Influence lines for three response quantities for the beam ABCDE are shown above: $R_B($the vertical support reaction at the pin support at point B $)$; $M_C($the internal bending moment at point C $)$; and $V_C($the shear force at point C $).$

Use the given influence lines to answer the following:

$3$ points $(1)$ For the influence line for the internal bending moment at point C $,$ use statics to verify the value shown when the unit load is at point $E.$

$2$ points $(1)$ For a uniform dead load of $0\mathrm{.}60\frac{k}{f}t,$ applied over the entire beam $($from point A to point E $),$ what is the internal bending moment in the beam at point C $?$

$2$ points $(1)$ For a uniform dead load of $0\mathrm{.}60\frac{k}{f}t,$ applied over the entire beam $($from point A to point E $),$ what is the support reaction at the roller support at point B $?$

$2$ points $(1)$ For a uniform live load of $1\mathrm{.}5\frac{k}{f}t,$ what is the maximum negative support reaction $($uplift$)$ at the roller support at point B$?$ Consider only the uniform live load.