f. Let fiz) be the branch 2-¹+² = exp[(-1+²) logz], 12100, 0
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
Solve 4
![#1. Evaluate S fizidz if f(z) =
с
(a) the semicircle
(b) the semicircle
#2. Evaluate
#6. Find
S.
S. the T² de and
dz
е
i
#7. Find
2=2e, FOST
2 = 2e¹d, T≤052π
#3. Evaluate √( ² + 2 ) dz, where C is the straight line path
from 1 to 2.
$
#4. Let fiz) be the branch
2+¹+² = exp[(+1+i) log 2], 12120, 0<arga < 211
z-iti
and C is the positive oriented unit cicle |2|=1₁
find & fizidz
$
2+4
2
#5. Show that & fiz) dz =0 where C is the circle /2/=/
in positive direction and when
(1) f(z) =
2²
2-4,
(b) f(²)= 2 ++22+2
ZH1
2(2-3)²
z²+3
(2²4)(2+i)
-π+zi
and C is
dz
Cos (2) dz
dz
where C is 121= 2/12.
where C is 12-31=1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeb81122-6fbf-4c63-aaf5-71689ff4fea7%2F86ad446c-77a9-41d9-a02f-ffa5d22fbd6c%2Fzgnj7c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:#1. Evaluate S fizidz if f(z) =
с
(a) the semicircle
(b) the semicircle
#2. Evaluate
#6. Find
S.
S. the T² de and
dz
е
i
#7. Find
2=2e, FOST
2 = 2e¹d, T≤052π
#3. Evaluate √( ² + 2 ) dz, where C is the straight line path
from 1 to 2.
$
#4. Let fiz) be the branch
2+¹+² = exp[(+1+i) log 2], 12120, 0<arga < 211
z-iti
and C is the positive oriented unit cicle |2|=1₁
find & fizidz
$
2+4
2
#5. Show that & fiz) dz =0 where C is the circle /2/=/
in positive direction and when
(1) f(z) =
2²
2-4,
(b) f(²)= 2 ++22+2
ZH1
2(2-3)²
z²+3
(2²4)(2+i)
-π+zi
and C is
dz
Cos (2) dz
dz
where C is 121= 2/12.
where C is 12-31=1.
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