Stucture analysis $1$

Please solve it correctly and on a clear paper

Questions:

$1-$ Mention various methods of structural deformation in determinate structures

$2-$ As shown in the figure below:

$2.$a$-$ Determine the moment function for interval $1$ and interval $2.$

$2.$b$-$ Find the slope at point $($C$)$ and $($B$).$

$2.$c$-$ Determine the maximum deflection between the supports A and B $.$ El is constant. Use the method of integration.