$1\mathrm{.}2$ Plotting discrete data and continuous functions

Jupyter Notebook $1\mathrm{.}1.$

Plot the numpy sine function $y=sin(2\frac{x}{5})$ for each value of $x$ with the following requirements:

Plot in the range $x=(0,10).$

Plot discrete samples with a step size of $0\mathrm{.}25$ using blue squares and with label "sin discrete".

Plot appropriate axis labels.

Print text "Printing first five entries:" and then print first five entries of $x$ and $y$ array for debugging and mark them accordingly i$.$e$."$x:$"$ and $"$y:$"$ or anything similar.

On the same axis, plot the corresponding smooth function using a red dashed line. The smooth function should use much finer binning to approximate a continuous curve.

Add appropriate axis labels.

Add a title $y=sin(2\frac{x}{5}).$

Add a legend for the "sin discrete" and the "sin smooth" function.

Hint: You made similar plot in PHY$40$ course.

Jupyter Notebook $1\mathrm{.}2.$

I'lot the numpy normalized sinc function $y-sinc(2\frac{x}{5})$ with the following requirements:

Plot in the range $x-(-5,5).$

Plot discrete samples with a step size of $0\mathrm{.}5$ nsing blue circles.