1g⚪ᑭᵨhᦪiḄ,j'D$k_'1A=l 7ᡠoAB=᪆?3.pᦪ/(6=ᓱ+°<&1t/(/ᙠ=1ᜐuvwxyE'ᑣz/ᒹ-1)+3N>1Ḅ|.:Aஹ2Bஹ-2Cஹ-1Dஹ1=ᫀ?c᪆?AB?ᑭᵨpᦪᙠuvxyEḄ}~}k|:N=1uv"im[ᕒz-1+3]=3,limM+a=2+a,l=2+a.]+-ᦑ2+a=3.a=l/+1=lim-1+3-2+a=lirn[1=kx—1l+1-14+a—2+a2_—=u-.._=_11প=lim+DDU+lx—1k=-14.ᑡᔜᦪᦣḄ.()£sinjAஹ1*1,V——?——41n,+1Bஹ
2=ᫀ?B11_᪆?ln+lI7T5.pᦪᨵDuv'ᙠDḄᑁᐹᨵ2▤uvEᦪ'xr0¡;A£1,gḄᨬᜧ|¦ᨬ§|¨ᙠDḄ©ªJBḄᨬᜧ|¦ᨬ§|¨ᙠDḄᑁªJC£,^Ḅᨬᜧ|ᙠ«ḄᑁªJ'ᨬ§|ᙠDḄ©ªJD£t,g/jᨬ§|ᙠDḄᑁªJ'ᨬᜧ|ᙠDḄ©ªJAஹABஹBCஹCDஹD=ᫀ?A᪆?A=¬'B=-5^-,C=%B 0,A+C=O,AC-B2=-A2-^<0,dx"dxdઙv6ઙ’.Dᑁ¬|.
36.03▤2▣AḄ5ᑡ7141=2,ᑣI-5A*A"I9:().Aஹ10Bஹ-10Cஹ-250Dஹ250=ᫀ?C᪆?ᵫ±IVI=IAI3'*=22=4,14ᔆ|=ভt=2"'¶I-5A'A'l\=(-5)3IA,IIA-,I=(-125)x4xy=-250.ᡃ⌱(C) 7.-i»«0XஹXz…;ᩭ=>@AN(2,4)Ḅ᪵CX=mW]X''ᑣDᑡ᪵CEᦪGHN(0J)Ḅ;()‘‘A4X—8B2X-4cX-2DX-22AஹABஹBCஹC
4DஹD=ᫀ?B᪆?᪵gpᦪaX+½¾N(O.l),ᑣE(aX+6)=aE(X)+b=2a-^b=Q,D(aX+b)=a2D(X)=2az='J“=2.6=—4.ᡠo᪵gpᦪ2X—4½¾N(0,l).ÀTOÁ'/(জ)=3sin1.()x£x8.Aஹ¬Â§ÃBஹ¬ÂᜧÃCஹᨵÃ'ÄŬ§ÃDஹ¬'ÄŬÂᜧÃ=ᫀ?D᪆?ᵫX*=---------------->0,ᑣ/(**)=(2Qr+%2T30(Æ->8),ᦑÀᡀ-»0Á'2ᓃ+22/(x)=2si/¬.ËᵫxK——>0,/(XK)=0T0ᦑÀx->0Á,xkfr/(x)=Lsin1Ì.¬Âᜧ.ᦑ⌱(D)X’X9.ÍÎXL-V(ᱏ)/~.V(zro-:)ÑÒᎷ4:Ô=ᐗ:4hÖa=0×'¾XØÙ=3ªÚÃ%nM=12Ḅ᪵g'¾YØÙªÚÃ%nM=10Ḅ᪵g'ḄSK=11804,SKM=31.93,ÛḄÑÒ,j ÜÝ.()AஹᵨtÑÒj'Þ|ß(17)=2.11,àáHMBஹᵨῊÒj'Þ|FM?S11,9)=3.10,FMã(11,9)=0.35,àáä
5CஹᵨFÑÒj'Þ|FMã(11,9)=0.35,FM9)=3.10,åæHMDஹᵨῊÒj'Þ|FM(11,9)=5.18,F:ᜮ(11,9)=0.21,åæHM=ᫀ?B᪆:è.éêÛÍÎ,ìíîḄÑÒï⚪'ᐸØ'P•:,ñò'ᦑóᵨῊôj'ᡠᵨõÃ%rö=÷øF(%L%-1)ᵫ±(%ᵫ,%-1)=ὡû(119)=3.10wüý=3.71>3×0£31.93ᦑàáHM.acosx|.r|^—/(x)=<20|.r|>g10.þÿ XḄᭆ᳛ᦪ,ᑣP{TT/4WA.U4B.2-\C.1-]D.UXW100}=()o4AஹABஹBCஹCDஹDᫀD
6᪷ᭆ᳛ᦪḄឋᨵJ^/(x)dr=lᦑEஹ11JaCOS.YOX=2a=lna=-"5ஹ—COST|.v|—)=21120ᐸ ᐗ1r1001P-0Bz->1Cx-y/2Dx->+oo11.AஹABஹBCஹCDஹDᫀc!᪆(X2-l}y/x2-2ᙠ⌱⚗1Ḅ ᓄ*+2345▲ᑨ9ᓽ;<=ᯠHm\——/-------=0,ᦑ⌱r?x3-l(C)
70/(*y)=no+pᑣ4(1,0)=(Aஹ1Bஹ1/2Cஹ2Dஹ0ᫀBI2x1£(1,0)=q=fox+L2x!᪆…13.2ᑡᔜN1OPḄ,QR(CSTUᦪ)VA.jyz(3—2x)dx=-—2x)+cB.1/*(3-2x)dr=~/(3—2x)+cC.jf'(3—2jM)cLr=f(aM)+cr,1D./*(3-2j7)dz=-g-/(3~2x)+cAஹABஹBCஹCDஹDᫀA!᪆XYZᡂJf'(u)duḄaN<ᑏcd9eᑖ
8AA=—,B=1,C=03BA=B=1,C=0f3CA=—,B=-1,C=0fh(14-tr)314.hixTOj<ᨵar+bx+cx?.…sintdt,ᑣ0.DA-0B-2.C-0AஹABஹBCஹCDஹDᫀDk/Q)=]il1+1K9:wx=jw(x)dnᑣ()(ᐸ1nfx+y10hᦪ/((▲=0^«<2ᑡ¬⚪┯®Ḅ,()Aklim¯°ᙠ<ᑣ/(0)=0htOXBklim)+/(,ᑣo)=Q(TOXCklimª°ᙠ0%x->0x_0a°x⚗OP<ᦑ⌱(D)
1119.ᙠ¿ᓫROÂÃᙳÅḄᎷhÇÈ112CஹD(Y)=0DஹD(X)-D(Y)=0ᫀB!᪆:D(X4-y)=D(X)4-D(y)+2Cov(X.y),D(X-Y)=D(X)-|-D(y)-2Cov(X.Y)ᵫ⚪0D(X+Y)=D(X—)ᡠCov(X,y)=0.ᑣCov(x,y)=0,yo(X)y/DCY)ᦑXᐵᓽ⌱B22.áâ▣AḄᱯÏÅ,Ad;⌮ḄAஹᐙᑖᩩçBஹº⌕ᩩçCஹᐙ⌕ᩩçDஹéᐙᑖஹéº⌕ᩩçᫀC23.ᢗëµRᙳᒴḄí¹13cஹcDஹDᫀA24.h<ô4,Õõᑡᔣ.1ö=÷|,2ù1ᑣÙভÝûḄ,ñòAஹ12<1<3IBஹI-2,-fl3»-fll1Cஹτü+<<<+%<%+,τDI+a,fl|+a+al223ᫀDhᐭ=2,é ▣AḄᱯᑣ▣ᨵᱯ25Aஹ43Bஹ34Cஹ12Dஹ14ᫀB᪆AḄᱯ,ᑣᨵAx x,x#0 AX A Ax ᐭAx=ᐭஹ^x,!"#$4? ᨵᱯ%&ᐭ=2'ᐭ(42ᨵᱯ0"=T1,\'XHCOS—X#0z/x1X26."ஹᑣ,-xᙠx=0/ᜐ12Ḅᨬ45ᯠᦪO
