Use $($a$)$ the Newton$-$Raphson method and $($b$)$ the modified secant method $(\backslash$delta $=0\mathrm{.}05)$ to determine a root of f $($x$)=$ x$516\mathrm{.}05$x$4+88\mathrm{.}75$x$3192\mathrm{.}0375$x$2+116\mathrm{.}35$x $+31\mathrm{.}6875$ using an initial guess of x $=0\mathrm{.}5825$ and $\backslash$epsi s $=0\mathrm{.}01\%$ using matlab. Explain your results.