LR_OKT

Варіант

Вигляд інтегралів

№

,

а

,

б

1

√

+5

(2

+0,5)

2

,

+

+0,5

,

2+cos(

+1)

,

0,5

+2

,

(2

+0,5)

3

,

,

2

+1+0,8

,

,

2+cos(

+1)

0,8

+1

( +1,5)

4

,

1,5

+2

,

0,8+cos(2

+0,5)

,

√2

+1,6

,

(0,5

+0,4)

5

,

2

0,5

+3

,

1,2+cos(

+0,4)

1,5

+0,6

,

(0,6

+0,4)

6

,

6+

0,8

+2

,

1,6+sin (

+0,7)

,

√

+0,6

,

(

+0,6)

7

,

0,8

+1,3

,

0,7+sin(0,8 +1)

,

√

0,4

+1,7

,

(0,3

+1,2)

8

,

0,5+

+1,3

,

1,3+cos (0,5 +1)

,

0,3

+2,3

,

(

+0,6)

9

,

1,8+ √2

+16

,

1,2+sin(0,7

+0,2)

,

0,8

+1,7

,

(1,5

+0,3)

10

,

21+

0,7

+1

,

2,3+cos(0,4

+1)

,

0,4

+1,5

,

(

+0,8)

11

,

2,5+ √

2

+0,8

,

1,5+sin(0,6

+0,5)

,

√

1,2

+0,7

,

(0,7

+0,4)

12

,

,

1,4

+

1,3

+0,5

,

,

2,2+cos(0,3

+0,7)

1,1

+0,9

(0,8

+1)

13

,

1,4

+

0,8

+1,4

,

1,4+sin(0,3

+0,5)

,

0,6

+1,5

(0,8

+0,3)

14

,

+ √

+3

,

0,7+cos(1,2

+0,3)

,

√2

+1

,

(0,3

+0,5)

15

,

12+√

0,3 +1

,

1,8+sin(

+0,8)

,

√2

+1,7

,

(0,6

+0,3)

16

,

1,1+

1,2

+0,6

,

2,4+cos( +0,5)

,

0,7

+2,3

,

cos(0,4

+0,6)

,

2

+ √

0,8

+1,4

,

0,8+

(

+0,5)

17

,

√

0,4

+3

,

(0,2

+0,7)

18

,

0,7

+

2

+0,5

,

1,4+cos(0,5

+0,2)

,

1,7

+0,5

cos(0,3

+0,8)

19

,

1,4

+ √

1,2

+1,3

,

0,9+2

(0,4 +0,3)

,

1,5

+0,7

,

cos(

+0,2)

20

,

1,5+ √

0,8

+1

,

1,3+

(2

+0,4)

+1

,

√2

(0,8

+0,3)

21

,

12

+

+1,8

,

1,2+cos(

+0,4)

1,3

+0,8

,

(0,6

+0,5)

22

,

1,7+

2

+0,5

,

1,5+cos(

+0,4)

√

+0,5

,

cos(

+1)

23

,

2

+

+2,5

,

1,3+

(2

+0,5)

,

√2

+1

,

(

+0,6)

24

,

0,8+

0,5

+2

,

1,5+cos(0,8

+1,2)

,

1,5

+2

cos(

+0,5)

25

,

+ √

0,8

+1

,

0,8+

( +1,4)

0,8

+2

(

+0,7)

26

1,6

+

1,5

+0,6

,

1,4+cos(0,6

+0,4)

0,5

+3

,

cos(

+0,4)

27

,

2

+

2

+1,6

,

1,2+

(0,5

+0,4)

,

√

+0,5

,

(0,8

+1)

28

,

1,4+

+0,6

,

0,7+cos(

+0,6)

,

√

+1,3

,

cos(0,5

+1)

29

,

1,5

+

0,4

+1,7

,

1,3+

(0,3

+1,2)

,

√2

+1,6

,

cos(0,4

+0,6)

30

,

1,8+

0,3

+2,3

,

0,8+

(

+0,5)

0,7

+1

,

(0,2

+0,7)

2,1

+√

0,6

+1,7

31

,

,

1,4+cos(0,5

+0,2)

0,4

+2

,

cos(0,4

+0,6)

32

,

3

+

+1,6

,

0,8+

(

+0,5)

,

√

1,3+1

,

cos(

+0,4)

,

1,4+

+1,6

,

1,2+

(2

+0,3)

Вар

Система лінійних рівнянь

Вар

Система лінійних рівнянь

.

.

