Problem $4(10$ points, Core Course Outcomes $1,3,6,11$&$12)$

For the number $N$ of necessary intervals from problem $3,$ determine $$ such that $y(L)=0\mathrm{.}039+-{10}^{-6}.$ If you are unable to solve problem $3,$ use $N=32,768.$

Give $,$ its estimated relative error, and the resulting $y(L)$ as decimal floating point numbers in engineering notation with at least $6$ mantissa digits. Graph in $2$ separate plots $(x)$ and $y(x)$ for this $.$ Use the given content obscured functions from problem $2$ to determine $p(x)$ and $EI(x,)$ at any $x$ and $$ needed.

Required submission:

Value of $,$ its estimated relative error, and beam's deflection at its end, $y(L)$ as decimal floating point numbers in engineering notation with at least $6$ mantissa digits;

$2$ separate graphs showing $(x)$ and $y(x)$ respectively;

printout of script and any additional functions not already submitted in prior homework$/$exams;