e =e too too Tax ay? e = - 00 0 0 1 2T too TT e-ar? rdr - ear? dx = 7-9. (a) Show e-ar e ay? = e-ar? , where r= Vx + y2 . (b) Show edxf me dx [*e*** dy = 5e-arrdr .* de , where r and 6 are two-dimensional polar coordinates. (C) Show Som and (**de = 27. (d) Show | si j . (f) Show that normalized Gaussian function and lim, Tele = 8(y). (g) Prove 8(x)= S e2tike dk . 2a a in 2 TT too too -ax- -ar2+ 32 a 2 +i 2 ft xy dx = (e) Show Joo a e dx = TT a is a e 00 -e a too TT -e a = a-0