Show how each of the following compounds could be prepared from 3-pentanone. In most cases more than one synthetic transformation will be necessary.
a) 2-Bromo-3-pentanone
b) 1-Penten-3-one
c) 1-Penten-3-ol
d) 3-hexanone
e) 2-Methyl-1-phenyl-1-penten-3-one