)
)
123636252●√6
1236●4(√6√3)
)
Cm ( )
12371●57
Ordm;.
12375026425152508001601207●1/3
)
123869●2 2/3
12389●1
124●4(1+x-x²)³(1-2x) {=(1+²)4
124●[π/4;π/4] |tg≥1 x*(π/4;π/4]|
124●8π
124●(1;4) |=(1)²4|
124●1/4 tg4x+C |f(x)=1+tg²4x|
124●cos4α
124●(4;∞) | f(x)=√x+1+2/√x4 |
Ordm; ( )
1240●4≤x≤1; x≥2 |(1)(2)(+4)≥0|
1240●1080
1240●88
1240●45x51; x≥2
12400●=48
1240288●20%
12411●26
12411536934●84/; 112/
124120●3,1
64 ( )
K,
1242●π/2+2πR; R*Z
1242●y=-2x+3
A
1242242436●2/+6
12423●11. |1/2=4+2/3|
1242402●6
124242162●2/4(+2)
1242424336●-2/+6
1243●(√24√3)(√3+√2) |1/√2+4√3|
1243●21;22
1243●3
1243005●y=1-x
1243005● = + 1.
124304513●[9;∞)
124305●=1
1243123●(3/4; 2)
1243135●b3=3 (b5)
1243220●[3;1] U[1;+∞)
124322102●6√2
12434●q=3
12435●3. |logx 1/243=5.|
12436●24
12440●500
124420321●90
12443●3
12443●9 ( 12;4; 4/3)
1245●150 ( 4)
1245●30
124533444114181123718●1.
1245334441141811237185●6/7
124533444.. ●6/7
1245334441141811237185●6/7
1248●=400
1248●12 ( 12/48)
12488●384
1249●a=2/3. |a ∫ a 12x/3 dx=4/9.|
1249522●7/20
)
( )
125●0,8
125●30 ² ( )
Cm
125●2; 7; 12; 17; 22
125●27
5 )
Ordm;
Km
12500760●510
12502106929837500300●500
12510●30
)
12510●65 ² ( )
125113121415●1
125122162641145●132.
1251222●1/2
125123124●(1/2)12
1251242●(0; +∞)
125125●√n³/125
|
|
|
125142●8
)
)
125
125175825●94,96
1252●6
1252●6 |(;), {√√=1/2√, +=5, +2|
125213●2
125224234●(4; 0,5)
1252251●1/625; 5
125232532●3/2
125240●(3;√5)U(√5; 3)
1252451852925223●0,3
125257010840●2; -1
1252570840●2;-1
1253●14
( )
125315004053●0,2.
125322●1/2.
12535114●4,2
12537●3
1254●3 ( )
1254●3 ( )
12544●8 |12 ∫ 5 4/√x+4 dx|
1255●2. |1/2√5+√5|
1255125125●3
12552122504●11/3
1255254●164
125531255312553●1/30
1256●176 ( 1256)
)
125654050●1
1257●2√5+√7/13. |1/2√5√7|
1257●2x61/7 sin 7x+C |f(x)=12x5cos 7x|
12575●60
12582532●10.
125844●16 |12 ∫ 5 8√x+4/x+4|
12586●56
12588208●82.
12593264502●34
126●a=6
( )
126●(5; 0)
126●12√3; 18; 24
126●(0;3) |logx+log(x+1)<log(2x+6)|
1260●12+6√3
.
126015●60 / ( )
12601802●1080√3³
126030●10,8
12611311●3.
12624●24/5
12630●18cm²
12630125●9
126486●728
1266●5
127●3,4
Ordm;
1270●3; 4
127001050●1020.
127001050●780 (cosx=1/2 700<x<1050)
12710●4
1271013●(2,5;4)
127121●3
1272456●(1;2)
1273●7<x<15.
127312●9√3
1273253254●5.
12731213●24;93
12733231●24;93
1273337●3/7.
12735●0,5; 0; 0,5
12750●(3;7]
Ordm;
1275315835●10,4
12754251811220420●24
.
12772●128
128●(-∞;-3/2]
128●10 . ( 3 ∆)
128●(0;3) |1<2x<8|
12813●3,2; 9,6.
)
1282●8 lgx+lg 1/x²=lg82lgx
128210●(0,5; 1,5)
12822024..●4,5.
