Compute 25 dz, I, (z2 – 3)(z³ + 1)(z+8) where y is defined by z(t) = 2 eit, t e [0, 27]. Hint: in order to avoid getting lost in many calculations, it may be very useful to take advantage of the following fact seen in class. If f is a holomorphic function in C\{z1,.., ZN}, then N Res(f, zk) + Res(f, ∞) = 0. k=1
Compute 25 dz, I, (z2 – 3)(z³ + 1)(z+8) where y is defined by z(t) = 2 eit, t e [0, 27]. Hint: in order to avoid getting lost in many calculations, it may be very useful to take advantage of the following fact seen in class. If f is a holomorphic function in C\{z1,.., ZN}, then N Res(f, zk) + Res(f, ∞) = 0. k=1
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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![Compute
25
dz,
I, (z2 – 3)(23 + 1)(z+8)
where y is defined by z(t) = 2 eit, t E [0, 27]. Hint: in order to avoid getting lost in many
calculations, it may be very useful to take advantage of the following fact seen in class. If
f is a holomorphic function in C \{z1,..., ZN}, then
N
Res(f, zk) + Res(f, ∞) = 0.
k=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe15ed467-90ec-4e60-afef-3d3f6119f74d%2Fa88d5242-646d-4cbc-a25c-ea1f5d0daff0%2Fn5vg9ir_processed.png&w=3840&q=75)
Transcribed Image Text:Compute
25
dz,
I, (z2 – 3)(23 + 1)(z+8)
where y is defined by z(t) = 2 eit, t E [0, 27]. Hint: in order to avoid getting lost in many
calculations, it may be very useful to take advantage of the following fact seen in class. If
f is a holomorphic function in C \{z1,..., ZN}, then
N
Res(f, zk) + Res(f, ∞) = 0.
k=1
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