Apply Argument principle to evaluate the following: f'(z) -dz, where f (z) : f(z) Izl=3 z?(z – 1)? 5 (z + 2i)³ (z – 16)² 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Apply Argument principle to evaluate the following:
f'(z)
-dz, where f (z) :
f (z)
1리=3
z?(z – 1)?
5 (z + 2i)³ (z – 16)²
1.
z°(z – 8)3
f'(z)
-dz, where f(z) =
f (2)
Iz/=5
2.
(z – 4)* (z + 2)²(z – 7i)3
-
3. Determine the number of zero's for
h(z) = z6 – 5z4 + z³ – 2z inside the disk |z| = 1.
-
Transcribed Image Text:Apply Argument principle to evaluate the following: f'(z) -dz, where f (z) : f (z) 1리=3 z?(z – 1)? 5 (z + 2i)³ (z – 16)² 1. z°(z – 8)3 f'(z) -dz, where f(z) = f (2) Iz/=5 2. (z – 4)* (z + 2)²(z – 7i)3 - 3. Determine the number of zero's for h(z) = z6 – 5z4 + z³ – 2z inside the disk |z| = 1. -
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