:
1. , Eureka.
2. , .
3. QBasic.
1. ?
2. ?
3. F(x), F(x)?
4. F(x) ?
5. ?
6. F(x)=0 ?
7. ?
8. ?
9. ?
10. 0
11. - ?
.
1. , :
- ;
- ;
- ().
2. , 4, .
3. , 6, .
4. , 7,8,9, , , .
4.
\ | ||
1. | x sin 2x 1 = 0 | |
2. | 2x ^ 3 + 4x 1 = 0 | 0.1 |
3. | x ^ 3 + 12x 2 = 0 | 0.95 |
4. | 5 x 8lnx = 8 | 4.32 |
5. | x ^ 3 + x = 1000 | 9.42 |
6. | x sin x = 0.25 | 1.17 |
7. | x ^ 3 6x ^ 2 + 20 = 0 | 2.25 |
8. | 5x ^ 3 + 10x ^ 2 + 5x 1 = 0 | 0.6 |
9. | 3sin +0.34x-3.8 =0 | |
10. | x 3 + sin (3.6x) = 0 | |
11. | arcos(x)- = 0 | |
12. | √1- 0.4x ^ 2 arcsin x = 0 | |
13. | x 2 + sin x = 0 | 1.2 |
14. | 1 x + sin x ln (1 + x) = 0 | |
15. | x ^ 2 ln (1 + x) 3 = 0 | |
16. | x ^ 3 + x ^ 2 3 = 0 | 0.6 |
17. | x ^ 3 x 0.2 = 0 | 0.9 |
18. | 5x ^ 3 x 1 = 0 | 0.6 |
19. | x ^ 3 2x 5 = 0 | 1.9 |
20. | x ^ 3 + x = 1000 | 9.1 |
21. | x ^ 4 + 2x ^ 3 x 1 = 0 | |
22. | x ^ 3 x 2 = 0 | 0.9 |
23. | x sin x/2 1 = 0 | |
24. | 2 ^ 3 + 4x 1 = 0 | 0.1 |
25. | x ^ 3 + 12x 2 = 0 | 0.95 |
5
\ | ||
1. | 0.25x ^ 3 + x 1.2502 = 0 | 0, 2 |
2. | 0.1x ^ 2 xlnx = 0 | 1, 2 |
3. | 3x 4lnx 5 = 0 | 2, 4 |
4. | e ^ x e ^ -x 2 = 0 | 0, 1 |
5. | e ^ x + lnx 10x = 0 | 3, 4 |
6. | 3x 14 + e ^ x e ^ -x = 0 | 1, 3 |
7. | 3ln ^ 2x + 6lnx 5 = 0 | 1, 3 |
8. | 2xsinx cosx = 0 | 0.4, 1 |
9. | xtgx 1\3 = 0 | 0.2, 1 |
10. | √ 1 x - cos√ 1 x = 0 | 0, 1 |
|
|
6
. | |||
1. | x 1\ (2 + sin2x) = 0 | [0; 1] | 10 ־³ |
2. | arcsin(x\3) - √ 1 (x\3) ^ 2 = 0 | [ 1,5; 3] | 10 ־³ |
3. | x - √ 9 x+ x ^ 2 = 0 | [1; 2] | 10 ־³ |
4. | √1 x ^ 2 - arcsin x = 0 | [0; 1] | 10 ־³ |
5. | tgx (1/3)(tgx)^3 + (1/5)(tg x) ^ 5 1/3 = 0 | [0; 0,8] | 10 ־³ |
6. | e ^ x e (- x) 2 = 0 | [0; 1] | 10 ־³ |
7. | cosx e(-(x ^ 2) / 2) + x 1 = 0 | [0; 2] | 10 ־³ |
8. | sin(x ^ 2) + cos(x ^ 2) 10x = 0 | [0; 1] | 10 ־³ |
9. | 3sin√x + 0,35x 3,8 = 0 | [2; 3] | 10 ־³ |
10. | √1 0,04 (x ^ 2) x = 0 | [0; 1] | 10 ־³ |
11. | 1/4(x ^ 3) + x 1,25 = 0 | [0; 1] | 10 -5 |
12. | x sin(x + 2) = 0 | [0; 1] | 10 -5 |
13. | √1 x - cos√1 x = 0 | [0; 1] | 10 ־³ |
14. | 0,1(x ^ 2) x lnx = 0 | [1; 2] | 10 ־³ |
15. | 3x 4 lnx 5 = 0 | [1;4] | 10 ־³ |
16. | e ^ x + lnx 10 x = 0 | [1; 4] | 10 ־³ |
17. | x tgx 1/3 = 0 | [0; 1] | 10 ־³ |
18. | 0,25(x ^ 3) + x 1,25 = 0 | [0; 2] | 10 ־³ |
19. | 3x 14 + e ^ x + e (-x) = 0 | [1; 3] | 10 ־³ |
20. | 2x sinx cosx = 0 | [0,4; 1] | 10 ־³ |
21. | 1/(1 + x ^ 2) x = 0 | [1; 2] | 10 ־³ |
22. | .(tg x) ^ 2 x = 0 | [1; 2] | 10 ־³ |
23. | x + ln( + 0.5) - 0.5 = 0 | [0;2] | 10 ־³ |
24. | x ^3 - 0.2 = 0 | [1;1,1] | 10 ־³ |
25. | x^ 4 + 2^ 3 1 = 0 | [0; 1] | 10 ־³ |
26. | x ^ 3 0.2^ 2 - 0.2 - 1.2 = 0 | [1;1,5] | 10 ־³ |
27. | 2sin^2/3 s^2/4 = 0 | [0;/2] | 10־³ |
