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Ëåêö³ÿ 1. Ïðîñò³ð ãåîìåòðè÷íèõ âåêòîð³â. Âåêòîðíèé ïðîñò³ð. 1 pageDate: 2015-10-07; view: 346. ÌÀÒ ÌÀÒ 0·0 Öx+Ö-x = 0 0·1 0·1/k∙F(kx+b) 0·√2-1 0·x=n, nÎZ 0·p/2+2pn<x<3p/2+2pn /cosx<0/ 0·pk/2, kÎZ /sinx×cosx=0/ 0·2pn<x<p+2pn /sinx>0/ 00·(a-b) 00·a¹2πn, nÎz 00·ó=õ ïó=sinõ ï 00·æàóàáû æîқ. {tgx>0sinx<0 00·2pn, nÎz {sinx£0tgx³0 00·-p/2+2pn<x<2pn {sinx<0cosx>0 00·p/2+2pn£x£p+2pn, {sinx³0cosx£0 00·2pn<x<p/2+2pn, {sinx>0cosx>0
00·(2pn; p/2+2pn) {tgx>0sinx>0 00·logaxP=plogax; loga(xy)=logax+logay; loga (x/y)=logax-logay 000440040.. ·(4;4;6) (Ð1) 000440040.. ·(0;0;6) (ÍÍ1) 0008099250614·1,6. 002211·[0;2] 0023152122030·7 00254352.. ·-2;-1;3 0034120·(õ-2)2+(ó-1,5)2=6,25 004240·-10;10 005170125·2,8 00550084...·5x3+8x2+9x-1 01·p/4+2pn<x<p/2+2pn 01000128160·x≤3 011·2/3 011·òүá³ð³ æîқ. 011000·99,1 011000·1000,1 01103·ln4 0112·ó=-2õ+3 01124·24,2 012·11/90 012·à=1/2 012·(-p/2+2pn; -p/3+2pn] È[p/3+2pn; p/2+2pn) 0120·2xln2 01205050·3 01212232·3 01242·ó=-2õ+3 0125025191625·9/8. 0125180· - 1. 012542328·x=6 012832086..·0,5. 01326313·1/60. 01326313·1/6 0133·1×1/4 01340051816…·0,0115 0145·-21 01603031..·30. 017400518..· 0,0147. 018224233·30, 0192·ó=7õ+1 02·2; -2 02·1 | π/20∫cosdx | 02·-1 02·ó=Öõ 02·π/2 021·[-1;0)È(0;1] 02123·0,14 02151508·0. 022·√2/4 02208·-Ö2-1 02212·(-¥; -3]È[7; +¥) 022220041·-2<õ<2 022233004·[0,5;1] 02231211·(-1;0]È(1;3] 0223532·5à8b5 02241·2p/3+2pn, 02260·(12;14) 022282·-Öõ 023·(-Ö3;Ö3) 023·2/3 0230222·3x-2y=9 02302222·(x-1,5)2+(y-1)2=9,75 02303·arcctg0,3+pn£ x<p/2+pn, {tgx>0,23ctgx 0230·6x-4y=5 023544·2; -5; -1 02374345005..·1 024503·6,75 êã. 025045·150 025112557117·0,35 0251425264·1 0252·(-∞;-1/2) 02528·-4. 02531621402..·(-µ; 5/3) 0253216·2 02822·[0;8] 028220·[0;8] 0301515· - 0,03. 03020302·1 03030302·1 03122361·(-1;3)È(6;+∞) 031231·y=-1 0313209020·0; -3 0315·(1; +¥) 032·6 03202·p/3 033·(2;3;5) 0322·0,35 032321·(-∞;1) 03249·ó=2õ 033·(2; 3; 5) 03320112·9/40 0332810·26 0333710..·48·10/27. 03340·-3 0345·-25 0350601·0,105 03506018·0,105 03510337·õ>4. 03521·õ= – 2,35. 03564·-9 0361·x>1 036240·-3 04·1/√2 041·II æәíå IV øèðåêòåðäå 04101751·[2,5;3) 0416·7 041828334·0 0422·0,7. 