5.8.6 Show that d E() (a) dk = -(E - K). (b) dK (K2) E Hint. For part (b) show that E(13) = (1 - 43) (1 -ksin-0)-3/2de by comparing series expansions. Q .4 a) Find the expression of Octopole term in the multipole expansion [written in the Cartesian tensor form]. then write P, (cosfi) in terms of multipole terms [ written in the Cartesian tensor form ] Q .5a) Show that Det [A] where x' A X = Xi Aux, & ]' x = Ji x, and A" = A (1, j = 1, 2, . .., N] b) Show that and evaluate the following expressions