PROBLEM SET 1: VECTOR ANALYSIS Divergence theorem. (a) Use the divergence theorem to prove, V24 = -4783(7) (12.5pts) (2.1) r (b) [Problem 1.64, Griffiths] In case you're not persuaded with (a), try replacing r by (r2 + 82) 1/2 and watch what happens when & - 0. Specifically, let D(r, 8) = - (2.2) Vr2 + 82 By taking note of the defining conditions of 8'(r) [(1) at r = 0, its value goes to infinity, (2) for all r # 0, its value is 0, and (3) the integral over all space is 1], demonstrate that 2.2 goes to 83(r) as & - 0. (17.5 pts) SHOW YOUR COMPLETE SOLUTION AND WRITE YOUR SOLUTION ON A PAPER