04221·ó=2 0423·àÎ(-¥;1]È[3;+¥) 04241·ó= -2 04252552·1 042560·(0,75;+∞) 04513·45 04513·-20 y=-0,4x+5 05·2 05·2/5 05·ó=(0,5)õ 051·-p+4pê, êÎZ 051200·40 êì/ñàғ. 0512003·400 êì/ñàғ, 1200 êì/ñàғ. 0514160125·25/24 052·0 0520·π+2πê, êÎZ; π/3+2πn, nÎZ. 05203·4,5 0520520·0. 052151·(-¥; 2) 0522·5×1/3 052233214·-1/3 05226·1/2 0524205...·2 052516·(- 4; -1) 05260·x>14 05260540·-2 05312·2cosx 05302·2 053224·(4/9;+¥) 05328· - 2 0534052·(2; +¥) 05390180090·225° 053927·3 054·4Ö5 054211·[-2;1)È(1;2] 05522·5 0555·5 0563525·õ=-1,92 05640·26 0566·187/330 05701535·ð=-0,3; q=0,25 05815· - 1. 0583·7/12 058525·200 êã. 060235·1 06023505·1 061411501..·25. 062·4/3 06251820212121·1,25 0625921227...·3;-5/2. 063·(1;4) 0632·õ2+ó2+6õ-4ó-12=0 06436·4,8 069528138·õ=2,3 07·7/9 07230·0;7/10 072767·1 07321·(2/3; 0,9) 0751241210·òүá³ð³ æîқ. 0751603815...·7. 0752523·õ=(-1)ê5/2arcsin Ö3/3-5+5pê/2 0758125480·òүá³ð³ æîқ 08·-0,18 08231·õ=1,5 08335·4,4 08544·270 òåңãå. 1·0 /ÀÂÑD...ÀÎ×BD/ 1·-1/2 1·2 |1+ sina| 1·2, 3, 4, 5 1·5 1·(-1;0) 1·(1;0) / ó=lnx / 1·[0; +¥) Öõ> -1 1·[2;∞) y=√x+1/√x 1·1/2 (õ-1) 1·4Ö3/27 1·1/(1-cosx) 1·cosa 1·cosx/2Ösinx+1 1·1/sinβ 1·tg(1-x) f(x)=lncos(1-x) 1·1+tg2x 1+tg(-x)/ctg(-x) 1·g(x)=x2-1. 1·(√3-1)/4 |êîíóñ| | ctgβ-cosβ-1/sinβ | 1·øåø³ì³ æîқ . (lgcosx=1) 1·8 ì. 1·à√à-1 / à-1 1·à)-1;1 á)æîқ â)[-∞;0] [ 0; ∞ ] 1·å÷ / åõ+1 1·x<1,x>1 y =x/x-1 1·x≥1 y=√x∙√x-1 1·x³1, x¹πn, x¹n, 1·õ≤0,õ≥1 1·õ-õ2/2 +Ñ 1·(-¥; -1] U[1; +¥) 1·2p |y=sin(x+1)| 1·-2p (π+arccos(-1)=-x 1·1/2π (øåңáåð ұçûíä) 1·1/√π (äөңãåëåê àóä) 1·p/4+pn, nÎZ 1·p/4 ctg x=1 1·p+2pn; p/2+2pk; (1+cosx=sinx+sinxcosx) 1·(pn, p/4+pn] ctgx³1 1·(-p/2+pn, p/4+pn] ½tgx£1½ 1·-p/2+pn<õ£p/4+pn ½tgx£1½ 1·p+2pn, cosx= -1 1·-p/2+2pn£x<p/2+2pn, ½y=Öcosx/1-sinx½ 1·-p/2+2pn<x£p/2+2pn, ½y=Öcosx/sinx+1½ 1·2pn, p/2+2pn sinx+cosx+sinxcosx=1
1·2pn<x£p+2pn, y=Ösinx/cosx-1 10·(0;1) 10·(-1;0) 10·(0;1/10) 10·1 10·-1 (√x+1≤0) 10·-p/2 (arcsin(-1)+arctg0 ) 10·15 10·2πn, nÎZ; π/2(4k-1), 10·20 πn. 10·20p ì (øåңáåð ұçûíäûғû) 10·5 ñì (øåңáåð ðàäèóñ) 10·50 ñì 2 10·5√2 ñì. 10·5Ö2 (қàáûðғà) 10·60 ñì. 10·a-b / 10 b. 10·òåð³ñ åìåñ ñàí æèûíò. 10·(-∞;-1)U[0; +∞) 10·1/ó2n+1 10·õ<-1, õ>1 10· xn+1=xn+10 10·p/2+2pn; nÎZ 1000000860·6 1000015·0,001:1000 100010010001·9. 100020·1728 àäàì 1001·õ1=0,1,õ2=100 1001025·13∙1/3 100122·50 ã. 100150·1100 100202·10 1003·101 100420100002·380 1005·ó= -4õ-4 100528·±4. 