12824402●4;2; 2; 4
12824402●(4;2)(2;4)
12824402●{4;2;2;4}
1282510●23
12826●46 ( )
128313183●√2ab(a+b)(ab-1)
Ctg8x
1285●60;15
12851255●1/2
12860●24√2
12881366842931511291●1.
128889●0
129●27
12900●108
12909192179●1
12921537●72.
|
|
|
12930●27
,
13●(∞;+∞) {y=(1/3)x
13●1
13●1/3 sin(arcsin 1/3)
13●(100; 10) | {lg xlg y=1 lg x+lg y=3 |
13●(∞;2)(4;+∞)
13●(∞;5] |√x1=3x|
13●1/2x²+x²/2+c
13●4/9 |sinαcosα, sinα+cosα=1/3|
13●{4;2} |x1|=3
13●3x²(ex³+1)
13●π/6+πn,n*Z |tgx=1/√3|
128210●(0,5;1,5) |128/2+1>0|
13●²2=0 ( )
13●(0;5/3)
13●(2;4)
13●1/3 |sin(arcsin1/3)|
13●10 | √x1=3 |
13●2√2/3 | sin(arccos 1/3)|
13●3
Sin3xe1-cos3x
13●4/9 |(a=1/3 )|
13●4/9 |sinα cosα, sinα+cosα=1/3|
13●4; -2 {|-1|=3
5
13●9:1
)
13● |1x≥3x|
13●18,3 5,3 ( 13)
13●x>3 |1/√x3|
130●1 |y=√x y=1/3x√x X0|
Ordm; ( )
130●(∞;3)U(1;+∞)
130●x>1 (log 1/3x<0)
130●2 |x+√x13=0|
130●4π {|y=√x,x=1,x=3,y=0|
)
130●50º; 50º; 80º ( ∆ )
130●65º,115º,65º,115º ( )
130●1/2 |y=√x, y=1/3x √x, x0|
X
1300●1
130010●0<≤300
130110130110●√3
3
1302●2√2/3
13020●56%
3
13023100●2
)
130301303●100
130323●5 5/12
13045●2√2/√6+√2;...
1307523512●1.
M
131●16
131●3/3x+1 |f(x)=1n(3x+1)|
131●x=1
131●sin1/x³1 |f(x)=sinx, g(x)=1/x³1|
1310●[1;1] {(-1)³(+1)≤0
)
131000●(0; 9)
131000●13/100
13102●12 |=1310+²|
13109●1/81 (4 2 )
131102341684●3/4
131027302425264193●8.
1310942●1/81
1311●3 |+3/√31=√1|
1311●1/2 |x/ay/b=1 x/b+y/a=3 (1;1) |
131102341684●3/4
1311023416840000112●3/4
131110151015111●24
)
B
13113413144●3
1311350●=7
13119●[3; +∞)
1312●(1; 10]
1312●156 ²
1312●25 π c² ( )
( )
( )
1312●65 π ²
1312●9/24; 10/24; 11/24
13121●(1;1/2)
13121●/²+1 |(a+1)(a+c)/a³+1a/a²a+1|
131220●162
131222●221π ²
131222222●x²+y²+z²+2x6y2z10=0
131223121169●(1;2)
131224●(0;3)
U(1;2)U(2;3)
13125●750
1312500●150
1312521230●1/3; 1,5
131258●26
13128●50 ²
)
1313●x²2x2=0 |1√3 1+√3|
1313100●b<a<c
131312●90.
131320●8
13133●3
13133●4/3 (tgx+1/√3)(1/√3+tgy),x+y=π/3
13133325●2;9
131341327●6
131353●(3/5; ¾]
1314●(4/3;∞) |=log 1/3(3x+4)|
)
131415●12; 11,2; 168/13
|
|
|
131415●42cm²
131415●16 π³ ( ∆)
131415●28 ² ( ∆)
131415●3/5 ()
Y)
131415●84cm² ( ∆)
131415●4 ( ∆ )
13141511223341112●m10
13141514●6√5 ( )
131415253●14c ( )
1314154622●924³
1314155●3
13141584●672²
131420●(∞;2)U{1}U[1;∞)
1315●10
131514●168² ( )
131520●(2;1]U[1;∞)
13154121162●5
.
