#1. Evaluate S fizidz if f(z) = 2 +4 and C is 2 с (a) the semicircle. (b) the semicircle. #2. Evaluate #4. Let fiz) be the branch z-1+²= 2= 2 e FOST z = 2e¹d, 750527 #6. Find S. the Tide and е i #3. Evaluate ( ² + 2 ) dz, where C is the straight line path from I to 2. § #7. Find of с exp[(-1+i) logz], 12/30 cart and C is the positive oriented unit cipcle 121=1, find & fizidz #5. Show that of 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 1 z²+3 (Z²-4) (2+i) 211 2(2-3)2 данно отс dz Cos (2) dz dz where C is 121= ²/12. where C is 12-31=1.
#1. Evaluate S fizidz if f(z) = 2 +4 and C is 2 с (a) the semicircle. (b) the semicircle. #2. Evaluate #4. Let fiz) be the branch z-1+²= 2= 2 e FOST z = 2e¹d, 750527 #6. Find S. the Tide and е i #3. Evaluate ( ² + 2 ) dz, where C is the straight line path from I to 2. § #7. Find of с exp[(-1+i) logz], 12/30 cart and C is the positive oriented unit cipcle 121=1, find & fizidz #5. Show that of 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 1 z²+3 (Z²-4) (2+i) 211 2(2-3)2 данно отс dz Cos (2) dz dz where C is 121= ²/12. where C is 12-31=1.
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 number 3
![#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%2Fd14eefc8-ede1-4152-b21f-ef055954f507%2Ftrw07x_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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