10055·30 ì 10058·±4 10065· -2970. 10081121275·0 1009998·50 êã. 1010·(0;1) 1010·0,1 1010·3√1/2 1010·3π/2 10101050·2550ë, 2450ë 1010111222...·2 10101260·480Ö3 10102·0,1; 1000. 10104·13. 1011020·5êì/ñ 1011293·19∙4/17 10112935·19∙41/60 1011455…·1∙7/11 1012·8 10120·10Ö3 / 3 1012002·140 ì. 1012101299·-1;1 101245·30Ö2 101260·3Ö3 ñì 10128·32 1013·120 äì2 1013·10/3 ñì 101313·12. 101370120·0. 1015·6 1015·15 ñì. 1015·10,5 10150·10 ñì 10151112075·0,1 101515·-1/3; 5/3 1016·6 ñì 1016·4,8 1016·2 ñì 1017211·1512ñì2 10172118·144 ñì2 10172118·1512 ñì3 10172120·1680 ñì3 10174·25 ñì 10178·6ñì 15 ñì 102·(-2;5) 102·(x-1)2+y2=4 102·1/x-5 102·(õ-1)2+ó2=4. 102·12 ñì2 1020·1+lg2 1020020300·16 %. 102040·10230 102043510·11 102068·900 10210·-3p/40-pn/2; nÎZ 10210·Òүá³ðëåð³ æîқ. 102131·11 102135210225·-2,5 1021523·(5a-b) (2a+3c) 102222·3 102235·±1;±Ö6 102251425..· -1/2; 1/2 10231·(-∞;-5]È(-1;2] 1023513313·1,6 102425·408 ñì2 102426·90° 10247·676p 102513·40 ë. 1026·60 1027295272·1900 ì3 1028·2 %. 103·81 103·- π/3 103·p/6 1030·200 ñì2. 1030·(-∞;-10]U(3;+∞) 103048·5/sin480 10305·2,5 Ö3 äì 103056·90 103113311·3√3 10313423526·49,686 êã 103206·–18,9 103213217·2·1/7 1032302·4êì/ñàã 103235·14 103242·à=-5 10336 ·2079 1034875·Ö3 10352520·60 êì/ñàғ; 80 êì/ñàғ. 1036251·40,04 ìûң òã. 10364034216·10(b+4)/b 10386·2õ+3ó 104·1:250 10405010·5 104133·13 104212·48,4 1045·500 ã 1045·125Ö2/3p 104510·40π ñì3 1048·10 ñì 105·2 105·25 ñì2 105·Ö2(Ö3+1)/4 105051·1/3 105051·1 105070·1/8 105122950·3 105151516...·2 105195135·-Ö2/2 1052·9 1052·12 105218·3 êì/ñàғ. 1052562·n=10. 10526·5 êүí 105434·1/10 10570·ó=2õ-1,4 10575·0. 105912·54 1060·180π 106045·20/1+√3äì; 10√2/1+√3äì. 10658·(5;8)U (13;+∞) 107·-1/8 1071213107313·1/3 10731213..·1/3 10786733·≈2,3 êã. 108·96p ñì3 1080318·0,5 108080·-1 1083·119,2 10835·-3 10835·(1;2) 108560·9 ñàғ. 11·0 Öõ+1=1 11·Ö5 / 5 11·(1/2; 1) õ/1-õ>1 11·[0;1] |õ|+|õ-1|£1 11·[0;1] |õ|+|õ-1|=1 11·(-∞;0)U(2;+∞) 11·(-∞;-1)U(-1;∞) 11·(-∞;0] 11·(0;1) 11·à-â 11·â-à / àâ 11·ln(x+1)+1 11·òүá³ð³ æîқ. 11·-sin2α (cosα-1)(1+cosα) 11·cos2α 11·-sin2l 11·sin2õ ½ (1-cosx) (1+cosx)½ 11·cos2l 11·1/sinα |1 / tgα +sinα/1+cosα | 11·sina (1-cosa) (1+cosa)/sina 11·1/1-õ2 11·1/õ2-1 f(x)=lnÖ1-x/1+x 11·-2åõ / (åõ-1)2 11·p/4+pn<x<p/2+pn {sinx>-1tgx>1 11·-π/2+2πn,nÎZ,2πk 110·1 ó=1/õ, õ=1, õ=å, ó=0 110·(-¥;-1 )U[0;1) 110000...