ASAP $-$ will leave thumbs up$!$

Consider the beam shown in Figure $1,$ with a constant modulus of elasticity, $\backslash (\backslash$boldsymbol$\{$E$\}\backslash ),$ and a varying moment of inertia, $\backslash (\backslash$boldsymbol$\{$I$\}\backslash )($refer to the values provided in Figure $1).$ Use kips for forces and inches for length throughout the problem. Using the Force Method of analysis:

a$)$ Determine the vertical reaction at $\backslash (\backslash$mathbf$\{$C$\}\backslash )($i$.$e$.,$ take Cy as the redundant$)$

b$)$ Calculate all reactions at $\backslash (\backslash$mathbf$\{$A$\}\backslash )$

Hint: Use only the $\backslash ($ x $\backslash )-$coordinate shown in the figure to formulate your moment equations. You will have two domains: $\backslash (0\backslash$leq x$<mn>1</mn><mn>2</mn><mn>0</mn><mtext></mtext><mi>\backslash </mi><mi>)</mi>$ in$,$ and $\backslash (120$