Лабораторная работа №3 / Laba3 / CM2JOB

Работа 3 :

МЕТОД НЬЮТОНА

1:

arccos x2 = x;

½

0; 6 x2 + 2 y2 = 1

tg(xy + 0; 4) = x2

2: ln x = 1 + x2 ;

½ x2

+ y2 = 1

1

sin(x + y) = 1; 6 x

3: ln ln x = e¡x

;

½ x2

+ 2 y2 = 1

2

tg(xy + 0; 1) = x2

4:

arctg x = x2

;

½ x2

+ y2 = 1

1

sin(x + y) = 1; 4 y

5: x = e1=px;

½ 0; 9 x2 + 2 y2 = 1

tg(xy + 0; 3) = x2

6: x4 ¡ 13x2 + 36 = x;

½ x2

+ y2 = 1

1

sin(x + y) = 1; 2 x + 0; 2

7: 3x2 ¡ x4 ¡ 1 = ln x;

½ 0; 8 x2 + 2 y2 = 1

½ x2

tg xy = x2

8:

x = arctg

x;

¡ y¡2 = 0; 75

¡

1

sin(x

y) = xy

1

9:

sin x2 = 6x ¡ 1;

½

0; 7 x2 + 2 y2

= 1

tg xy = x2

10: ln2x = x;

½ x2 + y2

= 1

1

sin(x + y) = 1; 5 x + 0; 1

ex = arccosp

½ x2

+ 2 y2 = 1

11:

x

;

tg(x ¡ y) = xy

12: 1 ¡ x = e1=x;

½ x2

+ y2

= 1

1 + x

sin(x + y) = 1; 1 y + 0; 1

13:

arccos x2 = 2x;

½

1:5 x2 + 0:4 y2 = 1

tg(xy + 0; 4) = y2

14: ln x = 1 + x2 ;

½ x2 + y2 = 1

2

sin(x + y) = 1; 6 y

15: ln ln x = e¡x

=2;

½ 2x2

+ y2 = 1

2

tg(xy + 0; 1) = y2

1

sin(x + y) = 1; 4 x

16:

arctg

= x2=2;

½ x2 + y2 = 1

x

17: 2x = e1=px;

½ 1:9 x2

+ 0:9 y2 = 1

tg(xy + 0; 3) = y2

18: x4 ¡ 13x2 + 36 = x;

½ x2 + y2 = 1

2

sin(x + y) = 1; 2 y + 0; 2

19: 3x2 ¡ x4 ¡ 1 = ln (2x);

½ 1:9 x2 + 0:9 y2 = 1

tg xy = y2

20:

2x = arctg

x;

½ x2 ¡ y¡2

= 0; 85

¡

1

sin(x

y) = xy

1

21:

sin x2 = 3x ¡ 1;

½

1:9 x2

+ 0:8 y2

= 1

½ x2

tg xy = y2

22: ln2x = x;

+ y2 = 1

2

sin(x + y) = 1; 5 y + 0; 1

e2x = arccosp

½ x2 + 1:5 y2 = 1

23:

;

tg(x ¡ y) = xy

x

24: 1 ¡ x = e2=x;

½ x2

+ y2 = 1

1 + x

sin(x + y) = 1; 1 x + 0; 1