·4500 êì. 110122·3p/4 11013·19 11021231·60º. 110411·50 110512·6,3,3/2,... 111·0 111·25 1110·p/2+2pn, 1110·õ+2ó-1=0 1110·ó=-1/2∙õ+1/2 111015·2:3 1111·6 1111·4Öà / 1-à 1111·2sina 11111·òүá³ð³ æîқ. 1111106145·64 1111108·9/13 111111·-1 111111·arctgÖ2 1111111·ÄÂ1 11111115111..·300 111111456111·2,5. 111111506·10 111112311111·3Ö2 11111250·(4;3);(4;-3) 1111211·4 11112113151·Ö38 1111212313·5/ õ (õ+5) 11113·-Ö5; Ö5 11114511130· à2(4+Ö2) 111146601145·40Ö3 111160145· à2(4+Ö3) 111162121·√2äì. 11116212· √2 äì. 1112·0; 0; 0; 0; 0 1112·1. 1112·-π/4+πn, πn, nÎz 1112111411..·7/16 11121312·15 111225321249...·33,36 111230111230·4Ö30 111231·2 111241336..·2,32 1112421·1-õ/2õ-1 1113·1; 2; 1 111315·13 11132·1; 1; 1 11160121...·60º; 2,5ì. 111811514.. ·1/3 112·1·5/8. 112·1<õ<2 112·(-¥;1) 112·(-¥;-1)È(-1;1) È(1;¥) 112·(68°;68°;44°) 112·ón=2n-1 1120·1/2 1121·2,5;2 1121·300 112112·1/cos2α 1121121121·4,5 1121221·1-y 112123134..·9/10. 11214·2/3 112175158·1,5. 1122·2/3 1122·8 ì2 11220·(0; 1/2) 11221221·-3 112220131420·0,4. 11221314·0,001. 11222 ·tg2a. 1122213... ·0,4 112231·(-1; 2; 3) 11223478·3. 1123·4 112311·11 112311322·(-¥; -1/5) 11232143·120 112328·20Ö2 ñì 112330·20 11233723·q=5, b3=300; í/å q = -6, b3 = 432 11235075·Òðàïåöèÿ. 11237·680;370;750 11238·370;680;750 1124·8 1124125210·1. 1125·4õ-3ó+7=0 113·0 (êåñ³íä³ ұçûíä) 113·1 113· (0:1) 113·(0;3] 113·(-∞;3) 113·19 11311·(-¥;1)È(1;¥) 11311126·-3 1131231..·- 1/6 1131311·- 1 1132·Öm-Ön / m 113201515..·9/20 113235·0 113312·48 113323·2 113412·13 1138·36. 114115116..·2·1/2. 1143·(õ+4)2+(ó-3)2=25 114310125..·-0,7 1147·58. 11472·116 ñì 11502·-2,24. 11510·6 êì 11510505·1+Öx 115430·1010 íåìåñå 360 1154890·40 êì/ñàғ, 50 êì/ñàғ. 11602·15 ì2 1161412711·18/17. 116212·–13,5 116213·5×1/3 116515·297. 116712·28. 116837·d=3 117120·8000 òã. 117177·7 117234922147·4,5. 1173337·3/7 118124·27 12·0 (cosa=1) 12·2 æәíå 1/2 12·-3 tga=1 æәíå tga(a-b)=-2 12·(-2; 1) 12·[1;5) 12·1,5 12·4 |ó=1+cos∙π/2∙x| 12·√7 12·6Ö2 ñì 12·6 ñì. 12·24 ñì 12·48 ñì 12·òүá³ð æîқ 12·1/3; 1/4; 1/5; 1/6 12·(2,5; 0) 12·(5; +¥) 12·(-∞;-2]U(-1;+∞) 12·(-∞;+∞) 12·36(Ö2+1) p 12·36Ö3 cì2 12·288p ñì3 12·192√3 ñì3 12·sina 12·-300 | arcsin (-1/2)| 12·300 | arcsin 1/2 | 12·600 arccos(1/2) 12·120º arccos(-1/2) 12·Ö3-1/1+Ö3 12·4Ö3 12 ·2Ö3. 