hello everyone, i need help with the following code.
i am trying to plot the boundary of the region that satisfies the following conditions:
solve and plot for x and y
x+y+e+t>=0
And
x*y-e*t>=0
where x and y are the two variables while e and t are two constants whose values has to vary in a range.
so far i have got (which is working fine for fixed e and t):
n= 101;
x = linspace(-100, 100, n);
y = linspace(-100, 100, n);
[X, Y] = meshgrid(x, y);
Z = zeros(n, n);
e= 10;
t=-25;
B = X + Y + e + t;
D = X.*Y - e.*t;
for i= 1:n
for j= 1:n
if B(i,j) >= 0
Z(i,j) = D(i,j);
else
Z(i,j) = -1;
end
end
end
v = [0,0];
contour(X,Y,Z,v, 'LineWidth', 1.5)
grid on
axis equal
xline(0, 'Color', 'k', 'LineWidth', 0.5);
yline(0, 'Color', 'k', 'LineWidth', 0.5);
now i would like to see the effects of the two constants e and t on the above mentioned boundary. i would like to plot different curves with varying e and t on the same graph but i am having troubles to understand an efficient way to do it.
e and t are two arrays such as linspace(-25, 25, 3), so i want to check how the plot evolves over 3x3 combiations of e and t.
i tried nesting for loops but it didn't work as i got a blank plot. could anybody please give me any suggestions as to do it with for loops or with any other way?
i know i could do it "manually", changing e and t every time and using hold on to plot the curves on the same figure but it is rather inefficient.
thanks to anyone who will help
