Matlab file
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This document contains code to simulate various mathematical functions and experiments using MATLAB. It includes code to plot a circle, straight line, calculate distance between points, plot parabolas and hyperbolas. It also includes code for a factorial calculation experiment and using the Monte Carlo method to estimate pi. Finally, it simulates a random walk experiment to model the movement of a drunk person.
![Syntax for Hyperbola
clear all
clc
a=22
b=15
y=[0:1:40]
x=(b/a)*((y.^2-(a.^2)).^(1/2))
plot(x,y)
figure](https://image.slidesharecdn.com/matlabfile-converted-200411202740/85/Matlab-file-6-320.jpg)
![Experiment No.-
OBJETC
simulation of random walk problem of the drunkard man with the
the help of random numbers
clc
clear all
n=1;
x=[];
y=[];
x(n)=0
y(n)=0
for n=1:9000
r=round(100*rand(1))
if r==100
r=r-1
end
if r>=00 && r<=47
x(n+1)=x(n);
y(n+1)=y(n)+1;
continue
end
if r>=47 && r<=72
x(n+1)=x(n)+1;
y(n+1)=y(n);
continue
end
if r>=73 && r<=97
x(n+1)=x(n)-1;
y(n+1)=y(n);
continue
end
if r>=98 && r<=99
x(n+1)=x(n);
y(n+1)=y(n)-1;
continue
end
end
plot(x,y)](https://image.slidesharecdn.com/matlabfile-converted-200411202740/85/Matlab-file-9-320.jpg)
Matlab file
- 1. Experiment No.-1 OBJECT- To Draw an Ellipse,Parabola,Hyperbola and Circle Syntax for circle clear all clc r=5 theta=(1:1:360) x=r*cosd(theta) y=r*sind(theta) plot(x,y) Figure of circle
- 2. Syntax for straight Line clear all clc x=(1:1:10) y=5*x+4 plot(x,y) Figure
- 3. Syntax for distance between two coordinate points clear all clc x1=input('enter the value of x1:n') x2=input('enter the value of x2:n') y1=input('enter the value of y1:n') y2=input('enter the value of y2:n') d=sqrt(((x2.^2)-(x1.^2))+(y2.^2)-(y1.^2)) it can be run in this manner enter the value of x1: 5 x1 =5 enter the value of x2: 4 x2 =4 enter the value of y1: 8 y1 =8 enter the value of y2: 9 y2 =9 d = 2.8284
- 4. Syntax For Parabola clear all clc a=5 x=(1:1:10) y=(4*a*x).^(1/2) plot(x,y) Figure
- 5. Syntax for parabola clear cll clc a=7 y=(1:1:20) x=(4*a*y).^(1/2) plot(x,y)
- 6. Syntax for Hyperbola clear all clc a=22 b=15 y=[0:1:40] x=(b/a)*((y.^2-(a.^2)).^(1/2)) plot(x,y) figure
- 7. EXPERIMENT NO.-3 OBJECT-To find the factorial of a user defined number Syntax of the programme clc clear all n=input('input the number/n'); factorial=1; for i=1:n factorial=factorial*i; end fprintf('factorial of %d is:%dn',n,factorial) When we run it, it will show input the number/n e.g. input the number/n5 factorial of 5 is:120
- 8. Experiment no.-5 Object-to find the value of pi using Monte Carlo method clear all clc r=1 M=0;N=0; for i=1:20000 x=rand(1); y=rand(1); Y2=(1-x^2)^0.5 if Y2<y N=N+1 else M=M+1 end end display('value found by MONTE CARLO SIMULATION') pi=4*M/(M+N)
- 9. Experiment No.- OBJETC simulation of random walk problem of the drunkard man with the the help of random numbers clc clear all n=1; x=[]; y=[]; x(n)=0 y(n)=0 for n=1:9000 r=round(100*rand(1)) if r==100 r=r-1 end if r>=00 && r<=47 x(n+1)=x(n); y(n+1)=y(n)+1; continue end if r>=47 && r<=72 x(n+1)=x(n)+1; y(n+1)=y(n); continue end if r>=73 && r<=97 x(n+1)=x(n)-1; y(n+1)=y(n); continue end if r>=98 && r<=99 x(n+1)=x(n); y(n+1)=y(n)-1; continue end end plot(x,y)