham L. Swadi - Electrical Engineering
Department 2021/2022
1
dz, C: k – 3i| = 3
Jcz² + 4z + 13
1
dz, C: k - 2 =
dz, C: Izl = 2
Jcz - 1
dz, C is the ellipse 16x + y = 4
Y.(z + 1)(z? + 1)
ze?
dz, C: Iz| = 2
Jcz? - 1
e?
dz, C: Izl = 3
tanz
dz, C: z- 1| = 2
cot rz
dz, C: kl = }
cot Tz dz, Cis the rectangle defined byx=,x=7,y= -1,
y = 1
I 2z - 1
Ye z(z + 1)
y = -1, y = 1
Let + sinz
Jc (z - 7)*
dz, Cisthe rectangle defined by x = -2, x= 1,
dz, C: k – 3| = 1
cosz
dz, C: z – 1| = 1
Jc (z – 1(z² + 9)
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