a) Find all zeros of the polynomial Q(z) = z4 + 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
a) Find all zeros of the polynomial Q(z) = z4 + 1.
(b) Calculate the integral
1
Lede
-dx
+1
by integrating over the perimeter of a half-disk centered at 0 and a ray r
that lies at the top the half-plane and then let r → ∞.
Transcribed Image Text:a) Find all zeros of the polynomial Q(z) = z4 + 1. (b) Calculate the integral 1 Lede -dx +1 by integrating over the perimeter of a half-disk centered at 0 and a ray r that lies at the top the half-plane and then let r → ∞.
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