P$4-(25$pts$)$ Determine the equations slope and use them to calculate the displacement at

point $C$ for the beam. El is constant. For credit:

Determine the support reactions.

show the four constants of integration.

Frame the slope equation $($BC$)$

Frame the displacement equation $($BC$)$

Calculated displacement of point $C$

$0x_1<mn>3</mn><mn>0</mn><mi>f</mi><mi>t</mi>$

$EI\frac{dy}{d{x}_1}=>{}_1=\frac{-7\mathrm{.}5x^2}{2}+c_1$

$EI{y}_1=>y_1=\frac{-7\mathrm{.}5x^3}{6}+c_{1}x+c_2$