MATLAB Code Implementation for Plotting Multiple Graphs and 3D Surfaces

In this document, we need to complete the following three tasks: For Task 1: Plot y=sin(x) on the interval [0, 2π] in Figure Window No. 1. The curve should be green with a dash-dot line style, using asterisks (*) to mark coordinate points. We need to label "x-axis" in bold font near the x-axis, add the title "Sine Function" above the graph, strictly control equal scaling for x and y axes, and enable the grid. To enhance this plot, we can add additional details. For example, we can annotate above the graph that the curve represents the function y=sin(x), and label "0" on the left side of the x-axis and "2π" on the right side. The MATLAB implementation would use plot() function with 'g-.' for green dash-dot line, '*' marker, axis equal command for equal scaling, and grid on for grid display. For Task 2: Create four subplots in Figure Window No. 2. In the first and second subplots, we need to simultaneously plot y=x², y=-x², and y=x²*sin(x) on [0, 2π] using different methods, with appropriate labeling. We can use different colors and line styles to represent different curves, making the graph more vivid. In the third subplot, we need to plot a 3D curve. To provide more detail, we can add explanations such as titling the plot "3D Curve" and labeling the coordinate ranges for x, y, and z axes below the graph. We can also add annotations, such as marking the coordinates of the highest point on the y=x²*sin(x) curve. The code implementation would use subplot() to create multiple axes, plot3() for 3D curves, and text() or annotation() functions for labeling. For Task 3: In Figure Window No. 3, we need to divide the figure into five subplots and use plot3, mesh, meshc, meshz, and surf respectively to plot the spatial surface z=x*exp(-x²-y²) within the domain -5≤x,y≤5. We need to explain the differences between these methods and, in the subplot using surf, add a light source at position [1, 0.5, 2] and a colorbar using the spring colormap. To enhance these visualizations, we can add detailed explanations. For example, we can add titles above each subplot indicating the plotting method and color scheme used. We can also add an overall title above all subplots, such as "Spatial Surface Plotting Examples." These explanations will help readers better understand the graphs and master the methods for plotting spatial surfaces. The MATLAB code would employ meshgrid() to create coordinate matrices, different 3D plotting functions for each subplot, light() function for illumination, and colormap('spring') for color scheme.