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    1. Here’s an example of MATLAB code to plot a hyperbola and its asymptotes:

      % Define parameters
      a = 2; % Semi-major axis
      b = 1; % Semi-minor axis
      center = [0, 0]; % Center of the hyperbola

      % Generate points for the hyperbola
      theta = linspace(0, 2*pi, 1000);
      x = a * cosh(theta);
      y = b * sinh(theta);

      % Plot the hyperbola
      plot(x, y);
      hold on;
      plot(x, -y); % Other branch of the hyperbola

      % Plot asymptotes
      asymptote1 = (b/a) * x;
      asymptote2 = -(b/a) * x;
      plot(x, asymptote1, ‘–‘, ‘Color’, [0.5 0.5 0.5]);
      plot(x, asymptote2, ‘–‘, ‘Color’, [0.5 0.5 0.5]);

      % Set axis labels and title
      title(‘Plot of a Hyperbola and Asymptotes’);

      % Set axis equal and grid
      axis equal;
      grid on;

      % Add legend
      legend(‘Branch 1’, ‘Branch 2’, ‘Asymptotes’);

      % Show the plot
      hold off;
      In this code, we first define the parameters of the hyperbola, such as the semi-major axis a, semi-minor axis b, and center coordinates. We then generate points for the hyperbola using the parametric equations of the hyperbola in terms of cosh and sinh functions. We plot both branches of the hyperbola along with their asymptotes.

      You can modify the parameters a and b to change the shape of the hyperbola. Running this code in MATLAB will produce a plot of the hyperbola and its asymptotes.

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