1316●(64;16)
13169●13
1317617●7/17 (13/176/17)
13172177●1.
1318●270
Cm
131812●896π
1318518●8/18
131922●24;
132●[9;+∞) |log 1/3x≤2|
132●x=1π/6+2πk,k*Z {cos(x1)=√3/2.
132●127
132●2 ( )
132●35
132●3,5
)
132●(0; 9]
132●{1; 3} |x1|+|x3|=2
132●[1; 3] {|1|+|3|=2
132●2π+6πn, n*Z
132●1/sin2 {|1+ctg(π+a) tg(3π/2-a)|
132●1/3 tgx+
132●1/cos²α |1+tg(π+α) ctg(3π/2α)|
132●1;1 2/3
132●1; 1 2/3 (=(1/3)sinx2)
132●17
132●3;1;1;3;5 |1=3; d=2|
132●3, 5, 7, 9, 11
132●3,5
132●6; 6
132●√a+3+2/a1 |1/√a+32|
132●x=1π/6+2πk,k*Z |cos(x1)=√3/2|
132●1/3tgx+C {f(x)=1/3cos²x
1320●(0; 0) (√2; √2)
D k 12
1320●(π/6+πn;5π/6+πn),n*Z |13sin²x<0|
1321●x²-2x-3=0
1321●x²+3x+3=0. |x1=3, x2=1|
1321●(1;2] |1=3√21|
1321●(3/2;2)
1321●²23=0
1321●3√4+3√2+1 | 1/³√21 |
1)
)
)
1321311339●3
132135132●x>3
13216●11 |1/3+2=1/6|
132168●12 (a1=3 d=2, 168)
1322●32√2 |1/3+2√2|
U(2;3)
13221322●6
1322113532●(∞;1]U[0;0,8]
| (x1)²(2x²+1)≤(x1)³(5x3x²) |
1322113532●(∞;1]U[4/5;1]
13222●√3
13222223●[4; 4,5)
U(4; 4,5)
X2(xm-1)2
13223●1/27³6+1/3²6+6+6
132230●[1;+∞)
3
132234●1/2
1322412..●2.
13227512●34,24
1323●12 (b1=3,q=2, b3?)
)
1323●2 1/27 |1/³√x2=3|
1323●(1;2) |(1/3)√+2<3x|
X
13239●(1;2)
1324●16
1324●5
1324041549●2,45
13241324●4. |1/3√241/3√2+4|
8.
1324231●(3;1/3)U(3/2;∞)
13244●9 1/3
1324514●13
132462439●(1;3)
1325●2+3+11=0
132504●D(3; 12)
13251125●24/25 (13/25+11/25)
13252●144π
132520●(3;23)
13253331●2;9
1325618●x≥32
|
|
|
132568●[12;∞)
132578●M(2; 5; 3)
132613127●x<2
13263132136●16.
132631321360505250002●16.
12 (, )
12
1327●121 (1 5 )
1327●203
1327●105 (1 7 )
1327●S5 =121
13270●4,33
1327138●4
13275●x>1,1
1327501●40
1327512●34,24
1329●(∞;4) (1/3) +2>9
13293●n=5; b5=48
1329575●(1/2; 3)
133●3,5; 0,5 |1|+|3|=3
133●a²+6a+10
133●π/16+πn/2≤x≤3π/16+πn/2,n*Z |y=1√3tgx√3|
133●π/6+πn≤x<π/2+πn,n*Z (y=1√3tgx√3)
1331●(2;2)
1330●)3 2√3
1330●π/3+2πn/3,n*Z
13302●2√2 13;0
13302●2√2/3; 0 |f(x)=cosx1/3cos3x [0; π/2]|
13302● f(x)=2√2/3; f(x)=0
F(x)=cosx1/3 cos3x [0;π/2]
133034●0; 1 1/3
13312●Net (1>33/12)
133122●cos x/3 +sin x/2+C |f(x)1/3sin x/3+1/2cos x/2|
133122●133:a²+6a |410cos x/3+sin x/2+c|
1331524● (∞;1]U[4;+∞); [1;4]
13316●1/3+1
)
1332●37
)
1332393101●0,5
133240●(1;2)U(2;3) {(x+1)³(3x)(x-2)4>0
133241●2<m<2
)
1332526●5
13328112122●6
13329●10
1333222222●2(x+y)(x²+xy+y²)
133325●5 |[1;3], f(x)=x³+3x²+5|
)
1334●(4/3; ∞)
1334●1/4 |(1/3)log34|
133411●(7;+∞)
133411●x<7
13343132●3
13343132●33, 25
133468122612●1
13352●(1;√3)U(9;∞)
13352263214●41/6
1336●156
13362●156²
13365●2
1337●(2;1),(1;2).
