For the cantilever beam shown below:

a$)$ Determine the equation of the elastic curve using singularity functions. Take EI as a constant.

b$)$ Determine the location and magnitude of the maximum deflection of the cantilevered beam.

$($Take $E=250$GPa and $I=55\mathrm{.}0({10}^6)m{m}^4).$

c$)$ Determine the slope at point A using the equations of the elastic curve.