MATLAB WEEK-2

MATLAB

Plotting of curves and surfaces

Week: 2

METHOD 1

x=linspace(0,1,101)

plot(x,x.^3,'r+',x,sin(x),'b-',x,exp(x),'g.')

METHOD 2

using Hold on

clear all

x=linspace(0,1,101)

plot(x,x^3,'r*')

hold on

plot(x,sin(x),'g.')

hold on

plot (x,exp(x),'b+')

If we remove hold on, only last graph will be displayed.

METHOD 3

using subplot

x=0:.1:2*pi;

subplot(2,2,1);

plot (x,sin(x));

subplot(2,2,2);

plot(x,cos(x));

subplot(2,2,3);

plot(x,exp(-x));

subplot(2,2,4);

plot(x,sin(3*x));

Diffrentiation

syms x y

f=x^2+2*x*y+y*sin(x)

diff(f,x)

diff(f,y)

f =2*x*y + y*sin(x) + x^2

ans =

2*x + 2*y + y*cos(x)

ans =

2*x + sin(x)

Integration

syms x

f=x^3 + 3*x^2 + 5*x + 12

int(f,x,0,2)

f =

x^3 + 3*x^2 + 5*x + 12

ans =

46

Plotting graph

syms x

f=sin(2*x)+ cos(3*x)

ezplot(f)

3 Dimension graph

t=linspace(0,2*pi,500);

x=cos(t);

y=sin(t);

z=sin(5*t);

comet3(x,y,z)

plot3(x,y,z,'g*','markersize',7)

xlabel('x-axis')

ylabel('y-axis')

zlabel('z-axis')

title('3D Curve')