Контрольная по ВМатем
.pdfЗадача 20. Определить количество действительных корней уравнения f ( x) = 0 , отделить эти корни и, применяя метод хорд и касательных, найти их приближенное значение с точностью 0, 01 .
1. |
x3 + 5x +1 = 0 |
44. |
x3 + 2x − 4 = 0 |
2. |
x3 + 5x + 7 = 0 |
45. |
x3 + 3x + 1 = 0 |
3. |
x3 + 4x − 6 = 0 |
46. |
x3 + 3x −1 = 0 |
4. |
x3 + x + 2 = 0 |
47. |
x3 + 2x + 2 = 0 |
5. |
x3 + x + 3 = 0 |
48. |
x3 + 3x − 2 = 0 |
6. |
x3 + 2x −11 = 0 |
49. |
x3 − 6x + 7 = 0 |
7. |
x3 + x +1 = 0 |
50. |
x3 − 3x2 + 4x − 5 = 0 |
8. |
x3 + x −1 = 0 |
51. |
x3 + 6x2 − 7 x + 8 = 0 |
9. |
x3 + 3x + 8 = 0 |
52. |
x3 − 6x2 + 9 = 0 |
10. |
x3 + 6x −1 = 0 |
53. |
x3 − 3x + 2 = 0 |
11. |
x3 + 2x + 4 = 0 |
54. |
x3 + 3x2 +1 = 0 |
12. |
x3 + x − 4 = 0 |
55. |
x3 − 5x2 + 3x −1 = 0 |
13. |
x3 + x − 2 = 0 |
56. |
x3 − 2x2 + x − 4 = 0 |
14. |
x3 + x − 3 = 0 |
57. |
x3 − 6x2 + 9x − 3 = 0 |
15. |
x3 + x + 4 = 0 |
58. |
2x3 − 4x2 +1 = 0 |
16. |
x3 + x + 5 = 0 |
59. |
x3 + 4x −1 = 0 |
17. |
x3 + x − 5 = 0 |
60. |
x3 − 6x + 5 = 0 |
18. |
x3 + x + 6 = 0 |
61. |
x3 − 3x2 + 1 = 0 |
19. |
x3 + x − 6 = 0 |
62. |
x3 + 6x2 + x − 4 = 0 |
20. |
x3 + 2x + 1 = 0 |
63. |
x3 + 4x + 6 = 0 |
21. |
x3 + 2x −1 = 0 |
64. |
x3 + 5x − 7 = 0 |
22. |
x3 + 2x + 2 = 0 |
65. |
x3 + 6x + 8 = 0 |
23. |
x3 + 2x − 2 = 0 |
66. |
x3 + 5x + 7 = 0 |
24. |
x3 + 2x + 3 = 0 |
67. |
x3 + 4x − 2 = 0 |
25. |
x3 + 2x − 3 = 0 |
68. |
x3 + 5x +1 = 0 |
26 |
x3 + 5x +1 = 0 |
27 |
x3 + 5x + 7 = 0 |
171
28 |
x3 + 4x − 6 = 0 |
78 |
x3 + 3x −1 = 0 |
29 |
x3 + x + 2 = 0 |
79 |
x3 + 2x + 2 = 0 |
30 |
x3 + x + 3 = 0 |
80 |
x3 + 3x − 2 = 0 |
31 |
x3 + 2x −11 = 0 |
81 |
x3 − 6x + 7 = 0 |
32 |
x3 + x +1 = 0 |
82 |
x3 − 3x2 + 4x − 5 = 0 |
33 |
x3 + x −1 = 0 |
83 |
x3 + 6x2 − 7 x + 8 = 0 |
34 |
x3 + 3x + 8 = 0 |
84 |
x3 − 6x2 + 9 = 0 |
35 |
x3 + 6x −1 = 0 |
85 |
x3 − 3x + 2 = 0 |
36 |
x3 + 2x + 2 = 0 |
86 |
x3 + 3x2 +1 = 0 |
37 |
x3 + x − 4 = 0 |
87 |
x3 − 5x2 + 3x −1 = 0 |
38 |
x3 + x − 2 = 0 |
88 |
x3 − 2x2 + x − 4 = 0 |
39 |
x3 + x − 3 = 0 |
89 |
x3 − 6x2 + 9x − 3 = 0 |
40 |
x3 + x + 4 = 0 |
90 |
2x3 − 4x2 +1 = 0 |
41 |
x3 + x + 5 = 0 |
91 |
x3 + 4x −1 = 0 |
42 |
x3 + x − 5 = 0 |
92 |
x3 − 6x + 5 = 0 |
43 |
x3 + x + 6 = 0 |
93 |
x3 − 3x2 + 1 = 0 |
69 |
x3 + x − 6 = 0 |
94 |
x3 + 6x2 + x − 4 = 0 |
70 |
x3 + 2x + 1 = 0 |
95 |
x3 + 4x + 6 = 0 |
71 |
x3 + 2x −1 = 0 |
96 |
x3 + 5x − 7 = 0 |
72 |
x3 + 2x + 2 = 0 |
97 |
x3 + 6x + 8 = 0 |
