## Answers

F =lrlr + + = + + F=xax? + y2 +2+i+y1x + y2 +2°;+z1/x + y2 +zºk R = x/x + y2 +z2, F3 = yux2 + y2+z, R = za/x* + y2 +z? & ƏFƏR ƏF az DR_2x2 + y2 +z2F, x° +2y2 +z OR_xº + y2 + 2z2 ox V2 + y2+z?' Day 7x +y+z?' Tx + y2 +2? OF OF OR 4x2 +4y2 +422 div Oy az 1x2 + y2 +z Gaus divergent theorem S[ F. ds = [[| divF av spherical coordinates x=rsin cos , y=r sin Øsin 8, z=rcos hemisphere x2 + y2 +z =1=0<s1,0<O<27,0<OS 4x2 +472 +422 div= 1x2 + y2 +z2 S V 7 = 4r 1 2 Il divF DV || 4rrº sin od çad Odr V Y-009-0 [4r3dr sin ad - 27

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