12·õ<-0,5õ>1,5 12·õ<1; õ>2 12·õ>2 12·x≠-1;x≠0 y=1+x / x2+x+X 12·x¹-2 12·õÎ(3; 7) 12·à=1/2 12·d1 +d2 12· -2Ö2-õ+Ñ 12·cosx 12·sin2α 12·sinx×½cosx½ 12·1/sin2x (f(x)=-1/2lnctgx) 12·sinα+cosα 12·1/2×tga 1-ctga×tga / tga+ctga 12·(-1)np/6+pn; nÎz ctgx+sinx/1+cosx=2 12·π/2+2πn; 6π+2π 12·-p/3+2pk£x£+π/3+2pn, nÎz y=√cosx-1/2 12·-p/4+pn; nÎz 12·-p/4+pn,p/2+2pn,2pn, 12·p/4+pn£x£arctg2+pn, (1£tgx£2p) 12·(p/6+2pk; 5p/6+2pk) sinx>1/2 12·(p/6+2pn; 5p/6+2pn)... 12· -p/6 arcsin(-1/2)
12·(2p/3+2pk; 4p/3+2pk), cos<-1/2 120· -1/2 120·òүá³ð³ æîқ Öõ+1+Öõ+2=0 120·80°; 100° 120·1000 120·a3 / 6 120·√2 / 48 · à3 120· x2Ö3/3 120·÷õ÷>1 120·x<0, x>2 120·±2p/3+2pn; nÎz 120·2pn, 120·p/2+2pn<x<3p/2+2pn 120·[p/2+2pn; 2p/3+2pn) È (4p/3+2pn....] 120·(-∞;-2)U(-1;0) 1200·(-1;-2) 12004·10p/3 12010·5 120110111511·38,8 %. 120123·20;40;60. 12014·7 12023222·3 12032·19 12040·10π/3 1204060·72 æәíå 48. 1204230·16 1205·æàóàáû æîқ 1205·62,5 æәíå 57,5. 1205012·48 êì/ñàғ, 36 êì/ñàғ. 120555·2 1206·1,28 1206·0,81 ì2. 1206660362· – 1,94. 120725·a1=1: d=4 12075·160 121·g(x)=2(x+1) 121·Öõ+1+ln|õ|+Ñ 121·(-¥;1) 121·(-¥;-1) U (-1;1) U (1; +¥) 121·(-∞;-1)U(0;+∞) 121·(-¥;-2)U[-1;+¥) 1210·8 ñì 1210·p/2(1+4ê), êÎZ 1210064·8Ö2 1210242046·n=10,q=2 12103·48 cì3 121030·60 ñì2. 12110·(-11; 12) 121111·√1+x 12116243·4 1212·0,25 1212·1 1212·1/sin2a 1212·2 / a2-b2 1212·2b/ 4à2-b2 1212·1/4 1212·1/5 1212·360 1212·49/24p 1212·tg2a 1212·(pn;±p/3+2pk)n, 1212·(-p/4+pn/2+pk; p/4+pn/2-pk)n, 1212·p/6+2pn£x<p/3+2pn {sin³1/2cos>1/2 1212·(-p/6+2pn; p/6+2pn)U (5p/6+2pn; 7p/6+2pn), nÎZ 1212·[p/3+2pn; 2p/3+2pn) È (4p/3+2pn.....] 1212·5p/6+2pn<x< 5p/3+2pn {sinx<1/2cosx<1/2 12120·0; -2 121205·p/6(6ê±1), êÎZ 12121·π/4 121210·1/11 12121110·0 121212·1 12121212·õ1/2 /ó1/2 121212205·(1/2; -1) 1212130·1300 121214·3/4 121219·3 êì/ñàғ. 12122·Ö15 cì. 121222·0 12123·-1/5 12123·(-4;3) 1212321·2 1212323·d= -0,2 121234·-1; 4. 1212381·(5;4) 1212381·(-¥;-2)U(2;4) 121253·9 121270·1100 1212772·128. 1213·1/7 1213·8 logx1/2= - 1/3 1213·65p 1213·(-3;¥) 1213121334·õ--1/4 121316·-1/9 12133224·-9,6 1214·24 ñì. 12141·2/3 121411·17 121418· 4 ì. 121430·84 ñì2 12143112·4/15 1215·2/5 1215·(10; -5) 12150·781/1250 1215105· - 3 12158·10 ñì 1216·10 1216·10cì. 121625·2880 ñì3 12179·0 1218·57 1218536·13×1/3. 