14Aஹn=1Bஹn=2C
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16n▤▣abA?_24=O,ᑣᑡ▣"⌮().AABA-ECA+EDA-2E28.AஹABஹBCஹCDஹDᫀB᪆2Aᦑ⊈4IE)O.y.4ஹ.42fᙳ"h"⌮.(A)ஹ(D)"=.4=2?.eᵫ.4'2A0^(.4+E)(A-3E)--3E,y.4+E"⌮.A-EhW"
170x<0A F(.v)=COST00x<0D.F(x)=-429.ᑡFᦪ¡¢XḄᑖ£FᦪḄ ()AஹABஹBCஹCDஹDᫀ:D᪆:ᑖ£FᦪF(x) h¥Fᦪᦑ◀A,B⚗©e0/F(x)W1,ᦑ◀C⚗ªs«⌱D
18° >f<1ᑣf(x)ḄT²Fᦪ Fᦪ¯)=A(X—1)2,N<1()=-1),X>1B(27—1³,¯<1F(H)=¯(Ini+1)—1,a:>1(N—1µN<1Cಘ=N(llhr+1)+1,N21(X—1)\N<1Dಘ=ar(lnx-1)+1,2T>130.AஹABஹBCஹCDஹDᫀD᪆᪷¸²FᦪW"E,ᡠk²FᦪW12ᡠk²Fᦪᙠx=1ᜐ12,◀(A)f(C)©ᵫᩩº,"²FᦪabF(l)=l)=0(B)⌱⚗,F(H)-R1)x(lnx4-1)—1—0Inx+1+1ᓃপ=limlim-----M-----x—119ᡠk(B)h¼½⌱(D).¾"k¿(D)⌱⚗ḄFᦪZEÀÁ(D)⌱⚗ ¼½ᫀᦑ⌱D<0/(X)=31.I4.v,J019Aஹn/4BஹnCஹn/2Dஹ2nᫀB᪆ᵫÍᑭÏÐᦈÌWᳮx=n f(x)ḄÒÓ/ᦑᏝÈÉÊᦪᙠ*=n/ᦈÌ[f(n+0)+f(TT—0)]/2=(ߟ2n+4n)/2=n0'10Iஹ.4=020,(122¼ᦪᑣAn-2(AnT)=()J0>>A.1B.A2C.A32.D'°AஹABஹBCஹCDஹDᫀDᦑᨵA2-2A=0»An=2n-^A,An-2(An-)=2n~^A-2(2n-?A)=0o᪆:
20D ×ØÙ-1=¯<1,ᑣ|e^dxdy33.DA.(e-1)2B.U~/~1)2C.4(e-l)zD.)24AஹABஹBCஹCDஹDᫀD᪆ÛÜ& ÝÞᑖᓄ àÞᑖáâ34.ᐭ ▣AḄãhäḄᱯ&,n AḄᑖæç3,èḄᱯᔣ¢ᑣk⌱⚗¼½Ḅ ()Aஹ¿tḄkMWOfkirO,kME+kKng AḄᱯᔣ¢BஹiᙠêᦪkM#0fᓃ#0,,(kC+kin AḄᱯᔣ¢Cஹ¿tḄkM#0fk;WO,kMR+kKngh AḄᱯᔣ¢DஹíîkM=h=OïkC+kMn AḄᱯᔣ¢ᫀC᪆I>n AḄᑖæç ”12Ḅᱯᔣ¢ð4AZ=XKmAH=X2q,A(kil+k;=kMAl+k;An=kiXi+kiX2R,î i# zïkME+kznñh ▣AḄᱯᔣ¢35ᙊᕜP cosP=2cos8õq8=0,®=?ᡠöḄ÷×Ḅ☢ÞS()
21+2)cஹ7-7TDஹsᫀc᪷¸ÞᑖØÙ"(°r¨8663zஹS=||2>s7§©«7(¬+2)᪆:36.pqy=x+sin”xᙠ/(n/2,l+n/2)ᜐḄᑗq ()Aஹy=x/2+1Bஹy=x4-1Cஹy=(x+1)/2Dஹy=x+1/2ᫀB᪆Ây=x+sin”x¿xZE(y'=1+2sinxcosx,ᑣ/(n/2,1+n/2)ᜐᑗqv᳛y'(n/2)=k|x=n/2=1,ᑣᑗqy—(l+n/2)=x-n/2,ᓽy=x+1⇪ýþ =2'ᐸ+#0,ᑣᨵ()Ab=4dBb=-4dCa=4cDa=-4c37.AஹABஹB
22cஹcDஹDᫀD᪆4ᑐ1.<2tanx+ZJ(I-COSX)®cos2x+^s^nx¯.2=hm--------------------------U=hm-co^-x-----------=ocln(l-2x)+d(l—)0-2c+~^2xdel-2x°±ᫀ.2=(y/x)x/y,ᑣ(az/dx)|(i,2)=()A —dn2-21B 2^ln2-1)(C.in2—2)D.JO.-AஹABஹBCஹCDஹDᫀD
23ᓄu=y/x,v=x/y,qi|z=uvo᪆:,'ᦪg*x+=|-xx40XX<0r,ஹx>2“X57”g[f(x)]-|x+2-xx20x<0A.:-xx>0x<0B.ஹ0x<0C.K20-xx<0D.xNO39.AஹABஹBCஹCDஹDᫀD2_xMOx)=Lx<0x>0-xxH0᪆ᵫIJg[/(x)]=f£)x>O,jit0Tf/(.r)=-x040°=(3°'O1'2)9°=(0,1,0,2),75(OTP)=()oAஹ1
24Bஹ2Cஹ3Dஹ4ᫀAr(aTP)0,J᪆~%=141.a=i+2j+3k,p=i-3j-2k,XaஹBYᚖ[Ḅᓫ^ᔣ`()Aஹ±(i+j-k)a±3-HCஹ3T(i-j-bDஹBᫀD᪆᪷d⚪fᐜhᔣ`⊤jka=(1,2,3),S=(1,-3,-2),Xlmᚖ[Ḅᓫ^ᔣ`=(x,y>z).ᑣᨵx+2y+3z=02542.stX~N(N,,uXvw᪵yᜐz…X-,S᪵yᙳ}~s*=-yix-^τs*=iyτx-xᑣuᵫn-iḄtᑖḄ`=w-l>1-nK_iT=()oAஹSj4n^--4BஹSj--4GSjgDஹSjᫀBᵫ⚪fᨵ_(ᡠH±~V(01).S"-1³=bbbbsFஹsjᙳX(sM\sJX)KX-MᓽX~u~/(n-l)sJ&-1᪆4b5T[-2-31A.12.-2-rBL32Ja21]C-3-2■21."=()D[[--1232]A=ᑣA43.lr3-2.
