a$)$ Plot accurate shear force and bending moment diagrams on the axes provided. Show values for all key points. $($Suggestion: To save time and work, use the geometric theorems approach.$)$

b$)$ Use the FBD of length $x$ method to find equations for $V(x)$ and $M(x)$ that are valid in the range $x=4\mathrm{.}5ftx=3ft3.$ Note that the triangular distributed load begins $atx=4\mathrm{.}5ft,$ and not $atx=3ft.$