1

4.4X1-2.5X2+19.2X3-10.8X4=4.3

12

35.1X1

+1.7X2

+37.5X3 -2.8X4=7.5

5.5X1

-9.3X2 -14.2X3 +13.2X4=6.8

45.2X1

+21.1X2 -1.1X3 -1.2X4=11.1

7.1X1

-11.5X2 +5.3X3 -6.7X4=-1.8

-21.1X1 +31.7X2 +1.2X3 -1.5X4=2.1

14.2X1 +23.4X2 -8.8X3 +5.3X4=7.2

31.7X1

+18.1X2 -31.7X3 +2.2X4=0.5

2

5.7X1

-7.8X2 -5.6X3 -8.3X4=2.7

13

7.5X1

+1.8X2 -2.1X3

-7.7X4=1.1

6.6X1

+13.1X2 -6.3X3 +4.3X4=-5.5

-10X1 +1.3X2 -20X3 -1.4X4=1.5

14.7X1 -2.8X2 +5.6X3 -12.1X4=8.6

2.8X1

-1.7X2 +3.9X3

+4.8X4=1.2

8.5X1

+12.7X2 -23.7X3 +5.7X4=14.7

10X1 +31.4X2 -2.1X3 -10X4=-1.1

3

15.7X1 +6.6X2 -5.7X3 +11.5X4=-2.4

14

7.3X1

-8.1X2 +12.7X3

-6.7X4=8.8

8.8X1

-6.7X2 +5.5X3 -4.5X4=5.6

11.5X1

+6.2X2

-8.3X3

+9.2X4=21.5

6.3X1

-5.7X2 -23.4X3 +6.6X4=7.7

8.2X1

+4X2 +4.3X3 -2.5X4=6.2

14.3X1 +8.7X2 -15.7X3 -5.8X4=23.4

2.4X1

+11.5X2

-3.3X3

+14.2X4=-6.2

4

14.4X1 +5.3X2 +14.3X3 -12.7X4=-

15

6.4X1

+7.2X2 -8.3X3

42X4=2.23

14.4

5.8X1

-8.3X2 +14.4X3

-6.2X4=17.1

23.4X1 -14.2X2 -5.4X3 +2.1X4=6.6

8.6X1

+7.7X2 -18.3X3

+8.8X4=-5.4

6.3X1

-13.2X2 -6.5X3 +14.3X4=9.4

13.2X1

-5.2X2 -6.5X3 +12.2X4=6.5

5.6X1

+8.8X2 -6.7X3 -23.8X4=7.3

5

1.7X1

-1.8X2 +1.9X3 -57.4X4=10

16

7.3X1

+12.4X2

-3.8X3

-14.3X4=5.8

1.1X1

-4.3X2 +1.5X3 -1.7X4=19

10.7X1

-7.7X2 +12.5X3 +6.6X4=-6.6

1.2X1

+1.4X2 +1.6X3 +1.8X4=20

15.6X1

+6.6X2

+14.4X3 -8.7X4=12.4

7.1X1

-1.3X2 -4.1X3 +5.2X4=10

7.5X1

+12.2X2

-8.3X3

+3.7X4=-9.2

6

8.2X1

-3.2X2 +14.2X3 +14.8X4=-8.4

17

8.1X1

+1.2X2 -9.1X3

+1.7X4=6.8

5.6X1

-12X2 +15X3 -6.4X4=4.5

1.1X1

-1.7X2 +7.2X3

-3.4X4=12.4

5.7X1

+3.6X2 -12.4X3 -2.3X4=3.3

1.7X1

-1.8X2 +10X3 +2.3X4=8.7

6.8X1

+13.2X2 -6.3X3 -8.7X4=14.3

1.3X1

+1.7X2 -9.9X3

+3.5X4=-1.8

7

3.8X1

+14.2X2 +6.3X3 -15.5X4=2.8

18

1.7X1

+9.9X2 -20X3 -1.7X4=1.1

8.3X1

-6.6X2 +5.8X3 +12.2X4=-4.7

20X1 +0.5X2 -30.1X3 -1.1X4=2.2

6.4X1

-8.5X2 -4.3X3 +8.8X4=7.7

10X1 -20X2 +30.2X3

+0.5X4=10

17.1X1 -8.3X2 +14.4X3 -7.2X4=13.5

3.3X1

-0.7X2 +3.3X3

+20X4=2.1

8

4.3X1

-12.1X2 +23.2X3 -14.1X4=15.5

19

1.1X1

+11.3X2

-1.7X3

+1.8X4=10

2.4X1

-4.4X2 +3.5X3 +5.5X4=2.5

1.3X1

-11.7X2 +1.8X3

+1.4X4=1.3

5.4X1

+8.3X2 -7.4X3 -12.7X4=8.6

1.1X1

-10.50X2 -1.7X3 -1.5X4=1.1

6.3X1

-7.6X2 +1.34X3 +3.7X4=12.1

1.5X1

-0.5X2 +1.8X3

-1.1X4=10

9

1.7X1

+10X2 -1.3X3 +2.1X4=3.1

20

35.8X1

