For the beam and loading shown in the figure below, use discontinuity functions to compute

$($a$)$ the deflection of the beam at $A.$

$($b$)$ the deflection of the beam at midspan $($i$.$e$.,x=2\mathrm{.}5$ m $).$

Assume a constant value of $EI=1,500kN-m^2$ for the beam.