a$)$ Consider the following function:

$f(t)=\{\begin{array}{cc}2\text{;},& 0=9\end{array}$

Express $f$ in terms of unit step functions and hence evaluate Laplace transform of

the function.

b$)$ A beam of length $L$ is embedded at both ends, as shown in Fig. Q$4($b$).$ Find the

deflection of the beam when the load is given by