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6=1-(3+534z)=—(2p+4^+3z)(c)Aஹ*}.y“7.07"”bª=—B==1Òᓽ+Ô+3Ô=(2p+4^+3z)Bᢌ+42+32(d)A3Ḅᜳ0=cos-1(¹B)--I(———)=68.4cosAB38.077(e)A3ḄᜧA==7.071B=4B"B +B=5.385(DAᙠ5 Ḅᢗ -ª1A /?=(3Q+50—42) y^(2Q+40+32)=2.61.136Ëᙊᙶ᪗6ᙠxr(1,Ã/2,2);4=2+30,ᙠxQ(2,%,3);5=—3Q+1O2:(a)A+5(b)A(c)A3Ḅᜳ!"Õᣚᑮᙶ᪗.AI—sin^>(5IT/L.Asun^oocs7xḄ!"᪷.ᙊᳫᙶ᪗ᙶ᪗Ḅᐵx=rsin0cos(p{y=rsinOsinz-rcosOX[=rsin6cos°=1Ox0.707x0.5=3.5358!"V/=x—+y—+z^~=3x2y2zx+2x3yzy+x3y2zdx.dydi1.17᪗PᙠxèI11éêºᔣḄìᓄ᳛!:ïð+ñ+òyi+6+4z2l,ஹ(xx-2y+z)ó+V+12=xy—2x+4zJ/+y2+]ᡠjô|(1”)=/1.18ᵫᑭᵨᙊᙶ᪗ᙶ᪗Ḅᐵ6õö!"ᙠᙶ᪗(1)X=pcosy=psin(p(2)z}zP(p=arctg—(3)x(4)(5)ᵫè2éஹè3é°±/dp——=COS6P(6)dx
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101.20ᵫ@ᑭᵨᙊᳫᙶ᪗QRSᙶ᪗ḄᐵU@VW>---------------——------------------------------------------------OGXx=rsinOcosg11"1 法——sin6r丽sincpax丽rsin0¥cosrsin^?=0dzXE>=bv---1^*--Ls—=(ᒹ++)(in%os°+%os%os°-0sin°)drdxd0dxd(pdx+(*inesino+%"n"cos°) a”+⚗ae+!3+(■)(/cosg-isin)drdz80dzd(pdz50 =(——sincose)(/sin6cos°+ecosecos#0sin0)dr13জ+(------cosBcoscp)(/sin@cose+8cos9cos0-0sine)rd0-(---^-sin(p)(in8cos0+3cosecos0-0sino)rsin^dtp50 +(——sinOsin°)(rsin^sincp+^cos^sin(p+(pcos(p)dr+(--^cos6sin°)(rsin3sin(p-\-^cos^sin^>+(pcos(p)rd0150 +(------------cos)(rsinsin+@cos6sin0+0cos)rsin0d(p8$ +(——cos0)(%cos#6sin)dr13জ+(--------sin)(/cos6—Osin)rdO-------------------------------
121.21=/'(r,,)=sinOcosḄEFGX\7f=r—+0ߟ-—+(p---------—drr36rsin6&=/2rsin8cos°+ecosecos0—fsin1.22=EFg?ᐸijekᦪGXT=QVr=r—=rdrNekr=r^—=rkekrdrᙠᙊᳫᙶ᪗Ui@nop▬ers=tu@ᐸijekᦪ@v(nopw71.23xyz,ᡝᔠ|@}/Ḅ~oᑖe@ᓽ=0/v(X᪷ᡲᳮXdl=JJVxF^S/srr0rsin60daVxF(r\-\v7xxᔆr—=0rrsm0ap00ᡠ,p.j/=||VxF
13Tdx+2a•ᵬ•1429(bpddd+/~§+(JW)~wVi0\1∎ddᐻ-H-7----1-FV='WwIV0TOdd)QddQdQ-v^+lv(b,soo—+£y——suisOsoo——i-v——¸sosuis+cv——d),uis+-WzIQIQQ1'dd)Qddd)gdḄ¹00»§^—d).soOyH-V^SO°^UJSY+K¹^----+/dd)QddqdQtt‘V^-UூS—+'v——0SO30UIS-----½UIS0SOOV---------d),S03V——=1'\Q'I^QzQgd>dKQd.dg-r^-4-(C^SOOy+duiscy)—dsooy+^sooy+<^uisy)—<^uis+d)Qddq(d)uisy-Osooy)—d)uiSy-(d)uisy-Osoo'y)—dsoo=7ffgd)Q&Qd°XQd)QXQd°ÀÀ7+ÁÂ+ÀÃ+/ħd0Oso§=U)UIS=—dXQ6^UIS--§d)QYssoo=ÅOsooÆ+¹”w=AydiisV°°V=V᱃VTiooVÉIo<2>5CE><2klK=&|Oi^CI1S—<2>5ODV
