$40-$ Use equations only to show:

$(1)$ Short chain branches of polyethylene

$(2)$ long chain branches of polyethylene

$(3)$ Ziegler$-$Natta catalyst effect

$(4)$ Phenol formaldehyde crosslink

$(5)$ Urea resins crosslink

$(6)$ Alkyd resin formation and crosslink

$41-$ Explain with help of drawing one of the methods applied for the preparation of

low density polyethylene.