How do I plot the intersections of two functions???

Hello,

I have been tasked with plotting two functions and having to find where the two intersect (F1 and F2).

Choose and define an appropriate time domain t to accommodate 8 relative maxima of s (t) for t> 0 and 8 relative maxima for t <0.

Put markers to emphasize the point of intersection between F1, F2 curve and print the results of those intersections. Calculate the lim s (t) for t-> 0 (0+ and 0-) analytically and compare this result to the Matlab curve

Thank you.

xmin=-5e-1; % min t...
xmax=5e-1; % max t...
xstep=0.001 ; % espacement t...
A=5;
b=20*2*pi;
x=xmin:xstep:xmax;

F1 = @(x) A*sin(b*x)./(b*x);
F2 = @(x) max(F1)/2 + 0*x;
                                

fcndif = @(x) F1(x) - F2(x);                            

zx = fcndif(x) .* circshift(fcndif(x), [0 -1]);         
gues = find(zx);                                  

for k1 = 1:length(gues)
    intsct(k1) = fzero(fcndif, x(gues(k1)));       
end

figure(1)
a=plot(x, F1(x),  x, F2(x))
set(a,'LineWidth',2)
set(gca,'FontSize',20)
xlabel('Axis [temps]')
ylabel('Axis [A]')
hold on
plot(intsct, F1(intsct), 'bp')
hold off
grid

Answer 1

[Ameer Hamza]

See this FEX package: https://www.mathworks.com/matlabcentral/fileexchange/22441-curve-intersections

[triet tran]

thank you, I read it yesterday but I don't understand it well.