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ß x )

on-4(0.5*et[drö*\ \-l

I d'+A\ = t/"+\ 'dl-fel :l/o+Bl

Kws{Inr^.4q l- @t^^{-,1 -l}

., . (dr"ll ß{,a ;&= ild.tt{, ä,',d. Öt'i$asl\ x

d"$d,-',du; *4 - d6 actAu ,1c,r^ca dr4-$u, , äu)=räl'

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ß e s t ^ \ g- f df,-_

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d.i-.

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r

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vi-

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o T o - Y [ * ' ^ ' ü ^ v \ I r u t u ' v /

d.+uG = e"ij t cLzp =l

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t"--". al&- eod. KFo.c,C.drß trU+

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V N'-dir^u^nga{"' 'tÄA{a-"ca.,r- cl^le'O^drc &- g lR\

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t \ = L

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€i, fr.* hcke öert^d^Bur'rH.t.-- e9oo sßAÄ

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= C3 4.14a_

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q , V [ n - p . { t . n , - ) - - Q t g )

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e9

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$ = s- (ß) ß - [-ör,tJ x CoT l)

(l)^G'r)0 -(L)

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O 9

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= L ( a * ä * + ^ ) = ?

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o(4 ,ej ^ üt4.,D) .- o

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K ugelkoord inaten Die Kugelkoordinaten (., , ü , e) sind mit den kartesischen Koordina- len (x, y ,, z) verknüpft durch

i{-t..arr 0

r : r c o s g s i n r 9 , E : r s i n g s i n t 9 , z : r c o s d wobei r > 0, 0 < rJ ( n und 0 < rp < 2tr. Dte Substitutionsfunktion ist

@ , a ' t ) - o ( r , P , ü )

(rcostp sint9, rsinp sint9, rcosrl)

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n f =

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t

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.crf, A ^Aß ,/-''i:.r:r'|r: i

Arß)- ry A-Ä9 /*",,;:';:l[::--.;

, '

, :2^

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rl(n) - F hü^O^ ArAQ AG asnheiic,rwedse

t 5 \

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z r C ß )

G= FrdI rbfr\xCo/rl

ü e- ärt'

sG.0 ,t (q er e )

A snGr d.a d1 Är-

- tilJ}*," sr| Äq d'-

:fjt"^.^ ÄR d.r^

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: * R t T r_{. 4}

o

3

rtJ) - Jr^

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R arT

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