Problem 21 to evaluate the following integrals. sin 2z dz (62-)³ where C is the circle |z| = 3.
Problem 21 to evaluate the following integrals. sin 2z dz (62-)³ where C is the circle |z| = 3.
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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![i need solution of 22/ 24 plz
20.
21.
23.
24.
if C is the circle
(b) |z| = 2.
2 ln 2-2
Differentiate Cauchy's formula (3.9) or (3.10) to get
1
3
By differentiating n times,
n!
i fo
fo
f(n) (2)= 2πi
Ć
f(w) dw
(w - 2)²
obtain
f(w) dw
(w-2) n+1
Use Problem 21 to evaluate the following integrals.
sin 2z dz
22.
where C is the circle |z| = 3.
(62-T)³
e³dz
(z-In 2)4
cosh z dz
fo (2 in 2 - 2⁰
1
f(z) dz
or f'(a) = 2 i fc (2-a)²-
n!
f(z) dz
or f(n) (a) = 27 fo (2-a)^²+1
where C is the square in Problem 19.
where C is the circle |z| = 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0a3c19f-0ecb-43ef-8f62-48070c8bcd56%2F17fc1e1e-d983-4e7f-b733-6f9ced29c922%2Fdsz141_processed.jpeg&w=3840&q=75)
Transcribed Image Text:i need solution of 22/ 24 plz
20.
21.
23.
24.
if C is the circle
(b) |z| = 2.
2 ln 2-2
Differentiate Cauchy's formula (3.9) or (3.10) to get
1
3
By differentiating n times,
n!
i fo
fo
f(n) (2)= 2πi
Ć
f(w) dw
(w - 2)²
obtain
f(w) dw
(w-2) n+1
Use Problem 21 to evaluate the following integrals.
sin 2z dz
22.
where C is the circle |z| = 3.
(62-T)³
e³dz
(z-In 2)4
cosh z dz
fo (2 in 2 - 2⁰
1
f(z) dz
or f'(a) = 2 i fc (2-a)²-
n!
f(z) dz
or f(n) (a) = 27 fo (2-a)^²+1
where C is the square in Problem 19.
where C is the circle |z| = 2.
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