122· 0 1-sin2a-cos2a 122· 3 ½ó-12½/ó>2 122·(-1; 0,5) 122·cos2a 122·(-¥; 1/2) 122·-2/õ3+2åõ -sinx 122·[p/6+pn; 5p/6+pn] 122·π/2 (4n+1), nÎZ; πê; 122·pn;p/2+2pn; nÎz 122·3 ñì 122·øåøó³ æîқ 1220·0 1220·0; -5/6 122015·60 êì. 122015·1440 ñì2 1221·-1/2 1221·(p/2+2pn; p/2+pk)n, 122101843·215 êã. 122105·4 122111·1/y2n+1 12212· cos2a 122122245·(-5;-5);(7;1) 12212352457·1 æәíå 4 122132·2 122141·7 1222·(m-n+1)(n-m+1) 1222·cos2a 1222·2cos2α. 1222· tg2a 1222·õ2+3(b-a)õ+2à2.... 12220·(5;5) 12220·p/2+pn, nÎZ;p/4+pk, 12221·(1;2] 12222·b-1/ ab 1222212·-1 122222·8,5 / ln2 12222318·-1<x<1 12225302122·9,25 12225303132·-26,875 1222632622·(2ab-c)(6ab-3ac+1) 122284·[-6;-4) È (2;4] 1223·(0;3), (4/3;1/3) 1223·õ<-3; -3<õ<1; õ>1 12230·p/4+pn, 12231432·-2 (AB×ÑD) 12231432·-14 (CB+DA)(BD–BC) 12231432·-10 (DA×CB) 1223421·õ>2,5 122343313·48 1224·AB=i+6j 1224·6 æәíå 54 1224124·x=4 1225·676p 1226022601·-1 12264·54 123·15 ñì 123·4×1/2 123·300; 600; 900 123·[-1;3] 123·(Ö2-Ö3) (Ö3+2) 123·(-3; -2/3] 123·Á³ð³íø³ æ/å үø³íø³. | ó=õ123 | 1230·6 äì 1230·450 1230·(0;0), (Ö2;Ö2) 1230·[1;2] U (3;+∞) 123083·-Ö3+3/20 123110101011·n+2p 12311212·0,99 1231123·2 ì2; 3 ì2. 12312·1×3/8 123123·2Ö3 123125·0,25. 12314·(-∞;-3)U(1/3;1) U(3;+∞) 12315·6 12315·8 12315·æàóàáû æîқ. 1231617136·16 1231617136612·16 1232·2 1232·0,5 1232·288 ñì3 1232·(p/6+2pn; p/3+2pn)È [2p/3+2pn; 5p/6+2pn) 1232·[-π/6+2πn; π/3+2πn)È (2π/3+2πn;7π/6+2πn] 12320·π/4+π/2 12321224·òүá³ð³ æîқ. 123214·25 12322·ctg2λ 123221·2cosa 12322313·3. 12323·3(5Ö2-6+3Ö6-4Ö3) 123231·(0;0;0) 12323125·3,6 1232323·2 12326·54 12329·(1;0) 1233· - 4 1234·2√x+2+4cos(3-x/4)+C 1234·D(ó)=(0;+¥) 2)õ=1; 3) [1; +¥) .... 1234012340101·0,01106. 12344·[-24;0] 12346·0,8 1235·162 1235·11 / (3-5õ)2 12350175207·5/6 123514334..·10/17 123869·2·2/3 12389·1 124·8p 124·4(1+õ-õ2)3(1-2õ) 124·[-p/4; p/4] 1240·1080 1240·-4≤õ≤1; x≥2 1241·øåøó³ æîқ 124120·3,1 1242·π/2+2πk, 1242242436·õ-2/õ+6 1242402·6 124242162·â-2à/4(â+2à) 1242424336·õ-2/õ+6 1243·3. 1243·-21;22 1243·(Ö2-4Ö3)(Ö3+Ö2) 1243005·ó=1-õ 124304513·[9;∞) 1243123·(3/4; 2) 1243220·[-3;-1] È[1;+ ¥) 124322102·6Ö2 12435·3 12436·-24 12440·500. 124420321·900 1245·300 124533444...·1. 124533444..·6/7 (–) 1249522·7/20 125·0,8 125·27 125·2; 7; 12; 17; 22 125·13π ñì 12500000012·3000 êì 12510·30 12510·65 ñì2 125113121415·1. 