26AஹABஹBCஹCDஹDᫀc᪆:®21101111ol1(AE)=22--3201fJ___<"102n102121=(EA*).ᡠA1=01f(p1-3-2-3-2-~2~244.['["!"Ḅ☢*+AஹX—z-2=0Bஹx+z=0Cஹx—2y+z=0Dஹx+y+z=1ᫀA᪆y⚪¡ᵨ◀Ḅ¥¦ᓫᵫ§J¨[ḄIJᡠ©Ḅ☢ª«k*O1,2,-3+k*3,-1,1+*t=0,ᓽI©w¨k+ᵫ®k*T,2,-3+ᙠB⚗☢x+z=0±I◀B⚗2S*3,—1,1+ᙠC⚗x—2y+z=0D⚗x+y+z=1¨²☢±ᦑI◀CஹD¨⚗
27J[(Inx-1)/x2]dx=()A.1-(Inx)/x+CB.-(Inx)/x+CC.-(Inx)*+CD.-(Inx)2/x+C45AஹABஹBCஹCDஹDᫀB᪆^^dx=-J(lnx-l)dK-|=--l-n-x---1+,]e-1d(JZl1nx-l)=--In-x----1+r-1»-1d,v=ᔢl¶+c=-\+CXJXXXXX46.´ᑖy"-3y'+2y=xexḄ·¸ᱯḄº»A.y=(Ax2+Bx)exAvy=(Ax+BஹexC^y=Ax2exDஹy=AxexᫀA᪆¼jᱯ½r2-3r+2=0,r1=1,r2=2,f(x)=xex,ᐭ=1,¿ÀÁÂḄᱯ½Ḅᓫ᪷..•ᱯº»y*=x(Ax+B)*ex
28A0Ba2cOODna247.2n▤Çᑡ»DḄÉOᑡᐗËÌᐸÍλYÏ®a,ᑣD=()AஹABஹBCஹCDஹDᫀA᪆05ᑡ7Ḅ·jᑡḄᐗ¹ºᐸ¼½7¾°a,ᑣᢥÀᑡÁÂ…+a.,A”=aA“+aAa+…+aA?”ÄÅÆᑮÀᑡᐗ¹ḄÈᦪ¼½7Éᨵ“Ì°aÌ°a.HÍ5ᑡ7ḄΰÏ.ᡠÐ⌱A.48.ᵫÑy=x+1/x,x=2Ìy=2ᡠÒᡂḄ☢ÓA=()Av—In2Bஹ1/2-In2CஹIn2Dஹln2-1/2ᫀDA=1|X+--2it=|-+lnx-2xI=In2-i᪆a*ÖI24249.'ᦪY=/(x)ᙠkXEIᜐÙwÛ}ᑣᨵ()AஹZ=0
29B./(-v)>0x0Cஹf'(xO)=OÜf'(xO)>0Dஹf'(xO)=OᡈÞᦪßᙠᫀD᪆à'ᦪᙠ}kᜐḄÞᦪßᙠᑣÞᦪ0;â'ᦪᙠ}kᜐḄÞᦪãIäßᙠy=xᙠx=0ᜐᨵÛ}âzæÞᦪÏᓽÞᦪßᙠ50.'ᦪf(x)ᙠ(0,+8)±èéÜêëᑘ=íî+/a8Ûᑣ£&)()AஹI-X*-1Bஹxe-ex-1CஹeDஹ(O)aᫀB¿/(x)=ᐭî+/a.zæ¨ðuᑮ1¿*ÓᑖIw*0“C=Ñ+0(ÒÓK/&=1=-/᪆Kò=x/+e12f(*ᜐ=*î+/ஹ(O=xe~&}'ᦪf(x)=ax(a>0>a*l)ᑣ1ó111|/(1)(25/()]=51.()°Aஹ(Ina)/2BஹInaCx21naDஹ2lna/3
30ᫀA᪆11*limrIna/পf(25,)1=lim^r^ln/(/)Oõ??*LÖøߟxM*HnNi=ina*lim=—Inalim=—Inain*21*n252.úû⚪üýḄ().A.àþÿA,B,C ,ᑣB.P(A)>0,P(B)>0,A,BᑣA,BC.P(A)>0,PAஹ>0,A,B,ᑣA,BBஹA,BᑣPCஹ=0ᡈPDஹ=0ᫀD᪆P(A)>0,P(B)>0 A,B ḄᓽA,BᑣP(AB)=P(A)P(B)>0,ᑣA,B #A,B,ᑣP$B)=0%P(A)P(B),ᓽA,B ⌱(D).53.X,Y ()*+ᐸᐵ.ᦪ0ᙠᑣ2ᑡ4⚪67Ḅ ()AஹX,Y ᐵX,Y BஹX,YX,Y ᐵCஹX,Y ᐵX,YDஹX,YᐵX,YᫀB᪆X,YᑣCov(X,Y)=0,pXY=0,ᓽX,Y ᐵ
3154._■>io;32c.-2B*1Dஹ-2?ᫀBᢥ᯿Õ▣É5ᑡ7Ö×ḄឋÙ᪆I-241=(-2)-141=(-1)"2"*',ᦑÐ⌱(B).57.2ᑡ*+ᙠḄ*ᓄ +Ḅ ()A—===(xt4-00)x/x2-1000arcsin2(x-1)..ஹB2T…)cos(K)(a;—>oo)ClcஹzDarctan—(x—>0)AஹABஹBCஹCDஹDᫀB123▲ᩭᑨ8ᓽ:.;ᯠ.lim^~100°=lim=0.ᦑX2-x)X*”>?@ᜧᨬVx2-1000..arcsin2(x-l)(x-1)2..x-1_..Cஹ.«•.1ᨴuInn-------------------=hm—F——=lim--------®0;hmcos-=1limarctan—"—x*-1tx-1ix♦1…\xJJbx291G1limarctan—=—H1Himarctan—IJᙠ.ᦑ⌱(B).i(rx2iox᪆:
3358.ᓽব=(yGG=0ᜐVWU()Aa=b,c=0Ba=b,c=0Ca=—Da=b,VAஹABஹBCஹCDஹDᫀB᪆VW`.Rx)ᙠx=0ᜐVWJᙠx=0ᜐᡠ]limf(x)=limf(x),ᓽkc=0=f'(0)=fM(0),xf*-+0*f(x)-f(O)f(x)-f(O)ᡠ]lim----------lim----------xMxx*x21xcos—+asinx,lim--------------=alim—=b=a=bxMXxMX
3459./(G)=|GQ3(Z),ᐸ8(G)ᙠfG=ᜐG)ᙠfG=ᜐVWIJ().Aᦈ)*0B(Q)—0Cg(2a)00D
3560.ᙠᓫ¢£z¤ᑖ᪆¢£¥ᨵ§¨©ª¨©«k+P¬Ḅ᪵Dᑣ2ᑡ®67Ḅ Az¤ᑖ᪆Ḅ¯Ḅ °±z¤ ᔲ}Bz¤ᑖ᪆ḄᎷ°± ´µ°±cz¤ᑖ᪆uZᒹ·¸()¹¤,Yᒹ·ᦔ¼½Ḅ¤¾D]=Gᕜ5-ᵨ‘z¤ᑖ᪆zᒹ·¸()¹¤,Yᒹ·ᦔ¼½Ḅ¤¾AஹABஹBCஹCDஹDᫀD61.P&…&PᩭÅ6᩵;<Ç"ÈḄ᪵DÉÊᎷ°±ËÈ. ÌÍᵨÎÏ+/AÐv°±=ÑBᨴ1v°Ó"=\C<7^Ôv°±”=PDcr2|v,°ᖾ=JAஹABஹB
