(a) Comparing the given input output relation with the standard form :

                                                                     and

  we observe that ,                             

  Also, the input gets shifted by 2 units to the right and then convolved with the impulse response h ( t ) ...

 (b) Now for the given input, first of all shifting the input to the right , we get

Now using the given relation , we get the output as follows :

                                                                      for -1 < t < 2

 And                                                               for t  >  2

That is :                                                                 for -1 < t < 2

                                                                       for t  >  2