For the loading shown, use the double$-$integration method to determine $($a$)$ The internal bending moment for X$=2\mathrm{.}8,($b$)$ the equation of the elastic curve for the cantilever beam, $($c$)$ the deflection at the free end, and $($d$)$ the slope at the free end. Assume that $El$ is constant for the beam. Let $w_0=9k\frac{N}{m},L=5\mathrm{.}5m,E=205$GPa, and $I=120{10}^{6}m{m}^4.$