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65116.eDfgh▲ᵫklmy=l,4xy=1noly=x,y=ᡠᡂḄ☢'ᦪ;(.Jjf(x,y)dxdy=()Dfjfain20A/dOf(rcos0,rsin0)rdrB/dd'f(rcos0,rsin9)rdrpq20/*᳘Ptiin20C/dO/(rcos0,rsin0)drJsT5ffD/k/ߟ/(ucosvrsin)drpv<2«in2dAஹABஹBCஹCDஹD3ᫀ:B&᪆0᪷yzA{,ᙠᙶ᪗)HᑖḄᑖFD=<(r,0)—<0<—,1=66117.(ᳫ¯x2+y2^z:<4a~2 °¯x±+ஹy2axḄ²ᐳ´ᑖḄ¯HV=()41ddi\/4a2-rdrAஹJJ-Jr2dcoU?L■-----s-8I|.4Q2-JrdrBஹJoJQ/µ/2«eo«d_______4[dfff\/4a2-r2rdrCஹJJ¶de/>/4fl2-r2rdrDJvBᫀDBE᪆D·¯ᐵ&¸ªᙶ᪗☢ST »&x(ᓶ▲´ᑖK¾⚔°¯ ᑭᵨ±"HᑖÀÁ¨Â Ãᵨᙶ᪗aÅRÆ7,ᑣÈḄÉᑖÊKD1Iio.Ava=~a,b=4Bஹa=4,b=T2C\a--2,b——8Dஹa=1,b=-6BᫀDBE᪆DËÌD¬ᑖÍḄ▲lim(*(2)=0,ᑖÎḄ▲Ỿಔ+Ñ+~wᨵocᑖL2L2
67ÓÔÕᨵ▲Ö1×e*2+62+6=0,4+2a+6=0,6=-4—2a,ØÙQÓx~~^21-N-2=H-2_____=|.______N-2______LZ*2+-+b/ÚÛ2+az—4-2a.7ᗂeÔ(21+2+aI11_1=⇵Þß=à(áᡠ-a=4,6=—12119.ãᔣᵫᔣBäa1,a2,asåឋ⊤Ì,ᑣ]ᑡèéauḄKDAvmᙠ(ä/ᐰëḄᦪk1,k2,•••,ks7ÓB=k1a2+k2a2+ “+ksasᡂBஹmᙠ(äᐰëḄᦪk1,k2,ks7ÓB=k1a2+k2a2+…+ksasᡂGmᙠ(äᦪk1,k2,ks7Ó=B=k1a2+k2a2+…+ksasᡂDஹS3Ḅåឋ⊤ìÓí(BᫀDCE᪆DËÌDᔣPîᵫᔣäa1,a2,…%asåឋ⊤Ì ï⌕ðmᙠ(äᦪk1,k2,■,,,ks7Ó'3=k1a2+k2a2+…+ksasñᡂ Sk1,k2,%,,,ksKᔲëÃóᨵôõ ᦑ⌱⚗AஹB◀AḄåឋ⊤ìÓí( ᑣ⌕ða1,a2,…%asåឋúᐵ .⚪aóᨵû·ᩩ` ᦑDü/ᡂUXi.X2,…X16Kᩭþu Nu.22Ḅ᪵᪵ᙳᑣᙠ℉ឋa=O.OKᎷp=5;HiQ"⚪ A.{|X-5I<0.98}B.{IX-5I>0.95}C.{IX-5I<0.95}120.D.IX-5I>0.98}AஹABஹBCஹCDஹD
68!ᫀD#$o200342=22'Ho0U=MO5Hi0M*MO»%&'()•■^-^o ஹU=CT.13*_”2ᐸ-“=56*/5 ,00“2ui-0/2=L96,ᡠ234-5120.986᪆8,:2'…'X*; N@,4 Ḅ=>᪵,x⊤@᪵ᙳ,ᑣḄ121,BCD1-aḄBCEFA(x-ua/2-j=,x+uL2_B(x-▲4ᦈx+"_2_z(x-u.5.x+uC/g2D(x-ua/27AஹABஹBCஹCDஹD!ᫀDfn7'X*V_z*_,IJIK+-M11ᙠxOy☢PḄᢗRS☢TUV()122.1x-2z+3=0(2)Aஹx:+20y:-24x-116=0Bஹ4y:+4z:-12z-7=0Y2+20Z-24x-116=0Cஹ(z=0
69J4y:+4z*-ফ-7=0Dஹ1=0!ᫀA6᪆ᢗRS☢TUV=>/ᐗTUC,D⊤@ḄVIJ\B-ḄTU]z^_`VLᙠxOy☢PḄᢗRS☢TU123.bcdeXfYghij,#$XW1)=p,P(YW1)=q,ᑣP(max(X,Y)W1)kl0.Aஹp+qBஹpqCஹpDஹq!ᫀB6᪆:bcno{max(X,Y)W1}={XW1,yW1},pq,ᵫst8uvᑮP(max(X,Y)W1)=P(XW1,yW1)=P(XW1)P(yW1)=pqᦑ⌱B.124.zᑡ|}~ᑖ-ᦣḄV08⁚Aஹ,,XSnAB\J1—xDஹ»!ᫀ:A
70ᦈ¦§“Gᵪ-ᑗG1-ᑘ0+¬=/S',f||ᦣឋ=,ᦑᦈ..(1,ᦈu:;-r,ᦣ6᪆.A4Bi⌮M4+_⌮B4C4+3_⌮ᑣ4-5_⌮125.A,Bᙳn▤T▣z☢;ḄV().DA+8_⌮ᑣ4315_⌮AஹABஹBCஹCDஹD!ᫀ:B"ᙳ_⌮.ᑣM,o.0ভ=|/0=M='r1*0.ᡠ218•_⌮ B);6᪆:126.ᙠEF(a,b)ᑁ,f'(x)=g‘(x)ᑣzᑡku-┯©ḄV()Aஹf(x)=cg(x)Bஹf(x)=g(x)+cᓽX)=¬g(x)Cஹ
71Dஹdf(x)=dg(x)!ᫀA6᪆A⚗®¯°±²vf'3x4=cg'3x4,f⚪³^´127,320124ai,aj=nµᔣe·#$a_,a>⁚Jឋgᐵ¹@.?J22ឋ»ᐵᑣzᑡ-;ḄVA.8¼_ᵨat,aZJឋ⊤@B.ai¼_ᵨa?,as'0Jឋ⊤@C.a,:¼Jឋ»ᐵD.2ᜧ&¼JឋgᐵAஹABஹBCஹCDஹD!ᫀB6᪆À@:Á▭3Jឋgᐵ #$ ÃᡧᵫJឋ»ᐵᵫឋÅ_$ಘÇᓴBJឋgᐵ Éᑖgᐵᐰgᐵ ÃË@®Jឋ»ᐵᦑÃ_ᵨÌᡧ/Jឋ⊤@128.ÍÎÏÐ=⚗Ñ&noA⊤@“Ò=ÓᜫÕÖÒ/ÓᡂØ”ᑣnoÌ⊤@Aஹ®ÓᙳᜫÕBஹÒ=ÓᡂØᡈÒ/ÓᜫÕCஹÒ=ÓᡂØÖÒ/ÓᜫÕDஹ®ÓᙳᡂØ!ᫀB