133785123●1/6
1339●(∞;5] (1/3)3≤9
1339●4/3
134●143
134●15√3/4
134●Net (1<3/4)
1340●[3;7)
1340250812●1,1
134111115●10 5/7 14 2/7
134111175156●0,25.
134122313423120●0; 1,5
134122313423120●1=0; 2=-1,5
134181●20
1342●3e 1/3x+4 +2cosx+C
13421●(∞;4]
134231●(1,5; 6)
1342789463796●6
134310123112●6
S )
1345● 
1345●(1/3;4/5] |1/3<x<4/5|
1345120●(1;0) {√+1(3)45/(1)2<0
.
1348121●11
135●1
135●6 |√√=1, +3√=5, √|
135●8 ( 135º)
135●60π ²
)
)
,90 ()
135●27 ( ∆ )
1350●12; 15/
135027●(12, 15)
1350273●15/; 12 /.
1350233320●[3; 5]
1350323320●[3; 5]
1351●1 {a1=3 a5=1
( )
135115●4
135115531●{2}
1351221230●1/3;1.5
13513●2/5 |b1=3/5, a q=1/3|
13513●9/10 (b1=3/5, a q=1/3)
1351652●9.
Cm
, 90
,90()
1352●8
135210225●√2/4
135210240300●3/4√6.
135233320●[3; 5]
135240210330●3/4√6.
13522●(-2; 2,5)
1352250●19
13523231●14/15
135240210330●3/4√6
1353●³√25+³√10+³√4/3
135317●1/2
13532●³√25+³√10+³√4/3.
13533●³√25+³√15+³√9/2
1353250●1
)
13538●6
)
135381●3
1356●276π ³
135715●4; √6; -2; -6
135719●5y+13x30=0. ( BM)
135719●y=2+5 ( )
|
|
|
13581●3
136●1,5
136●16
.
1360●(5;1);(5;1) |+/++/+=13/6 =0|
1360004112●12
13600251240240●70
136014601560●1
13608060880●8
13621202●320 ³ ( )
13624 ●8(1/3x6)²³
13626●Da (13/6>2/6)
1363393●1/2
136383●x<2
1365●(5;1)(5;1)
1365●(3; 2); (2; 3)
1372●3; 3/7; 3/49
1372●(2;7). |log 1/3(7x)>2|
1365●(3;2),(2;3)
1367●1/3ln|x|-7x6/7+C
1367●1/3ln lxl-7% +C
137●126
M
)
137115113●1 2/7
13712●2; 1; 4;5. (bn+1=3bn+7, b1=2)
1371281337●2,25
13713●[2;3] |1=3√713|
137137●3
1372●(2;7) |log 1/3 (7x)>2|
1372●3; 3/7; 3/49...
1372150●(∞;13)U(15; +∞)
1375100●b<a<c
13752411...●2,7
137524117754561131438856●2,7
138●(0;8)
1384●20
.
Tg
1386450026571427109●38.
1387●1/3 ln |x|+7x7√x+C
139●2 |log 1/3 9.|
13915181391526118261●13200.
13922●24
139276561●9841
1395●1 |tg 1395º|
1398113●3
)
14●28. ( )
14●5; 5; 6. ( ∆)
14●213
14●1 2/3 |y=√x, y=1, x=4.|
14●1*213
14●28/3
14●63
14●x²/2-1/4sin4x+C
14● 1/2√ (√-4)2
14●12/3
14●1 (2/3){=√,=1,=4
14●2/3
14●3≤ x ≤5
14●[3; 5] |1+4sinα|
14●4 |√y/x+√x/y, x/y+y/x=14|
Sin4x
14●63 (1 10 )
14●n=3n2
14●=5-3
14●2/2-1/4sin4x+C
14●²+²421=0 ²+²+10+14+49=0
| (1;4)?|
14●(48, 40)