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16d+sinsin§(sinOsinË,.+cosOsin(pA+cosË)edr+cossin——(sin0sin(pA+cos6sin(pA+cos(pA)r0r60COSzU/•C.A* AAஹ+-----------(sin^sin(pA+cos^sin(pA+cosË)r0rsin0&pa+cos0—(cos0A-sin3A)r0drsin63,*4.»ஹ-------------(cos3A—sin6A)r0r30-sin2^cos2(p-^-A+sincos^cos2(p—A-sin68s°sin(p-^-Ar0drdrdr+si.n2 Osin2(p-ÏA.2.04-sin^cos^sin(p—A+sin^sin^?coscp—r024-cos0-A-cosOsinArdrdr+—(sinSeos6cos2(p-A+cos2Seos2cp—A-cos8cos^9sincp-A)ror303630+—(sinSeosOsin?cp—A+cos2^sin2(p—A4-cosBsin9cos(p—A)r0r303636--(sin6cos0—A-sin20-A)ror3033+—(cos2/9cos2(pA-sin/9cos^cos2(pA)r0r+—(cos2Osin23A-sincos0sin2(pA)r0r1.+—(sin*-90A+sincos0A)rOraae1H---------(-sin^sin^cos^——A-cos0sin(pcos(p——A+sin2(p—A)rorsin^d(p&pap1/•nAn•CZ.2A\+--------(sinsin/cos——A+cos@sin°cos9——A+coscp——A)rousingd(pḄḄ+——-——(sinBsin?(pA+cos0sin2(pA+sin^?cos(pA)r0rsin+Ja(sin6cos2(pA+cosgeos2(pA—sincosepA^)r0d2sincos1Ð=—(A)+-A+-------------(4)+--------4+--------------rrdrrrsin^30rsin^rsin^d(p1d1d1¯9=/Ñ>ᔆ4C+Òe>ÀÐC+ÒÓ
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182d2জa,i⚡ஹ.id,জஹ=cos"(p——sin0cos0——(----)-sm(p-----(cos——)dp2dppd(ppd(pdp.ia.eজஹ+sin^——(zsin^?—)po(pd(pa2(p=(sin/+cosjt(siní+cosjᔩঝ2dppd(pdppd(p,a2o.aïeজஹia'.⚗ஹ=sirr2——-+sin^cos^—(----)+cos°-----(sin°——)dpdppd(ppd(pdp1deজஹ+cos(p---(zcos—)pd(pd(pm2eTজ.a/sজஹ.idao>ஹজ=cos**cp——--sin^?cos^?——(----)-sin^9-----(zcos---)dpdppd(ppd(pdp.1a.50)ஹ+sin^——z(sin^?—)pd(po(p.oa2O.dA13/.+sin-(p——-+sin(pcoscp——(----)+cos*-----(sin---)8p~dppd(ppd(pdp1d3iஹz+COS§7——(COS*——)pd(pd(pa2o>.1SO.162O.16জ=——-+sin2-(p------sin^cos^-------+sin^cos^>-----dp'pdppd(pdpp-d(p2150).1জ.1921ñজ+cos(p------Fcos^sin(p--------cosQsin(p----Fcos-(p--——-pdppd(pdpp-d(pp'd(p'জ131জ1@ò)ஹ1J?জ=^-^+——+-7T=-h(Q=)+2…q2dp~pdpp-d(p~popoppap1.29÷øa)f(r)=x2zb)f(r)=pc)/(r)=r=sùGX
19a)ú+ûüýb)-Ug:)+þᒹ+pdpdpp~d(pSL1pஹ_120\13/ஹ1^2f_2c)Vf=——(r—)H---------(sin6—)H-----------=-r~drdrr~sin^dOdOr~sin_03(p~r1.30 ᵫ Ḅ!"Ḅ#$☢Ḅ&()(*1rp—»—•rp—»—•,r-*—,rp—»—•rp-*+,FdS=Jj>dS+[j>dS+Jj>"S+JjFdSsS\SS3s24556751Ḅᙊ9:☢;S25:<☢;§3=>☢;S,?>☢1nJjk•=JJ{pp+0+z2)•zpdcpdz=jjppdcpdz=7151B00i1jjF-=Jj(pp+0+z2)•(-9)Cz=_jJ(dzdxy=0ss-102201=jt/x-jt/x=0-10jp.K=JJ(L+0+ZZ).(-z)^=0z=()S3S3jp.L=jj(N+0+ZZ)•(z)pdpdcp=7112S4S4Z1—•—•Pi*—•—♦P/*——•Pi*—♦/*—•—•1F-dS=jjd+jjd+JJm+"S=3%/2SS]S?S3S4(*2Sᡝ=Jjjv•FdV=JJJ3dV=3V=3V/2VV
20先(0A4Ayz()1)^_=\,/5ab5AycAzḄdefᙠ(x,y,z)Ḅhijkr_-SAdA\Adl--4Az-(Aஹ,+--Az)Ay+(A+ߟ-Ay)Az+Aஹ,AyzI&dy=----AzAyH--LA.yAz&dyZdzdy2)^=9,/5ab5AxcAzḄdefᙠ(x,y,z)Ḅhijk--dA8AA-dl=-A/ix-(A+—Ar)Az+(A+--Az)Av+AAzxxdxdz■./0+.dxdz1----==---+—2Avdxdz3)^ᔵ=2,/5ab5ArcAyḄdefᙠ(x,y,z)Ḅhijk--dAS4A-dl=+AஹஹAy-(A+--Ay)Ac+(A+-VAr)Ay+A/Sxvyxdydx-A)&+rgdydx\A-di/v+Avdydxtuxu£(+x•+y+ᐶ-{+ᔩ+2(.}+9)dzdydxdzdydx
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