726᪆À@B⊤@“Ò=ÓᜫÕ”C⊤@“Ò/ÓᡂØ”511]A=BC,'UC,B⊤@“Ò=ÓᡂØ”,C⊤@“Ò/ÓᜫÕ”129./µÝÞßbcde X,Y Ḅᭆ᳛äDåஹ[ç="x>0,y>0/ è»' /éᵞ,I°ᐸíᑣîᦪk= Aஹ2/3Bஹ1Cஹ1/2Dஹ2!ᫀD6᪆ᵫᭆ᳛äDḄឋÅᨵ[xfx/x.jkirdr=ke4dxL'dr=1J_XJ-X7V-7-Joh,6vk=2óôᦪõöᙠ*=-2ᜐᦈᙠX=3ᜐᦣᑣøôᦪ 130.ᓰAஹ¼ᙠx=-3ᜐᦣBஹ¼ᙠx=2ᜐᦈCஹ¼ᙠ|x|>3°ᦣDஹᐸᦈEF[-2,3 !ᫀC6᪆ᑭᵨüýþÿᳮ
73f.2x*f(x)=lim'.(x)=()fJA.-(sin2x)1"B._(sinx)e-gஹC.-(sin.x)e'*BXD.-(sin2x)e-5BஹBCஹCDஹDᫀA᪆ᦪ〉Ḅ,ஹ(sin2c¶qV—XM")ᑣ/'6)=-(·2¸3’O132.P(1,1,-1)ᐵ ☢x—2y+z—4=0!ḄQḄᙶ᪗$()Aஹ(3,3,1)Bஹ(3,-3,1)Cஹ(3,3,-1)Dஹ(-3,3,1)ᫀB᪆⌕'()ᐵ () ☢Ḅ!*ᐜ',-.ᙠ() ☢0Ḅᢗ2M,ᑣM3()4ᡠ'Ḅ6ᵫ6ᙶ᪗89ᓽ*'ᡠ';ᡠ'
743Q(x,y,z),AP(1,1,—1)E ☢ITx—2y+z-4=0ᚖOḄOPQR3I(x-1)/1=(y-1)/(-2)=(z+1)/1,ᓽ*=U+1,y=-2t+l,z=t-1XᐸZᐭ ☢QRt=1,ᦑOPIᙠ ☢]Ḅᢗ23M0(2,-1,0)oᑣM$P`PQḄ6ᵫ6ᙶ᪗89*x=2X2—1=3,y=-1X2—1=—3,z=0X2+1=1,ᦑᡠ'Ḅᙶ᪗3(3,—3,1)133.;ᦪf(x)deᵫfPf(x)ᙠXghᡂḄjᙽ☢l3mஹ52ஹ⎃(0ஹ⎃ஹ⎃ᙳᜧ 0)sᡠt()=p,$=2S-q,wpᐵq,ᑣy ()2Aஹp-qBஹq-pCஹp+qDஹ2(p-q)ᫀB᪆ᵫlᑖJ"(g=5+SS3=TS-S0+SjS+SᑣxA=q-
75134.(2013)»Dᵫ3r=x,x=l,j=0ᡠᡂḄ¼½¾'ᑣHᑖJJfGcWdzdyDᙠᙶ᪗ḄH¿ᑖrixB.ᵫᡝf(rcos0,rsin^)rdᔆA.Ḅ/(rcos5Trsind)rdrJJoJ0J0c.j0kÀÁD.ᑗÊ(3)*0J0AஹABஹBCஹCDஹD.ᫀ0BÂÃ:D0«'IFq==l,rco^-l(r-cos0),&᪆01gஹcḄËMÄÅ=PkI'M+(rcos^,rsin^)rdrJ0J0ÆÇᑖ/=(-p=HÄÌ().135.J/T7?Aஹ1/2Bஹ-1/2Cஹ1Dஹ7
76ᫀC᪆ᦑ⌱(C).JC2JoC-□0136.ᦪf(x)=(e"x—b)/[(x—a)(x—1)]ᨵx=0,ᨵ*x=1,5JIJa=(),b=()oAva=1b=e”Bஹa=0b=e"2Cஹa=0b=eDஹa=1b=eᫀc᪆ᵫx=0$ᓟ(x)Ḅ*)a=0oᵫx=1$f(x)Ḅ*liK(X-1)=0lim(ex-b)=0w,*).b=e0▲ÐÑÒḄÓÄÌ:137.AஹtBஹ-tCஹ1Dஹ-1ᫀB᪆tᑭᵨy¡¢ᣚxTO¥In(1-tx2)~-tx2,X.X,¨'▲
77138.;ᔣ¡Aa1=(1,-1,0),a2=(2,1,t),a3=(0,1,1)Pឋ¯ᐵ,ᑣty Aஹ1Bஹ2Cஹ3Dஹ0'ᫀ:c᪆ᵫᔣÕÖ4lឋØᐵÚ{ÛÜÝ▣4ḄßᑡÅF0.Ì'ᵫ1-10IAI=21t=3-1=0,011{ᑮ"3.ᦑ⌱(C).139.; ☢TTḄQR3x+z-3=o,±²⌱⚗6┯¶Ḅ$()Aஹ ☢nᚖO zox☢Bஹ ☢nᚖO ygCஹ ☢nḄ·ᔣ¡3i+kDஹ ☢n vgᫀB
78'l1f;ºB»4=121,A*3┠½¾º▰ᑣA"(1,1,1)À+A*(1,2,1)TJ13,+A*(1,1,3)T=()oA.(2>4,4)TB.(7,6,2)TC.(1,3,2)TD.(2>2,2)T140.AvABஹBCஹCDஹD.ᫀ0DᵫA*A=|A|E,|A|=2,)A*(1,1,1)T=2(1,0.0)T.A*(1,2,1)T=2(0,1,0)T,A*(1,1,3)T=2(0,0,1)Àᡠ±ᨵ&᪆:ᦪfáHâ2ᙠã'2äᔠæçᨽéêᳮᩩíḄ=ÓF:141.”A.41D•gïB,-42C—72AஹABஹBCஹCDஹD.ᫀ0A
79᪆ÁtÂÃᦪÄÅÆÇᨽÉÊᳮḄᩩÌᑭᵨÍḄÎÏ',(Ðf(X)ᙠÑ1,2Á0deᙠ(1,2)*ÒᑭᵨÆÇᨽÉ6ÐÊᳮf(2)-f(1)=f'(3)(2-1),',ÔÕ▲Ö(zsinᓝ.jsirujḄÎÜ$:142.Aஹ-1Bஹ1Cஹ0DஹÞßᙠᫀA᪆tᑭᵨᨵàᦪ4álâã.ä⌕▲åæ143.;¾ç¡X,Y¯éêë,ÍìḄᑖíᦪ3Fx(x),F(y),ᑣ2=(11ᔊð,Y}ḄAF(Z)=MAX{F(Z),F(Z))zXTBF(2)=MIN{F(Z),F(Z))ZXICF(z)=1-[1-F(Z)][1-F(Z)]zXtD"òóôFZ(Z)=FKZ)ᑖíᦪ3().AஹABஹBCஹCDஹDᫀC᪆FZ(z)=P(ZWz)=P(min{X,Y}Wz)=1-P(min{X,Y}>z)=1-P(X>z,Y>z)=1-P(X>z)P(Y>z)=1-ூ1-P(XWz)11-P(YWz)=1-11-FX(z)ூ1-FY(z)⌱য.
