a)
Coding
p=[1 2 1];
q=[0 1 1];
x=p.*q;
x
Result
x =
0 2 1
b)
Coding
Rp = roots(p)
Result
Rp =
-1
-1
……………………………………………….……………………………………………………
c)
Coding
s = -1 ;
p = s.^2 + 2*s + 1
result
p =
0
Coding
s = 6 ;
p = s + 1
Result
p =
7
a)
Coding
b=[2 5 3 6 ];
a=[1 6 11 6];
[r,p ,k]=residue(b,a)
Results
r =
-6.0000
-4.0000
3.0000
p =
-3.0000
-2.0000
-1.0000
k =
2
…………………………………..
b)
Coding
b=[2 2 3];
a=([1 1]).^3;
[r,p ,k]=residue(b,a)
Results
r =
3
p =
-1
k =
2
…………………………………..
Coding
p=2.9;
n(1)=0.5;
for(x=1:100)
a(x+1)=p*n(x)*(1-n(x));
n(x+1)=a(x+1);
end
z=[n(1) a(1,2:100)]
Result
z =
Columns 1 through 6
0.5000 0.7250 0.5782 0.7073 0.6004 0.6958
Columns 7 through 12
0.6139 0.6874 0.6232 0.6810 0.6300 0.6760
Columns 13 through 18
0.6352 0.6720 0.6392 0.6688 0.6424 0.6662
Columns 19 through 24
0.6449 0.6641 0.6469 0.6624 0.6485 0.6611
Columns 25 through 30
0.6498 0.6600 0.6508 0.6591 0.6516 0.6583
Columns 31 through 36
0.6523 0.6577 0.6529 0.6572 0.6533 0.6568
Columns 37 through 42
0.6537 0.6565 0.6539 0.6563 0.6542 0.6561
Columns 43 through 48
0.6544 0.6559 0.6545 0.6558 0.6546 0.6556
Columns 49 through 54
0.6547 0.6556 0.6548 0.6555 0.6549 0.6554
Columns 55 through 60
0.6549 0.6554 0.6550 0.6553 0.6550 0.6553
Columns 61 through 66
0.6551 0.6553 0.6551 0.6553 0.6551 0.6552
Columns 67 through 72
0.6551 0.6552 0.6551 0.6552 0.6551 0.6552
Columns 73 through 78
0.6551 0.6552 0.6551 0.6552 0.6552 0.6552
Columns 79 through 84
0.6552 0.6552 0.6552 0.6552 0.6552 0.6552
Columns 85 through 90
0.6552 0.6552 0.6552 0.6552 0.6552 0.6552
Columns 91 through 96
0.6552 0.6552 0.6552 0.6552 0.6552 0.6552
Columns 97 through 100
0.6552 0.6552 0.6552 0.6552
Coding
a)
syms y0 e w t th
y=y0*exp(-e*w.*t)* sin(w*sqrt(1-e^2).*t+th)/sqrt(1-e)
Result
y =
(y0*exp(-e*t*w)*sin(th + t*w*(1 - e^2)^(1/2)))/(1 - e)^(1/2)
b)
CASE_01
Coding
syms y0 e w t th
y=y0*exp(-e*w.*t)* sin(w*sqrt(1-e^2).*t+th)/sqrt(1-e);
T=0:0.1:10;
r=subs(y,{y0,e,w,t,th},{0.15,3/(2*sqrt(2)),sqrt(2),T,0});
plot(T,r)
xlabel('TIME AXIS')
ylabel('OUTPUT')
title('CASE 01')
Result
a)
CASE_02
Coding
syms y0 e w t th
y=y0*exp(-e*w.*t)* sin(w*sqrt(1-e^2).*t+th)/sqrt(1-e);
T=0:0.1:10;
r=subs(y,{y0,e,w,t,th},{0.15,1/(2*sqrt(2)),sqrt(2),T,0}) ;
plot(T,r)
xlabel('TIME AXIS')
ylabel('OUTPUT')
title('CASE 02')
Result
Coding
Tf=0;
x=1;;
while(Tf<201)
Tc(x)=Tf*5/9-32;
x=x+1;
Tf=Tf+10;
end
Tc
Result
Tc =
Columns 1 through 6
-32.0000 -26.4444 -20.8889 -15.3333 -9.7778 -4.2222
Columns 7 through 12
1.3333 6.8889 12.4444 18.0000 23.5556 29.1111
Columns 13 through 18
34.6667 40.2222 45.7778 51.3333 56.8889 62.4444
Columns 19 through 21
68.0000 73.5556 79.1111
Coding
syms n;
y=exp(-n)*sin(8*n);
n=0:0.1:2*pi;
r=subs(y,n);
plot(n,r);
xlabel('TIME ASIX');
ylabel('Y(X)');
title('OUTPUT');
Result
