$3)$ visualize data $(20$ points$)$

$$generate a plot to display f$1,$ f$2,$ f$3$ and f$4$ over x

$$detailed steps:

$-$ generate a new figure using the function plt$.$figure and set the figure size to figsize$=(10,6)$

$-$ plot f$1,$ f$2,$ f$3$ and f$4$ over x$[0,$:$]$ and set the labels to $\text{'}$f $=50$ kHz$\text{'},\text{'}$f $=100$ kHz$\text{'},\text{'}$f $=150$ kHz$\text{'},$ and $\text{'}$f $=200$ kHz$\text{'}$

$$

$-$ set the plot title to 'amplitude development vs x for select frequencies'

$-$ switch on the grid

$-$ set the x$-$axis limits from $0$ to $1$e$-2$

$-$ set the y$-$axis limits from $0$ to $2$

$-$ set the x$-$label to $\text{'}$x$\text{'}$ with fontsize $20$

$-$ set the y$-$label to 'amplitude' with fontsize $20$

$-$ use the tight$\_$layout function to ensure that all parts of the plot are displayed in the window

$-$ add a legend to the plot in the upper left corner

$-$ export the figure to a file named 'amplitude$\_$vs$\_$x$.$png$\text{'}$ with a resolution of $300$ dpi

$$generate a $2$d contour plot with filled contours $($hint contourf command, lecture $14)$

$$detailed instructions:

$-$ plot p as a function of x and t

$-$ get the axis properties $($ax $=$ gca$)$

$-$ customize the plot as follows

$*$ set the tick labels to fontsize $20$

$*$ set the x$-$label to x with fontsize $20$

$*$ set the y$-$label to y with fontsize $20$

$*$ set the x$-$limits from $0$ to $1$e$-2$

$*$ set the y$-$limits frmo $0$ to $1$e$-4$

$*$ add a colorbar

$*$ ensure that verything is displayed within the available window using the tight$\_$layout function

$*$ set the plot title to $\text{'}$x$-$t diagram'

$-$ save the $2$d contour plot as a figure with the name $\text{'}$xt$.$png$\text{'}$

$-$ show the plots $($plt$.$show$())$

$1$d plot

$2$d plot

$$display plots

Python Code