80.s,ýQþ(X,y)||X|<1,ÿ ᐸᑜᑖ Dk(k=1,2,3,4),A=ffrcosxdxd)',⁐=()♦y144.Aஹ11BஹI2CஹI3DஹI4!ᫀ#A$᪆#ᵫ'ᑖ Ḅ)*+,-./'ᑖ D20D412ᐵ4x67/8'9ᦪ2ᐵ4y9ᦪ/ᦑ12=14=0?ᙠD1=A(x,y)|0WyW1,EyWxWyFᑁ/ycosx>0,ᙠD3=A(x,y)1WyW0,-yWxWyFᑁ/ycosx<0,ᦑ11>0,I3<0o145.OY=x3(x-4)QᓫS?ᔣUVḄ W#Aஹ(-8,0)Bஹ(0,+8)Cஹ(2,+8)Dஹ(3,+8)!ᫀ#D$᪆#Z[#\]^/9ᦪḄᓫS W(3,+8),V W(-8,0),(2,+8),ᦑ_ᔠᩩbḄ W(3,+8)
81146.ðñMN—1,1 ònkl2/g2cosy-1=0ñ0ñ4ḄᑗlØᚖoḄolA.ᔆôõgöC.1=§q+1 D.j—1=—^3q+1 026AஹABஹBCஹCDஹD.ᫀ0C&᪆0ÂÃ:÷◚ᦪùᦪ⊤gû'ᑗlü᳛gû|3ᵨ ᳛yᑭᵨᫀC
82[.tanx-xtanx-xஹ=hm^----=hvm---——(x->Offj.tanx^x)5XTx"tanxxx3sec2x-1tan2x1----2-=hm---=-$᪆:VW3x‘3x*3148.6⚗8ᦪ:;ᑨ=lim>=9<1?@6⚗8ᦪᦈBḄDEᩩG?I1n-*oodnAஹᐙᑖᩩb/efg⌕ᩩbBஹg⌕ᩩb/efᐙᑖᩩbCஹᐙᑖg⌕ᩩbDஹQfᐙᑖᩩb/?fg⌕ᩩb!ᫀ#A$᪆#Z[#ᑭᵨk⚗mᦪnopqrmᦪᦈt/uᑨrk⚗mᦪᦈtwᨵᐸyḄzp/{u⌱A149,}~3ᑡᔣa/#=2,3▤▣4=,ᑣ#Aஹ02AḄ4ᱯo0ḄᱯᔣBஹa2AḄ4ᱯo0ḄᱯᔣCஹB2AḄ4ᱯo2ḄᱯᔣDஹa2AḄ4ᱯo2Ḅᱯᔣ!ᫀ#D᪆#Aa=aflTa=2a0..J1+x+Jl—x-2lim------w-------=150.X—0X*Aஹ1/4
83Bஹ-1/4Cஹ-1/2Dஹ1/2!ᫀ#B$᪆#xTO/(J1+ߟ-x|-4=ᳮ/(S+X+J1-X+WX=7T[1=lim-----------=-—4151.9ᦪf(x)=(x-1)(x+2)(x—3)(x+4)■•(x+100),ᑣf'(1)=()oAஹ-99!/100Bஹ-100!/101Cஹ-101!/99Dஹ-101!/100!ᫀ#D$᪆#᧕~f(1)=0,ᵫᦪḄr,+/«-/(1)r(i)=]x-1=g[(x+2)(x-3)(x+4)…([+100)|101!=3•(-2c5•(-4)…(-98>101=-100
84J2পhg(x)=152.9ᦪf(x)ᙠ W-1,1U,ᑣx=029ᦪXḄ()AஹWBஹ+¡WG£¤WDஹ¥₩W!ᫀ#Bg(ijk$᪆#ᵫ9ᦪ'+~/g(x)ᙠx=0ᜐ£r/ᓽx=02gHmg(x)=lim----------=lim/(x)=/(0)(x)ḄW?IA?XI/ᦑx=o2g(x)Ḅ+¡WKAPBCJM153.DAQAஹABஹBCஹCDஹD
85!ᫀ#A®¯°#*UiF1ᵪ/Tᓽ+R8.᪷µ¶"KH'•>■.".«1·df,4H¸¹º»¼+½".IttiiA)ttKt”À½Áᑡ"ÂÃÄḄÅᓡ"ÇÈÉ.LI«-s.trftwr3ᑮË7)2ÌzÍ*ÌÎ*ᳱÐzÑÒ.ÓÔÍ¥kÖ■Â▤ØÙ?ÚÛḄÜÝÞ.ßÌ3Âà4ÂáØÒº+âḄᑡãä.IXḄ-åæ$᪆•--Jr.tt,f^,
86$᪆:73_4-+1Z[:ᑭᵨþ(1+ÿḄᓽ(1+6=-5+•+…+(ᐰᒹ+…(-1&1),ᦪ ᦪᓽ ᑮ156.y=f[(3x-2)/(3x+2)],f'(x)=arcsinx"2,ᑣ(dy/dx)|x=0=()oAஹ2n/3Bஹ3n/2Cஹ3nDஹn/2'ᫀ)B*᪆),⚪.Ḅ ᦪ/ᓟ[(3x-2)/(3x+2)],┐3456ᩖ ᦪ 89u=(3x-2)/(3x+2),8ᑮ:ᓫ ᦪḄ<ᑣy=f[(3x-2)/(3x+2)]=f(u)o=ᵫ⚪? f'(u)=arcsinu"2,ᦑdv,ஹஹ(3r-2ஹ’-=/'()•“2=arcsin//*•-------'dxx*Jx+2j.<3X-2Y'3(3X+2-3X+2)=arcsin'-------•---------------2------Jᑣdy/dx|x=0=[arcsin(-1)”]•3X4/4=3n/2o
87’0x<0(x)=x200,g&=•jX,,ᑣᐘX1ᡠmḄᑖO/)yf-1A.N„ B.NvO,1a2 C.NOH D.NvO*/ AஹABஹBCஹC
88DஹD3ᫀ:A*᪆)nXj~N((),XgoX]0pq,Xg-XwwN(-pg+tf2).159.rᑡtu⊤ᓫwxy☢Ḅ/)之222A+xR工+上2233c/Dy亚之-32+-32缸A入B心c入D'ᫀ)A*᪆){)ᵫᓫwxy☢Ḅ᪗}~ A]xL?zA(l,0)ᑮB(—1,2)Ḅ}ᑣᑖj(N+y)ds:160.A.-272B.2C.2D.0AஹABஹBCஹCDஹD'ᫀ)B
89*᪆){)LḄt)y=—z+l,x=z,ds=a&r,-KxCl,ᓄᡂᐗᑖ)(N+y)d5=[n+(—7+1)]drLJ-]ᨵ1/L?2=0ᑣxfa4)/()161.X-aAஹᨵ▲Ḅ ᦪBஹᨵ ᦪCஹnMDஹ(x-a)▤Ḅn'ᫀ)D*᪆)3lima=0,lima/B=0,a/B▤Ḅnᵫlin;(x-a)=0,f(x)_,ᡠ8—ax-ax—■f(x)/(x-a)▤Ḅn.Af(x)=[x](<Ớᦪ)Bf(x)=sgnxX?'/ᦪ)Cᑣ=BC162.rᑡ ᦪ/¨© ᦪḄ/()ª"ExAஹABஹBCஹCDஹD'ᫀ)D
90᪆:᪷®¨© ᦪḄ¯ ᑖ° ᦪ±²¨© ᦪ³ᯠ⌱⚗(A)ஹ(B)ஹ(C)·ox_0r±/¨© ᦪ¸⌱⚗(D)Ḅ ᦪPxy]¹ ᦪ/(x)=shx=^-P¨© ᦪ.2º?:±⌕½ᑮᨵa`⊤¿Ḅ ᦪÀP/¨© ᦪÁ163. ᦪ6Â/"ᙠ1ÄḄÅᦪ/)D.-/a2—x22-7a2—x2AஹABஹBCஹCDஹD'ᫀ)A*᪆){:ᑭᵨ ᦪÈḄÅÉÊËÌᓽÍ=0)/=+'x2_a2~2xzy'=Va2—xzx/a2-xzVaz-x2164.I ᦪf(t)ÏÐÑ-44/«)>0Ò8Ó=ÔÕ_”ØÙᑣᙠ-a,aᑁÛᨵ()Aஹg'(x)=C(Üᦪ)Bஹg'(x)/ᓫÝÞßḄCஹg'(x)/ᓫÝàáḄDஹg'(x)/ ᦪâ±ᓫÝ'ᫀ)B
