For the cantilever beam and loading shown, determine:

$($a$)$ the equation of the elastic curve for portion $AB$ of the beam,

$($b$)$ the deflection at a distance $0\mathrm{.}2$a from point $A($upward is positive$).$ Input your answer as E$-3,$

$($c$)$ the slope at a distance $0\mathrm{.}2$a from point $A.$ Input your answer as E$-3.$

$y(x=0\mathrm{.}2a)=w\frac{a^4}{E}$I

$(x=0\mathrm{.}2a)=w{a}^3\frac{?}{EI}$