I need help writing the code for part b$,$ this question was already posted on chegg but the other answer didnt show the code. So please show how to do the code in python.

The real$-$valued velocity potential for a long crested wave is

$(x,z,t)=\frac{{}_{a}g}{}\frac{cosh(kz+kh)}{cosh(kh)}sin(kx-t)$

$($a$)$ Derive the equation for the dynamic pressure $p_{dyn}.$

$(3$ of $50$ points$)$

$($b$)$ Plot the amplitude $p_a^{***}$ of the dimensionless dynamic pressure as a function of the depth $z$ with zin$[-h,0].$

$p_a^{***}(z)=\frac{p_{dy{n}_a}(z)}{g{}_a}$

Use $h=1\mathrm{.}829m$ and $=3\mathrm{.}0ra\frac{d}{s}$ to compute values. Make the $z$ axis the vertical axis of the plot to reflect submergence. Properly label the plot!

$(5$ of $50$ points$)$