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3. Use the inequality | fc f(z)dz] ≤ maxzec f(z) x length of(C) to prove (a) Je, C: circle |z| = 3 traversed once; (b) | Jc Log(z)dz| ≤, C: arc eit, - ≤ t≤ ; (c) | Sc dz| ≤ 2³, C is the vertical line segment from z = R(> 0) to z = R+ 2πi. 3:

3. Use the inequality | fc f(z)dz] ≤ maxzec f(z) x length of(C) to prove (a) Je, C: circle |z| = 3 traversed once; (b) | Jc Log(z)dz| ≤, C: arc eit, - ≤ t≤ ; (c) | Sc dz| ≤ 2³, C is the vertical line segment from z = R(> 0) to z = R+ 2πi. 3:

Advanced Engineering Mathematics
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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parts 'a' to 'c'. thank you

3. Use the inequality fc f(z)dz| ≤ maxzec f(z) x length of(C) to prove (a) Je, C: circle |z| = 3 traversed once; (b) | Jc Log(z)dz| ≤ 2, C: arc eit, - ≤ t≤; (c) | Jc dz| ≤ 2, C is the vertical line segment from z = R(> 0) to z = R+ 2πi. īdz < e³z e²+1
Transcribed Image Text:3. Use the inequality fc f(z)dz| ≤ maxzec f(z) x length of(C) to prove (a) Je, C: circle |z| = 3 traversed once; (b) | Jc Log(z)dz| ≤ 2, C: arc eit, - ≤ t≤; (c) | Jc dz| ≤ 2, C is the vertical line segment from z = R(> 0) to z = R+ 2πi. īdz < e³z e²+1
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