Question

1. Write a code to draw a ‘mesh' graph of following function f(x,y)= xy x > 0, y 0 xy2 x 20, y = 0 x<0, y=0 (x?y2 x <0, y < 0 x? y Hint) You need to use “meshgrid', ‘for’and ‘if' commands (30 points)

Answer 1

Matlab Program:

clear
clc
close all
% assuming x and y data
X=-5:5;
Y=-5:5;
% mesh grid
[x,y]=meshgrid(X,Y);
[m,n]=size(x);
f=zeros(m,n);
for i=1:m
for j=1:n
if x(i,j)>=0 && y(i,j)>=0
f(i,j)=x(i,j)*y(i,j);
elseif x(i,j)>=0 && y(i,j)<=0
f(i,j)=x(i,j)*y(i,j)^2;
elseif x(i,j)<0 && y(i,j)>=0
f(i,j)=x(i,j)^2*y(i,j);
elseif x(i,j)<0 && y(i,j)<0
f(i,j)=x(i,j)^2*y(i,j)^2;
end
end
end
% graph
mesh(x,y,f)

Screenshot:

1 I 4 5 - 6 8 - 10 11 - clear clc close all $ assuming x and y data X=-5:5; Y=-5:5; mesh grid [x, y]=meshgrid(X,Y); [m, n]=size (x); f=zeros (m,n); for i=l:m for j=1:n if x(i, j)>=0 && y(i, j)>=0 f(1,1)=x(1,3)*v(1,3); elseif x(1,1)>=0 && y(i, j)<=0 f(1,1)=x(i,j)*y(i,j)^2; elseif x(i,])<0 && y(i,)>=0 f(1,3)=x(1,3)^2*y(1,1); elseif xli,])<0 && y(i,j)<0 f(1,3)=x(1,3)^2*y(1, 1)^2; end 12 13 14 - . ch 16 - 17 - 18 - 19 - 1 20 21 end 22 23 24 - end graph mesh (x, y, 1) 25 -

Save the above program and execute it.

Result:

I hope this will help you.