91g(x)=[.(*-t)/(t)dr-[(x-t)f(t)dt=x£/(t)dt-f/(Odt-xfy(l)dt+/g'(x)=+xf(x)-xf(x)-£/(Odz+xf(x)-᮱(ä=[?@+(B*᪆)=g(x)=f(x)+F(x)=2f(x)>°ᦑg'(X)ᙠ(-a,a)ᑁ/ᓫÝåßḄ165.P(A)>0,P(B)>0,P(AB)=P(A),ᑣrᑡᔜ±ᡂqḄ/()A.P(BIA)=P(B)B.JU-bPUc.p(AB)=PAஹPBஹCஹDஹBçè'ᫀ)D*᪆)ᵫPvA0,PvB0,PvA|B=PvA Aஹéêçpq,SPPvAB=PvAPvBsPvB|A=PvBsPvA|5=PA,¸pqWçè.IFvx⍩fvxḄaí ᦪᑣ‘U"=ve1OO.'CXA--+CBஹ-2Fîᔣ+CCஹ2FvA+C-ðಘ+Cn'ᫀ)C*᪆Ôòó;2ᵨdô=2F(õ)+c°
92167.Iöa÷çpqḄJKLMX YᑖømN(0,1) N(1,1),ᑣ()OAஹP{X+YW0}=1/2BஹP{X+YW1}=1/2CஹP{X-Y^0}=1/2DஹP{X-Y^1}=1/23ᫀ:B*᪆)Z=X+Y,ᑣZwN(1,2),ᑣP{ZW1}=1/2168.If(x)ᙠ(-oo,+oo)/Ꮤ ᦪF(-x0)=-K*0,ᑣf(xO)©:A.-KB.KC.—úD.-klxûAஹABஹBCஹCDஹD'ᫀ)B*᪆){)ᑭᵨüý“Ꮤ ᦪḄÅ ᦪP ᦪ”f(-x)=f(x),-f'(-x)=f'(x),ᓽf'(-x)=-f'(x)ox=x0ᐭf'(-x0)=-f'(xO),f'(xO)=K169.ᦪy+by'+cy=0Ḅឋ ᐵḄ y1=4—2xcosx,y2=e"-2xsinx,ᑣb=(),c=()Aஹ322Bஹ223
93Cஹ5#4Dஹ4#5&ᫀ(D᪆:ᵫ⚪-./0ᦪḄᱯ2r"+br+c=OḄ r=-2±i,ᑣb=—[(—2+i)+(-2-i)]=4,c=(-2+i)X(-2-i)=50170.QIᵫJ☢z=x2+y2,y=x,y=0,z=1ᙠPQᓶ▲ᡠUᡂḄWXY,f(x,y,ll/(x,)ᙠ[\]ᑣ^_`(gfJ-cnA.j'dzj1^f(x,y,z)dzB.Jdrdy,/(x,j,z)dx0JyJ97cajGD.JZd>|dz|f(z,»z)dzAஹABஹBCஹCDஹD'ᫀ:c᪆(fg(hQḄijklwxyQᙠxOyz☢[ᢗ|XY(Dxy(x2+y2=1,ᑏᙠnoᙶ᪗rᐜztxᨬtyḄ~ᑖ**x+y=1»=v
94ᔣ1=(1>2>3>4)a=(2,3,4,5,)T,03=(3,4,5>21716)4=(%5,6,7)Tᑣ(CJ],02»304)=()°Aஹ4Bஹ3Cஹ2Dஹ1ᫀ:C▣(“2,3,4)h_ᣚ<1234ஹ'234'ஹ2345-0-1-2-334560000,,4567)',0000)᪆(ᦑᔣ(12,3,4)Ḅ 2172.XYᑖ,ᑣ().AஹX+YQyᑖBஹ(X,Y)QyᑖCஹXY¡¢ᐵᑣX,Y¢£¤iDஹ¥XY¢£¤iᑣX-Yᑖ&ᫀ(D᪆(¥X,Y¤i¦ᑖᑣX,YḄ§-ឋᔠ©ᑖ,⌱(D).173.«/x+y—•zue-x,xe'x=tant,y=cost,ᑣ(dz/dt)|t=0=()Aஹ1/2Bஹ-1/2Cஹ1
95Dஹ0'ᫀ:D᪆(ᵫx+y—z=e",xe/'x=tant,y=cost,ᙳt%'+"+¸’=#*(l+x)exx"=secQty'=-sinrt=0ºx=0,y=1,z=0,»I]xt=1,ytz=0,zt'=0oA001010100100"B00001000'C[0>0001D10001Q001174.rᑡ▣¾¡I_▣AஹABஹBCஹCDஹD&ᫀ(B
96175.A n▤▣,rᑡÀÁxḄI().B¥Â~8,»Ä▣A▣ÅÆÇQo▣CÈR(A)=R/I22i/!0-8ஹ/I0Oi(Q^LØ:A=11-3101!),010)/'o0o''o0o''00(Ù A.ÚoᓄᡠÚÛᙠ.Ü▣P,ÝP'AP=()`Ir(A);r(),2mD).A.2B.142C.0176.Þ(2,1,0)ᑮz☢3x+4y+5z=0Ḅàád=()□D-41HAஹABஹBCஹC
97DஹD&ᫀ(c᪆(᪷èÞᑮ☢ḄàáḄéê./ë+§•o177.íjî~ïð4òḄᙳÒhXóôᑮõö÷ 95%ḄõöXó-ùIᢣûXóAஹzᙳüíj95%ḄÒBஹzᙳü᪵þ95%ḄÒCஹᨵ95%Ḅÿ ᪵ḄDஹᨵ95%ḄḄ ḄᫀD178.▣Aᙠᦋ Aஹ Bஹ"# ᣚCஹ&')▣Dஹ&'*)▣ᫀC+᪆A⚗./▣ 0ᦋ ▣Ḅ.ᓽrA=rAT6B⚗."# ᣚ07 ▣Ḅ6D⚗.&'*)▣89:/A;<=>?"# ᣚ.0ᦋ ▣ḄDE*=±+lnl+e.HIEḄᩩᦪJ179.
98Aஹ0Bஹ1Cஹ2Dஹ3ᫀD180.=C▣ADB8E.ᑣᨵ().Aஹ4—KE=B-AECBஹ|A|=|B|Cஹ/:8JḄᱯLᐭ.▣ADBᨵ8JḄᱯLᔣODஹADBᙳDJQR/S▣8E.ᫀB181.TUV OXḄXYZᦪf(x)=Ae.x-(4>o,Adeᦪ).ᑣᭆ᳛0,x<4P{N0)ḄADapᐵ.VᨴḄsᜧusᜧBDapᐵ.V4ḄsᜧuvwCD4pᐵ.VaḄsᜧusᜧDD4pᐵ.VaḄsᜧuvwAஹABஹBCஹCDஹD
99ᫀClun——=2182.TUf(x)ᙠx=0ᜐyz{ᑁ}~.*1-COSX,ᑣᙠx=0ᜐf(x)00Aஹ0Bஹf'(0)=2CஹᜧDஹwᫀD/(-v))rnlim-----=2>0+᪆TUf(X)ᙠx=0Ḅyz{ᑁ}~.1-CC8.V,ᦑf(0)=0,V(0)=0,(0)=2,ᦑf(x)ᙠx=0ᜐᑮw183./V O.=ᦢᙠ.ᑣ'Dῳ0#:Aஹ0BஹXCஹEXDஹ(EXᔆ3ᫀC,=u=u(x,y)dZᦪ=1"=X,ᑣ-&9dll.=(…184.Q*Aஹ1/6Bஹ1/2
100Cஹ-1/6Dஹ-1/2ᫀDᵫ"au/ax+(8u/ay)•2x=oducii1du11—=X,ᦑ—=---------------X=—⊟2r2r.m:2x2+᪆:l_cosx-x,n{2£ஹ'¤;.ᐸ§g(i)¨ᨵ©Zᦪ.ᑣ«ᙠT=0ᜐ__z/1),«&uAஹ▲0ᙠBஹ▲ᙠ.®0}~Cஹ}~.®0DஹᫀDv')-/(°)..I-COSTt(0+0)=liiu----------=liiu---——=0.*TTx*7"¯.f..x2p(x)f(0-0)=hm------:---=Inn-----lin)g(.v)x=0.*-*■■->01ᐸd»6ᔣ¹ºIIop…01ᐸd186.sᑣr=s¨ᔣ¹ºIDᔣ¹ºH#¼Ḅ()Aஹᐙᑖ*¿⌕ᩩÂBஹ¿⌕*ᐙᑖᩩÂCஹᐙᑖ¿⌕ᩩÂDஹÃ*ᐙᑖÄ*¿⌕ᩩÂ