+2.1X2

-34.5X3 -11.8X4=0.5

3.1X1

+1.7X2 -2.1X3 +5.4X4=2.1

27.1X1

-7.5X2 +11.7X3

3.3X1

-7.7X2 +4.4X3 -5.1X4=1.9

+23.5X4=12.8

10X1 -20.1X2 +20.4X3 +1.7X4=1.8

11.7X1

+1.8X2

-6.5X3

+7.1X4=1.7

6.3X1

+10X2 +7.1X3 +3.4X4=2.8

10

6.1X1

+6.2X2 -6.3X3 +6.4X4=6.5

21

1.1X1

+11.2X2

+11.1X3 -13.1X4=1.3

1.1X1

-1.5X2 -2.2X3 -3.8X4=4.2

-3.3X1 +1.1X2 +30.1X3 -20.1X4=1.1

5.1X1

-5.0X2 -4.9X3 -4.8X4=4.7

7.5X1

+1.3X2 +1.1X3 +10X4=20

1.8X1

-1.9X2 +2X3 -2.1X4=2.2

1.7X1

+7.5X2 -1.8X3

+2.1X4=1.1

11

2.2X1

-3.1X2 +4.2X3 -5.1X4=6.01

22

30.1X1

-1.4X2 +10X3 -1.5X4=10

1.3X1

+2.2X2 -1.4X3 +1.5X4=10

-17.5X1 +11.1X2 +1.3X3 -7.5X4=1.3

6.2X1

-7.4X2 +8.5X3 -9.6X4=1.1

1.7X1

-21.1X2 +7.1X3

-17.1X4=10

1.2X1

+1.3X2 +1.4X3 +4.5X4=1.6

2.1X1

+2.1X2 +3.5X3 +3.3X4=1.7

23

4.8X1

+12.5X2 -6.3X3

-9.7X4=3.5

29

1.3X1

-1.7X2 +3.3X3 +1.7X4=1.1

22X1 -31.7X2 +12.4X3 -8.7X4=4.6

10X1 +5.5X2 -1.3X3 +3.4X4=1.3

15X1 +21.1X2 -4.5X3 +14.4X4=15

2.2X1

+1.8X2 -2.2X3 -1.1X4=10

8.6X1

-14.4X2 +6.2X3

+2.8X4=1.2

1.1X1

-1.2X2 +2.1X3 +2.2X4=1.8

24

14.2X1 +3.2X2 -4.2X3

30

1.2X1

+1.8X2 -2.2X3 -4.1X4=1.3

+8.5X4=13.2

10X1 -5.1X2 +1.2X3 +5.5X4=1.2

6.3X1

-4.3X2 +12.7X3

-5.8X4=-4.4

2.2X1

-30.1X2 +3.1X3 +5.8X4=10

8.4X1

-22.3X2 -5.2X3 +4.7X4=6.4

10X1 +2.4X2 -30.5X3 -2.2X4=3.41

2.7X1

+13.7X2 +6.4X3 -

12.7X4=8.5

25

13.2X1 -8.3X2 -4.4X3 +6.2X4=6.8

31

0.68X1

+0.05X2 -0.11X3 +0.08X4=2.15

8.3X1

+4.2X2 -5.6X3 +7.7X4=12.4

0.21X1

+0.13X2 +0.27X3 -0.8X4=0.44

5.8X1

-3.7X2 +12.4X3

+6.2X4=8.7

0.11X1

-0.84X2 +0.28X3 +0.06X4=0.83

3.5X1

+6.6X2 +13.8X3 -9.3X4=-

-0.08X1 +0.15X2-0.5 X3 -0.12X4=1.16

10.8

26

3.3X1

-2.2X2 -10X3 +1.7X4=1.1

32

1.42X1

+2.3X2 -0.88X3 +0.53X4=0.72

1.8X1

+21.1X2 +1.3X3 -2.2X4=2.2

0.71X1

-1.15X2 +0.53X3 -0.67X4=-0.18

-10X1 +1.1X2 +20X3 -4.5X4=10

0.55X1

-0.93X2 -1.42X3 +1.32X4=0.68

70X1 -1.7X2 -1.1X3 +3.3X4=2.1

0.44X1

-0.25X2 +1.92X3 -1.08X4=0.43

27

1.7X1

-1.3X2 -1.1X3 -1.2X4=2.2

33

1.27X1

-0.13X2 +1.86X3 -0.12X4=2.2

10X1 -10X2 -1.3X3 +1.3X4=1.1

0.46X1

+1.33X2 -1.4X3 +1.4X4=17.1

3.5X1

+3.3X2 +1.2X3 +1.3X4=1.2

0.36X1

-0.93X2 +0.28X3 +1.4X4=-5.4

1.3X1

+1.1X2 -1.3X3 -1.1X4=10

13.4X1

-2.14X2 +22.1X3 -2.2X4=6.5

Варіант

Диференціальне рівняння

Початкова

Інтервал

умова

1

´ =

+

√5

(1,8 ) =2,6

[1,8;2,8]