73 |
x3 + 2x − 2 = 0 |
98 |
x3 + 5x + 7 = 0 |
74 |
x3 + 2x + 3 = 0 |
99 |
x3 + 4x − 2 = 0 |
75 |
x3 + 2x − 3 = 0 |
100 |
x3 + 5x +1 = 0 |
76x3 + 2x − 4 = 0
77x3 + 3x + 1 = 0
172
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Таблица 1. |
|
|
Вариант |
a1 |
a2 |
a3 |
a4 |
1 |
1 |
2 |
3 |
4 |
2 |
1 |
3 |
4 |
5 |
3 |
1 |
4 |
5 |
6 |
4 |
1 |
5 |
6 |
7 |
5 |
1 |
6 |
7 |
8 |
6 |
1 |
7 |
8 |
9 |
7 |
-1 |
2 |
3 |
4 |
8 |
-1 |
3 |
4 |
5 |
9 |
-1 |
4 |
5 |
6 |
10 |
-1 |
5 |
6 |
7 |
11 |
2 |
2 |
3 |
4 |
12 |
2 |
3 |
4 |
5 |
13 |
2 |
4 |
5 |
6 |
14 |
2 |
5 |
6 |
7 |
15 |
2 |
6 |
7 |
8 |
16 |
2 |
7 |
8 |
9 |
17 |
-2 |
2 |
3 |
4 |
18 |
-2 |
3 |
4 |
5 |
19 |
-2 |
4 |
5 |
6 |
20 |
-2 |
5 |
6 |
7 |
21 |
3 |
2 |
3 |
4 |
22 |
3 |
3 |
4 |
5 |
23 |
3 |
4 |
5 |
6 |
24 |
3 |
5 |
6 |
7 |
25 |
3 |
6 |
7 |
8 |
26 |
3 |
7 |
8 |
9 |
27 |
-3 |
2 |
3 |
4 |
28 |
-3 |
3 |
4 |
5 |
29 |
-3 |
4 |
5 |
6 |
30 |
-3 |
5 |
6 |
7 |
31 |
4 |
2 |
3 |
4 |
32 |
4 |
3 |
4 |
5 |
33 |
4 |
4 |
5 |
6 |
173
34 |
4 |
5 |
6 |
7 |
35 |
4 |
6 |
7 |
8 |
36 |
4 |
7 |
8 |
9 |
37 |
-4 |
2 |
3 |
4 |
38 |
-4 |
3 |
4 |
5 |
39 |
-4 |
4 |
5 |
6 |
40 |
-4 |
5 |
6 |
7 |
41 |
5 |
2 |
3 |
4 |
42 |
5 |
3 |
4 |
5 |
43 |
5 |
4 |
5 |
6 |
44 |
5 |
5 |
6 |
7 |
45 |
5 |
6 |
7 |
8 |
46 |
5 |
7 |
8 |
9 |
47 |
-5 |
2 |
3 |
4 |
48 |
-5 |
3 |
4 |
5 |
49 |
-5 |
4 |
5 |
6 |
50 |
-5 |
5 |
6 |
7 |
51 |
6 |
2 |
3 |
4 |
52 |
6 |
3 |
4 |
5 |
53 |
6 |
4 |
5 |
6 |
54 |
6 |
5 |
6 |
7 |
55 |
6 |
6 |
7 |
8 |
56 |
6 |
7 |
8 |
9 |
57 |
-6 |
2 |
3 |
4 |
58 |
-6 |
3 |
4 |
5 |
59 |
-6 |
4 |
5 |
6 |
60 |
-6 |
5 |
6 |
7 |
61 |
7 |
2 |
3 |
4 |
62 |
7 |
3 |
4 |
5 |
63 |
7 |
4 |
5 |
6 |
64 |
7 |
5 |
6 |
7 |
65 |
7 |
6 |
7 |
8 |
66 |
7 |
7 |
8 |
9 |
67 |
-7 |
2 |
3 |
4 |
68 |
-7 |
3 |
4 |
5 |
174
69 |
-7 |
4 |
5 |
6 |
70 |
-7 |
5 |
6 |
7 |
71 |
8 |
2 |
3 |
4 |
72 |
8 |
3 |
4 |
5 |
73 |
8 |
4 |
5 |
6 |
74 |
8 |
5 |
6 |
7 |
75 |
8 |
6 |
7 |
8 |
76 |
8 |
7 |
8 |
9 |
78 |
-8 |
2 |
3 |
4 |
79 |
-8 |
3 |
4 |
5 |
80 |
-8 |
4 |
5 |
6 |
81 |
9 |
2 |
3 |
4 |
82 |
9 |
3 |
4 |
5 |
83 |
9 |
4 |
5 |
6 |
84 |
9 |
5 |
6 |
7 |
85 |
9 |
6 |
7 |
8 |
86 |
9 |
7 |
8 |
9 |
87 |
-9 |
2 |
3 |
4 |
88 |
-9 |
3 |
4 |
5 |
89 |
-9 |
4 |
5 |
6 |
90 |
-9 |
5 |
6 |
7 |
91 |
3 |
2 |
3 |
4 |
92 |
3 |
2 |
4 |
5 |
93 |
3 |
2 |
5 |
6 |
94 |
3 |
2 |
6 |
7 |
95 |
3 |
2 |
7 |
8 |
96 |
3 |
2 |
8 |
9 |
97 |
-3 |
2 |
3 |
4 |
98 |
-3 |
2 |
4 |
5 |
99 |
-3 |
2 |
5 |
6 |
100 |
-3 |
2 |
6 |
7 |
175