As shown in figure below, a beam is fixed to two walls on ends A and B$.$ A linearly distributed load $\backslash ($ p$\_\{0\}$ x $\backslash )$ is applied. The beam is made up of a material with an elastic modulus $\backslash ($ E $\backslash )$ and has a cross$-$sectional second area moment $\backslash ($ I $\backslash ),$ both of which are constant along the length of the beam. Please answer the following questions:$($Express your answers in terms of at most $\backslash ($ E $\backslash ),\backslash ($ I, L$,$ p$\_\{0\}\backslash )$ and $\backslash ($ x $\backslash ).)$

$($a$)$ What are the reactions at A and B$?$

$($b$)$ What is the deflection curve of the beam?