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partial fraction expansion lab report
Lab Data
Trial License -- for use to evaluate programs for possible purchase as an end-user only.
b=[-4 8]; a=[1 6 8];
[r,p,k]=residue(a,b)
r =
-6
p =
2
k =
-0.2500 -2.0000
b=[-4 8]; a=[1 6 8];
[r,p,k]=residue(b,a)
r =
-12
8
p =
-4
-2
k =
[]
syms s
f=(s+1)(s^2+6s+10)
f=(s+1)(s^2+6s+10)
?
Error: Unbalanced or unexpected parenthesis or bracket.
Did you mean:
f = (s + 1)*(s^2 + 6*s + 10)
f =
(s + 1)*(s^2 + 6*s + 10)
collect f
Undefined function 'collect' for input arguments of type 'char'.
collect(f)
ans =
s^3 + 7*s^2 + 16*s + 10
b=[3 6 6]; a=[1 7 16 10];
[r,p,k]=residue(a,b)
r =
0.6667 + 0.6667i
0.6667 - 0.6667i
p =
-1.0000 + 1.0000i
-1.0000 - 1.0000i
k =
0.3333 1.6667
b=[]; a=[];
[r,p,k]=residue(a,b)
Index exceeds matrix dimensions.
Error in residue (line 86)
u = u ./ v(1); v = v ./ v(1); % Normalize.
b=[3 6 6]; a=[1 7 16 10];
[r,p,k]=residue(a,b)
r =
0.6667 + 0.6667i
0.6667 - 0.6667i
p =
-1.0000 + 1.0000i
-1.0000 - 1.0000i
k =
0.3333 1.6667
b=[3 6 6]; a=[1 7 16 10];
[r,p,k]=residue(b,a)
r =
1.2000 + 3.6000i
1.2000 - 3.6000i
0.6000 + 0.0000i
p =
-3.0000 + 1.0000i
-3.0000 - 1.0000i
-1.0000 + 0.0000i
k =
[]
a=[1]; b=[1 1];
[r,p,k]=residue(a,b)
r =
1
p =
-1
k =
[]
syms s
f=s*(s+1)*(s+5)
f =
s*(s + 1)*(s + 5)
collect(f)
ans =
s^3 + 6*s^2 + 5*s
a=[5]; b=[1 6 5 0];
[r,p,k]=residue(a,b)
r =
0.2500
-1.2500
1.0000
p =
-5
-1
0
k =
[]
c,,,
a=[3 2]; b=[1 2 10];
[r,p,k]=residue(a,b)
Undefined function or variable 'c'.
a=[3 2]; b=[1 2 10];
[r,p,k]=residue(a,b)
r =
1.5000 + 0.1667i
1.5000 - 0.1667i
p =
-1.0000 + 3.0000i
-1.0000 - 3.0000i
k =
[]
a=[1]; b=[1 0 16];
[r,p,k]=residue(a,b)
r =
0.0000 - 0.1250i
0.0000 + 0.1250i
p =
0.0000 + 4.0000i
0.0000 - 4.0000i
k =
[]
syms s
f=(s+1)*(s^2+16)
f =
(s^2 + 16)*(s + 1)
collect(f)
ans =
s^3 + s^2 + 16*s + 16
a=[2 6]; b=[1 1 16 16];
[r,p,k]=residue(a,b)
r =
-0.1176 - 0.2794i
-0.1176 + 0.2794i
0.2353 + 0.0000i
p =
0.0000 + 4.0000i
0.0000 - 4.0000i
-1.0000 + 0.0000i
k =
[]
a=[1 1]; b=[1 0 0];
[r,p,k]=residue(a,b)
r =
1
1
p =
0
0
k =
[]
a=[1]; b=[1 0 0 0 0 0 0];
[r,p,k]=residue(a,b)
r =
0
0
0
0
0
1
p =
0
0
0
0
0
0
k =
[]
a=[4]; b=[1 0 0 0 4];
[r,p,k]=residue(a,b)
r =
-0.2500 - 0.2500i
-0.2500 + 0.2500i
0.2500 - 0.2500i
0.2500 + 0.2500i
p =
1.0000 + 1.0000i
1.0000 - 1.0000i
-1.0000 + 1.0000i
-1.0000 - 1.0000i
k =
[]