125122162641145·132. 1251242·(0; +∞) 125213·2 125224234·(-4;0,5) 1252251·1/625;5 125240·(-3; -Ö5)È(Ö5; 3) 12525701..·-2; -1. 1253·14 125315004053·-0,2. 125322·1/2 12552122504·1∙1/3 12582532·10. 126· 4 êүíäå 126·(-5; 0) 126·12Ö3; 18; 24 1260·12+6Ö3 12630·18 ñì2 126486·-728 1266·5 1270·3;4 127001050·1020° 1271013· (2,5;4) 1272456·(-1; -2) 1273·7<x<15 127312·9Ö3 12735·-0,5; 0; 0,5 12754251..·24 128·10 ñì. 128·(-¥; -3/2) 12822024..·4,5. 12824402·- 4; -2; 2; 4 12831318..·Ö2ab(a+b) (ab-1) 1285·60;15 12860·24Ö2 12909192179·1 12930·27 12945·3 ñì 13·øåø³ì³ æîқ 13·4; -2 |õ-1|=3 13·10 13·-3 13·9:1 13·(0;-5/3) 13·(-2;4) 13·4; -2 13·6Öà5 13·2√2/3 13·1/3 sin(arcsin1/3) 13·-4/9 (a=1/3 áîëñà) 13·3sin3xe1-cos3x 130·2 130·4π | y=√x,x=1,x=3,y=0 | 130·500, 500, 800 130·(-∞;-3)È(1;+∞) 1300·1 130010·0<õ≤300 130110130110· - Ö3 130214·11 ñì, 3 ñì 130323·5×5/12 13045·2Ö2/Ö6+Ö2; ... 1307523512·1 131·±π/3+2πm 131000·13/100 131027302425... ·8 1311·3 131110151015111·24 131123121169·À) 13113·b 13113413144·–3 1311350·ó=-7 13119·[3; +¥) 1312·202,8 ñì 1312·65π ñì2 1312·156 ñì2 1312·25π cì2 1312·(1; 10] 13121·ñ/à2-à+1 13121·(-1;1/2) 131220·162 131222·221 πñì2 131222222· x2+y2+z2+2x-6y-2z-10=0 131232·(0;1) È(1;2) È(2;3) 1312521230·-1/3; 1,5 13128·50 ñì2 1313·1200 131312·90.
131415·5/13 (үëêåí) 131415·3/5 (ê³ø³) 131415·12ñì; 11,2ñì; 168/13 ñì 131415·84 131415·28 ñì2 131415·84ñì2 13154121... ·5 131548·10 ñì. 13169·13. 13172177·1 131812·896p 132·-17 132·127 132·3,5 132·-1; -1×2/3 132·-6; 6 132·3, 5, 7, 9, 11 132·{1; 3} 132·(0; 9] 132·x=1±π/6+2πk,kÎ Z. 132·√a+3+2/a-1 132·±2p+6pn, nÎZ 132·1/cos2α 132·1 / sin2 α |1+ctg(p+a) tg (3p/2-a)| 132·1/3 tgx+Ñ 1320·(0; 0) (Ö2; Ö2) 1320·ÀD қàáûðғàñûíûң ұçûíäûғû 12 ñì 1321·(3/2;2) 1321·(-1;2] 1321·õ2-2õ-3=0 13212·11 132135132·x>3 13221·(-1;0)È(2;3) 1322113..·(-∞;-1]È[0;0,8] 13222223·[4; 4,5) 1322412..·2. 1323·2∙1/27 1323·12 13239·(1;2) 13240274830·99 áåò 1324231·(-3;1/3)U(3/2;+∞) 1324514·13 132462439·(1;3) 13252·144p 13253331·{2;-9} 132568·[12;+∞) 132613127·x<-2 132631321..·16. 1327·203 1327·121 (áåñ ìүøåëåð) 1327·S5 =121 1327501·-40 1329575·(1/2; 3) 133·3,5; 0,5 133·a2+6a+10 133·p/6+pn£x<p/2+pn,nÎ 133·p/16+pn/2£x£
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