Exercise $4($Practice with Python$)$

Given a function of two parameters $x$ and $y,$ we want to create a file with a table of function values. The left

column of the table contains $y$ values in decreasing order as we go down the rows, and the last row contains

the x values in increasing order. That is$,$ the first column and the last row act like numbers on an x and y axis

in a coordinate system. The rest of the table cells contains function values corresponding to the $x$ and $y$

values for the respective rows and columns. For example, if the function formula is $xC2y,x$ runs from $0$ to $2$

in steps of $0\mathrm{.}5,$ and y run from $1$ to $2$ in steps of $1,$ the table looks as follows:

The task is to write a function:

def write$\_$table$\_$to$\_$file$($f$,$ xmin, xmax, nx$,$ ymin, ymax, ny$,$

width$=10,$ decimals$=$None, filename$=$'table.dat'$)$:

where $f$ is the formula, given as a Python function; $x$ min, xmax, ymin, and ymax are the minimum and

maximum $x$ and $y$ values; $nx$ is the number of intervals in the $x$ coordinates $($the number of steps in $x$

direction is then $($xmax$-$xmin$)/$nx$)$; ny is the number of intervals in the y coordinates; width is the width of

each column in the table $($a positive integer$)$; decimals is the number of decimals used when writing out the

numbers $($None means no decimal specification$),$ and file name is the name of the output file. For example,

width $=10$ and decimals $=1$ gives the output format $\%10\mathrm{.}1g,$ while width $=5$ and decimals$=$None implies $\%5g.$

Help me please