For the beam$/$shown below, do the following:

a$.$ Draw a Free$-$Body$-$Diagram of the entire beam.

b$.$ Write the loading function, $q(x),$ as a function or $x.$ Sometimes this is referred to as $w(x),$ but that would be confusing here, as the given distributed load in the figure is $w.$

c$.$ Write an equation for the shear force, $V(x),$ as a function of $x.$

d$.$ Write an equation for the internal moment, $M(x),$ as a function of $x.$

e$.$ Write an equation for the slope, $(x),$ as a function of $x.$

Write an equation for the denection, $y(x),$ as a function of $x.$

g$.$ What are the boundary conditions that can be used to determine the constants of integration?

h$.$ Do NOT solve for the constants of integration, bur explain bow you could solve for them. You may use equations in your explanation.

i$.$ Assuming you have solved for the constants of inregration, how would the deflection at point $A$ be determined?