ЗАДАНИЯ
Оценить корни уравнения графически и уточнить один из них методом Ньютона с точностью до 0.001:
1.ln x +(x +1)3 = 0 .
2.x 2x =1.
3.x +1 = 1x .
4. x −cos x = 0 .
5.3x +cos x +1 = 0 .
6.x +ln x = 0.5 .
7. |
2 − x = ln |
x . |
|
8. |
(x −1)2 = |
1 |
ex . |
|
|
2 |
|
9.(2 − x) ex = 0.5 .
10.2.2x −2x = 0 .
11.x2 + 4 sin x = 0 .
12. 2x |
− |
lg x |
= 7 . |
13. 5x |
− |
8 ln |
x =8. |
14.3x −ex = 0 .
15.x(x +1)2 = 1.
16.x3 + x2 − x −0.5 = 0 .
17.ex −2x −2 = 0.
18.sin x −2x2 +0.5 = 0 .
19.3x −5x2 +1 = 0.
20.tg x −5x2 +1 = 0 .
21.lg(2x +1)− x3 +1 = 0 .
22. x + 2 −cos x = 0 .
23.x5 −7x2 +3 = 0 .
24.10x −5x − 2 = 0.
25.ln(x + 2)− x4 + 0.5 = 0 .