Find the roots, poles and remainder for the following expressions: 3z4 – 11z3 + 0.88z² – 2.396z + 1.348 z3 – 0.7z2 – 0.14z + 0.048 | a) 4z2 – 2.8z + 84.4 b) - z3 + 1.2z2 – 11.8z – 2.4 4z + 3 c) 2z3 – 3.4z2 + 1.98z – 0.406 -
Find the roots, poles and remainder for the following expressions: 3z4 – 11z3 + 0.88z² – 2.396z + 1.348 z3 – 0.7z2 – 0.14z + 0.048 | a) 4z2 – 2.8z + 84.4 b) - z3 + 1.2z2 – 11.8z – 2.4 4z + 3 c) 2z3 – 3.4z2 + 1.98z – 0.406 -
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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Transcribed Image Text:Find the roots, poles and remainder for the following expressions:
3z4 – 11z3 + 0.88z² – 2.396z + 1.348
z3 – 0.7z2 – 0.14z + 0.048
a)
-
4z2 – 2.8z + 84.4
b)
z3 + 1.2z? – 11.8z – 2.4
4z + 3
c)
2z3 – 3.4z2 + 1.98z – 0.406
![1 %Enter polynomial num and den for item a:
2 numa =
[3 -11 0.88 -2.396 1.348]
3 dena =
[0 1 -0.7 -0.14 0.048]
4 %Solve for r,p,k for item a:
5 [ra,pa, ka]
residue (numa, dena)
6 %Enter polynomial num and den for item b:
[0 4 -2.8 84.4]
[1 1.2 -11.8 -2.4]
7 numb =
8 denb =
9 %Solve for r,p,k for item b:
10 [rb,pb, kb]
residue (numb, denb)
11 %Enter polynomial num and den for item c:
12 numc = [0 0 4 3]
13 denc =
[2 -3.4 1.98 -0.406]
14 %Solve for r,p,k for item c:
15 [rc, pc,kc]
residue (numc, denc)
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c050e64-30f2-4446-aad7-76ff211706ca%2F4ca0aae3-783a-4f10-802d-c256a0eccc07%2Fvueeo4o_processed.png&w=3840&q=75)
Transcribed Image Text:1 %Enter polynomial num and den for item a:
2 numa =
[3 -11 0.88 -2.396 1.348]
3 dena =
[0 1 -0.7 -0.14 0.048]
4 %Solve for r,p,k for item a:
5 [ra,pa, ka]
residue (numa, dena)
6 %Enter polynomial num and den for item b:
[0 4 -2.8 84.4]
[1 1.2 -11.8 -2.4]
7 numb =
8 denb =
9 %Solve for r,p,k for item b:
10 [rb,pb, kb]
residue (numb, denb)
11 %Enter polynomial num and den for item c:
12 numc = [0 0 4 3]
13 denc =
[2 -3.4 1.98 -0.406]
14 %Solve for r,p,k for item c:
15 [rc, pc,kc]
residue (numc, denc)
%3D
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