101ᫀC+᪆ᔣOº#¼Ḅᐙ⌕ᩩ¨ÅÆᨵ8JḄ187.OO=420,5.=%+2+…+4,ᑣᦪᑡÉSJᨵ©¨Ìᦪ4ᦈÏḄ()11=1AஹᐙᑖᩩÂ.®*¿⌕ᩩÂBஹ¿⌕ᩩÂ.®*ᐙᑖᩩÂCஹᐙᑖ¿⌕ᩩÂDஹÃ*ᐙᑖᩩÂ.*¿⌕ᩩÂᫀC+᪆ᑭᵨÌᦪᦈÏÒÓL,x+3y+2z+lss0188.¸ᨵØÙ.ÚQ)-1°-3-ÜÝÞ☢à4x-2y+z-2=0,ᑣØÙL()AஹÞ<:nBஹᙠnãCஹᚖØ:IIDஹDIIæçᫀCØÙ“66",6*ḄCᔣᔣ¹djl.3,2}x<2,-1,--102+3=010}={-28,14,-7},Þ☢Fl:4x_2y+z_2=0^íᔣ¹dn=——>+᪆.{4,-2,1),ᵫ:"n,ᦑᨵLJ_n°¸Ldᙊ*2/4+//9=1,ᐸᕜñòdóôõL(9x2+4y2-3x)ds=189.()°
102Aஹ9/Bஹ36/Cஹ32/Dஹ18/ᫀB³d÷ÙCødX2/4+Y2/9=1,ᦑ.÷ÙLᐵ:ஹùú.ᑣJ»3xds=0ᵫ÷ÙCøCøU9x2+4y2=36,û´üýᐭþᑖü.ÿ =©L(9x2+4y2)ds-^3xds=103191.(2012)¡|z|v£¢qᦪ/(;=£^Ḅ¤¥¦¨©6ªḄ?:«JLτ««A.S(-l)"+1(2x)"B.S(-2)"x"»=0n-0nD.¬2yC.S(-l)2"x"n~ln=lAஹABஹBCஹCDஹD ᫀB)*:|,"ᓽ/JvhvI".᪆:ULtCt/(x)=^12w45rr*=l—l+62—…+(—i76”■)Z=£(—1)”9”(/IOVD1-TX:;-=1/(26)+(2>2-(267+…+(-1)”(26@+…1ᓝZzoo«■»11=X(7)"(26)"=2(—2)"z”(ߟ5-104 ᫀD᪆ᵫḄc᪀5y1—y3ey2—y3MfgPQRy"+p(x)yz+q(x)y=0ḄKNὅGឋIᐵᦑl+p(x)y'+q(x)y=0Ḅ^c1(y1—y3)+c2(y2—y3),ᐸpc1,c2Z[\ᦪᦑRy+p(x)y'+q(x)y=f(x)Ḅ^c1(y1—y3)+c2(y2—y3)+y3,ᓽc1y1+c2y2+(1—d—c2)y30193.An▤▣K|A|=0,ᑣrᨵAஹApt/uᐗwᐰ0BஹAḄynuMᐸznTuḄGឋ|ᔠCஹApᨵ~ᑡfgᐗwᡂDஹApt/ᑡMᐸzn-1ᑡḄGឋ|ᔠ ᫀD᪆•|A|=0MAḄஹu(ᑡ)GឋᐵḄᐙᑖr⌕ᩩ⚗LMᐙᑖᩩMOr⌕ᩩᨵ(D)Mᐙᑖr⌕ᩩᦑg⌱(D),194.ᑖA.ᦈᡂB.ᦈᡂ04C.ᦈᵴ/D.ᦣAஹABஹBCஹC
105DஹD ᫀA)*:ᑖᡈ⚗¡rx^-2=nr£r=i-¯°=g(ln|z-1|-ln|z+2|)|71Z-1=-yln4=-In2᪆1+22M3¥¦Rx2£j2y/dx2+4xdy/dx+2y=0(x>0)Ḅ^(ªA.Ci/x-C2/X3£ᐸp¬C2Z[\ᦪªB.ci/x+C2/X2£ᐸp¬,C2Z[\ᦪªC.Ci/x+C2/x3£ᐸpqC2Z[\ᦪª195.D.Wx-C2/x2(ᐸpJC2Z[\ᦪ)AஹABvBDஹD ᫀB¯Rx2d2y/dx2+4xdy/dx+2y=0x=eLᑣ¯RᓄD£D-1ªy+4Dy+2y=0,ᓽ£12l´2+3ᵫ´+2y=oᐸgḄᱯ·R¸2+3r+2=£r+1ª£r+2ª=0,¹q=-1⚗=-2ᦑº»¼ḄR¹^Y=qe-t+c2e-2t,ᑣ¯RḄ^Y=j/x+cz/x2ᐸp¿c2᪆Z[\ᦪBᦪ,(*)Hr?yIÀᑣrᨵ£ª196.QX+b,X>\Aஹa=1,b=2Bஹa=-1,b=2
106Cஹa=1,b=0D\a——1,b—0 ᫀB᪆ÅBᦪf(x)ᙠx=lᜐÀᑣf(x)ᙠx=lᜐÈÉÊlim/(x)=limf(x)K£(1)=£(1);ᦑx—¸x->rlimf(x)=lim3=lTË"*)=Ìᑁ+)“+Ï/প=ᑠߟ4^=T6প/¸irr+iÓA1-B+DNa,ᡠÕ7+6=1¹‘6=2P1°1A=101197.▤Ö▣A:1°11×ᑣAḄᱯ·ØM:Aஹ1,0,1Bஹ1,1,2Cv-1,1,2Dஹ1,-1,1 ᫀC
107᪆)*:Ù1ᱯ·RḄ᪷I/,=0,ÛÏØ00A(A-1)—1—(A-1)(A-1>2ᢥ² ᑡ|XE-A|=—1—1—1A—1“¨´0—1A-lJA(A-1)-1-A+l1=a-DJ+DQ-2)-0,Û(-1)(-1)=(A—1)A—11fÜᐭØ.Ù2QᵨÞÙßàá.ᑭᵨ”▤Ö▣AḄᱯ·ØÖ▣AḄuᑡ âãḄᐵäÖ▣AḄᱯ·ØQ.42,…,Ï”জ21•Az•å…æ@IA|.ঝ“+ç+…+21.=“+&22H------F110110(l)n|4|=1010-10-201101⌱⚗BஹDéêëa[+22+P¬"+22+33ì11+422+33=2⌱⚗AஹCêëᐭ1+4?+ᐭ3=4“+22+33=2oíAéêëXî•ᐭ3614|£ì|A|=-2,Cêë2I•43=-2=|A|«ᦑ⌱⚗Cᡂï198.B.3.a2Gឋᐵ,B."2,Þ3GឋIᐵᑣAai,«2,ot3GឋᐵB0ti,Ct2,013GឋIᐵc011ᵨ,012,3Gឋ⊤*Dᵨ8,012Gឋ⊤*AஹABஹBCஹCDஹD ᫀC
108Rx2y"-2xyf+2y=1/xḄ^()A.y=Cix+C2X2+InxB.y=Cix+C2X2+1/xC.y=Cix3+C2X2+l/(2x)199D.y=Cjx+C2X2+1/(6x)AஹABஹBCஹCDஹD ᫀDx=et,ᑣᨵñ=dy/dx=(dy/dt),(dt/dx)=(1/x)1(dy/dt),òᨵóyy”ôᐭ¯õᑖR¹ö-3÷+2ydrdzõᑖRø/3$2y=e-Ḅᱯ·Rù-3A+2=0,ᱯ·᪷Ï=+12,ᦑᐸfgúQRḄ^yO(t)=Ciet+C2e2tᐸᱯAe-t,ôᐭû/3ü+2v=e-'¹A=l/6,ᦑ¯RḄ^y=Cix+drdzC2X2+1/(6X)O᪆:f(x)=nx(1-x)n(n=1!2...)»MnMf(x)ᙠ0,1ýḄᨬᜧ ᑣ()o200.Aஹ2eB\e-1C\eDஹ2/e
1093ᫀ:B f'(x)=n[(1-x)n-nx(1-x)n-1]=n(1-x)n-1(1-x-nx)=0>1/(n+1)f(0)=f(1)=0,f[l/(n+1)]=n-[l/(n+1)]-[l-1/(n+1)]n>0,ᦑMn=[n/(n+1)Nl-1/(n+1)FlimA/=lim=e1W-K᪆:
