Lab tasks:
1. B=[60:0.1:70]
Answer:
B=
Columns 1 through 8
60.0000 60.1000 60.2000 60.3000 60.4000 60.5000 60.6000 60.7000
Columns 9 through 16
60.8000 60.9000 61.0000 61.1000 61.2000 61.3000 61.4000 61.5000
Columns 17 through 24
61.6000 61.7000 61.8000 61.9000 62.0000 62.1000 62.2000 62.3000
Columns 25 through 32
62.4000 62.5000 62.6000 62.7000 62.8000 62.9000 63.0000 63.1000
Columns 33 through 40
63.2000 63.3000 63.4000 63.5000 63.6000 63.7000 63.8000 63.9000
Columns 41 through 48 64.0000 64.1000 64.2000 64.3000 64.4000 64.5000 64.6000 64.7000
Columns 49 through 56
64.8000 64.9000 65.0000 65.1000 65.2000 65.3000 65.4000 65.5000
Columns 57 through 64
65.6000 65.7000 65.8000 65.9000 66.0000 66.1000 66.2000 66.3000
Columns 65 through 72
66.4000 66.5000 66.6000 66.7000 66.8000 66.9000 67.0000 67.1000
Columns 73 through 80
67.2000 67.3000 67.4000 67.5000 67.6000 67.7000 67.8000 67.9000
Columns 81 through 88
68.0000 68.1000 68.2000 68.3000 68.4000 68.5000 68.6000 68.7000
Columns 89 through 96
68.8000 68.9000 69.0000 69.1000 69.2000 69.3000 69.4000 69.5000
Columns 97 through 101
69.6000 69.7000 69.8000 69.9000 70.0000
2. V=[3 3 3;4 4 4;5 5 5] 3. H=[2 3 4 6;5 4 3 5;6 7 8 3;8 7 4 8]
G=[3 5 6;3 8 9;9 5 4] Ans;
Y= V*G H=
Ans; 2 3 4 6
V= 5 4 3 5
3 3 3 6 7 8 3
4 4 4 8 7 4 8
5 5 5
G= 4. K=eye(3)
3 5 6 ans;
3 8 9 K=
9 5 4 1 0 0
Y= 0 1 0
45 54 57 0 0 1
60 72 76
75 90 95
5. X=abs(k) 6. Y=sin t/t,0<t<5
Sol:x =1 0 0 sol: t=0:0.005:5;
0 1 0 y=sin(t)./t;
0 0 1 plot(t,y);
xlabel('Time');
ylabel('amplitude');
title('sink function');
7.y=Acos(2nft),where 0<t<5,f=1,A=10 8.y=e^2t,0<t<5
Sol; A=10; sol; t=0:0.005:5;
f=1; y=exp(2*t);
plot(t,y);
t=0:0.005:5; xlabel('Time');
y=A*cos(2*pi*f*t); ylabel('Amplitude');
plot(t,y); title('Exponention');
xlabel('Time');
ylabel('Amplitude');
title('Cos funtion');
grid on
9.
>> roots_p=roots([2, 3, 1]);
roots_q=roots([1, -5, 6]);
product=conv([2, 3, 1],[1, -5, 6]);
p_minus1=polyval([1, -5, 6],6);
p_derivative=polyder([2, 3, 1]);
q_derivative=polyder([1, -5, 6]);
>> roots_p
roots_p =
-1.0000
-0.5000
>> roots_q
roots_q =
3.0000
2.0000
>> product
product =
2 -7 -2 13 6
>> p_minus1
p_minus1 =
12
>> p_derivative
p_derivative =
4 3
>> q_derivate
Undefined function or variable 'q_derivate'.
>> q_derivative
q_derivative =
2 -5
10.Create a figure divided into four subplots.Plot the
eight sine waves and title each subplot.
Sol: y1=sin(x);
>> y2=sin(2*x);
>> y3=sin(4*x);
>> y4=sin(8*x);
>> subplot(2,2,1)
>> plot(x,y1)
>> title('subplot 1:sin(x)')
>> subplot(2,2,2)
>> plot(x,y2)
>> title('subplot 2:sin(2x)')
>> subplot(2,2,3)
>> plot(x,y3)
>> title('subplot:3:sin(4x)')
>> subplot(2,2,4)
>> plot(x,y4)
>> title('subplot 4:sin(8x)')
11.Define a vector of cos values and a vector of polynomial values.Plot the polynomial in the first
subplot and cos wave in the second subplot.Create a third subplot that spans the lower half of the figure
and plot both vectors together.
Sol: x=linspace(-3.8,3.8);
>> y_cos=cos(x);
>> y_poly=1-x.^2./2+x.^4./24;
>> subplot(2,2,1);
>> plot(x,y_cos);
>> title('Subplot 1:Cosine')
>> subplot(2,2,2);
>> plot(x,y_poly,'g');
>> title('Subplot 2:polynomial')
>> subplot(2,2,[3,4]);
>> plot(x,y_cos,'b',x,y_poly,'g');
>> title('Subplot 3 and 4:both')
