i need the exact answer for it : A bookshelf is made from pine wood with Young's modulus of $9$GPa carrying $30$ books. The vertical

deflection of the shelf is given by $v(x)=0\mathrm{.}42493{10}^{-4}{x}^3-0\mathrm{.}13533{10}^{-8}{x}^5-0\mathrm{.}66722{10}^{-6}{x}^4-$

$0\mathrm{.}018507x.$

a$)$ Use the bisection method to find the maximum deflection.

b$)$ Use the Newton$-$Raphson's method to find the maximum deflection $($Given: $f(x)=\frac{dv}{dx}=0$ as $x_0=$

$.$