2

´ =

+

3

( 1,6) = 4,6

[1,6;2,6]

3

´ =

+

√10

(0,6 ) = 0,8

[0,6;1,6]

4

´ =

+

√7

(0,5 ) = 0,6

[0,5;1,5]

5

´ = 1+0,4∙

∙sin( ) − 1,5

(0 ) = 0

[0;1]

6

´ = 0,3

+

cos(

)

(0 ) = 0

[0;1]

+2

7

´ = 0,133∙ [

+sin(2 )] +0,872

(0,2 ) = 0,25

[0,2;1,2]

8

´ =

+

(0 ) = 0,5

[0;1]

9

´ = 2

+

(0 ) = 0,3

[0;1]

10

´ =

+2

(0 ) = 0,1

[0;1]

11

´ =

+

(0 ) = 0,7

[0;1]

12

´ = 0,3+

(0 ) = 0,4

[0;1]

13

´ =

+0,2∙

∙

(0 ) = 0,6

[0;1]

14

´ = 3

+0,1∙

∙

(0 ) = 0,2

[0;1]

15

´ = 1+ (1 −

) ∙sin( ) − (2+

)∙

(0 ) = 0

[0;1]

16

´ = 1+2,2∙sin(

) +1,5∙

(0 ) = 0

[0;1]

17

´ =

cos(

)

− 0,3

(0 ) = 0

[0;1]

+2

0,1

(0 ) = 0

18

´ = 1 − sin(1,75+ ) +

+2

[0;1]

19

´ =

cos(

)

+0,3

(0 ) = 0

[0;1]

+2

1,25

20

´ = cos(

−

) +

(0 ) = 0

[0;1]

+1,5

21

´ = 1 − (

− 1)∙sin( ) +2( +

)

(0 ) = 0

[0;1]

22

´ = cos(1,5+ ) − 2,25(

+ )

(0 ) = 0

[0;1]

23

´ = 0,6∙sin(

) − 1,25

+1

(0 ) = 0

[0;1]

24

´ = (0,8 −

)∙sin(

) +0,3

(0 ) = 0

[0;1]

25

´ = 0,3

+0,1

(0 ) = 0,3

[0;1]

26

cos( )

(0 ) = 0

[0;1]

´ =

+1,75

− 0,5

27

´ =

+

cos(

)

(0,7) = 2,1

[0,7;1,7]

0,3

28

´ = sin

0,7

+

(1,2 ) = 1,4

[1,2;2,2]

29

´ = 0,188∙ [

+sin(1,5

)] +0,885

( 0,2) = 2,5

[0,2;1,2]

30

´ = 0,317∙ [

+cos(1,4

)] +1,344

(0,2 ) = 2,5

[0,2;1,2]

31

´ = 1+0,4∙

∙sin(

) − 1,5

(0 ) = 0

[0;1]

32

´ = 1 −

0,1

sin(2

+ )

( 0) =0

[0;1]

+2

33

´ =

+

(0 ) = 1

[0;1]

Варіант

Рівнянняf(x)=0

Варіант

Рівнянняf(x)=0

1

2

+5 − 3 = 0

18

( − 1) +3 − 2 = 0

2

5

+3 = 0

19

2

− 3 − 2 = 0

3

− 2 − 3 = 0

20

3

+2 − 3 = 0

4

( − 1) +2

= 0

21

3

+2+ = 0

5

3 +2 − 2 = 0

22

− 2 +1 = 0

6

3

+2 − 5 = 0

23

( − 1) +2 = 0

7

3

− 4 − = 0

24

3

− 2 +5 = 0

8

( ) −

1

= 0

25

2

( ) − +3 = 0

3

9

2

= 5 +2

26

( ) +2 − 1 = 0

10

2

( ) −

1

= 0

27

2

− 2 − 3 = 0

2

11

5

− 6 − 3 = 0

28

( − 1) +2 − 3 = 0

12

2

( ) − +3 = 0

29

3

− 2 − 5 = 0

13

2

( ) − 3 +2 = 0

30

3

+5 − 2 = 0

14

2

+3 +1 = 0

31

− 10sin( ) = 0

15

( ) −

1

32

cos(2 ) = −1

16

3

− 2 −

2

= 0

33

∙lg( +1) = 1

17

+ +1 = 0

34

2lg( ) −

2

+1 = 0

Додаток 2

2

1

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18