28. | x ^ 4 + 0.8 ^ 3 - 0.4 ^ 2 - 1.4 - 1.2 = 0 | [-1,2;-0,5] | 10־³ |
29. | x ^ 4 - 4.1 ^ 3 + ^ 2 - 5.1 + 4.1 = 0 | [3,7;5] | 10־³ |
30. | 2 ^ 1 = 0 | [0;1] | 10־³ |
7
1. | x sinx = 0,25 16. | 16. | tg(0,3x + 0,4) = x ^ 2 |
2. | tg(0,58x + 0,1) = x ^ 217. | 17. | x ^ 2 20sinx = 0 |
3. | √x cos(0,387x) = 018. | 18. | ctgx x/4 = 0 |
4. | tg(0,4x + 0,4) = x ^ 2 19. | 19. | tg(0,47x + 0,20 = 0 |
5. | lgx 7/(2x + 6) = 020. | 20. | x ^ 2 + 4sinx = 0 |
6. | tg(0,5x + 0,2) = x ^ 2 21. | 21. | ctgx x/2 = 0 |
7. | 3x cosx 1 = 022. | 22. | 2x lgx 7 = 0 |
8. | x + lgx = 0,523. | 23. | tg(0,44x + 0,30 = 0 |
9. | tg(0,5x + 0,1) = x ^ 2 24. | 24. | 3x cosx 1 = 0 |
10. | x ^ 2 + 4sinx = 025. | 25. | ctgx x/10 = 0 |
11. | ctg1,05x x ^ 2 = 026. | 26. | x ^ 2 + 4sinx = 0 |
12. | tg(0,4x + 0,3) = x ^ 2 27. | 27. | tg(0,36x + 0,4) = 0 |
13. | xlgx 1,2 = 028. | 28. | x + lgx = 0,5 |
14. | 1,8x ^ 2 sin10x = 0 29. | 29. | ctgx x/5 = 0 |
15. | ctgx x/4 = 030. | 30. | 2lgx x/2 + 1 = 0 |
8
1. | x ^ 3 3x ^ 2 + 9x 8 = 0. | x ^ 3 + 4x 6 = 0 | |
2. | x ^ 3 6x 8 = 0 | x ^ 3 + 0,2x ^ 2 + 0,5x + 0,8 = 0 | |
3. | x ^ 3 3x ^ 2 + 6x + 3 = 0 | x ^ 3 3x 62 + 12x 12 = 0 | |
4. | x ^3 0,1x ^ 2 + 0,4x 1,5 = 0 | x ^3 -0,2 x^2 + 0,3x + 1,2 = 0 | |
5. | x ^ 3 3x ^ 2 + 9x + 2= 0 | x ^ 3 2x + 4 = 0 | |
6. | x ^ 2 + x 5 = 0 | x ^ 3 0,2x ^ 2 + 0,5x 1,4 = 0 | |
7. | x ^ 3+ 0,2 x ^2 +0,5x 1,2 = 0 | x ^ 3 3x ^ 2 + 6x 5 = 0 | |
8. | x ^ 3 + 3x + 1 = 0 | x ^ 3 0,1x ^ 2 + 0,4x + 1,2 = 0 | |
9. | x ^ 3 + 0,2x ^ 2 + 0,5x 2 = 0 | x ^ 3 0,2x ^ 2 + 0,5x 1 = 0 | |
10. | x ^ 3 3x ^ 2 + 12x 9 = 0 | x ^ 3 + 3x ^ 2 + 12x + 3 = 0 | |
11. | x ^3 0,2x ^ 2 + 0,3x 1,2 = 0 | x ^ 3 0,1x ^ 2 + 0,4x + 2 = 0 | |
12. | x ^ 3 3x ^ 2 + 6x 2 = 0 | x ^ 3 0,2 x ^ 2 + 0,4x 1,4 = 0 | |
13. | x ^ 3 0,1x ^ 2 +0,4x 1,5 = 0 | x ^ 3 + 0,4x ^ 2 + 0,6x 1,6 = 0 | |
14. | x ^ 3 + 3x ^ 2 + 6x 1 = 0 | x ^3 + x 3 = 0 | |
15. | x ^ 3 +0,1x ^ 2+0,4x 1,2 = 0 | x ^ 3 0,2x ^ 2 + 0,5x + 1,4 = 0 |
|
|
9
1). | 2x ^ 3 3x ^ 2 12x 5 = 0 | 2x ^ 3 3x ^ 2 12x + 1 = 0 | |
2). | x ^ 3 3x ^ 2 24x 3 = 0 | x ^ 3 3x ^ 2 24x 5 = 0 | |
3). | x ^ 3 3x ^ 2 + 3 = 0 | x ^ 3 4x ^ 2 + 2 = 0 | |
4). | x ^ 3 12x + 6 = 0 | x ^ 3 12x 5 = 0 | |
5). | x ^ 3 + 3x ^ 2 24x 10 = 0 | x ^ 3 + 3x ^ 2 24x + 1 = 0 | |
6). | 2x ^ 3 3x ^ 2 12x + 10 = 0 | 2x 6 3 3x^ 2 12x + 12 = 0 | |
7). | 2x ^ 3 + 9x ^ 2 21 = 0 | 2x ^ 3 + 9x ^ 2 6 = 0 | |
8). | x ^ 3 3x ^ 2 + 2,5 = 0 | x ^ 3 3x ^ 2 + 1,5 = 0 | |
9). | x ^ 3 + 3x ^ 2 2 = 0 | x ^ 3 3x ^ 2 24x + 10 = 0 | |
10). | x ^ 3 + 3x ^ 2 3,5 = 0 | x ^ 3 + 3x ^ 2 24x 3 = 0 | |
11). | x ^ 3 + 3x ^ 2 24x + 10 = 0 | x ^ 3 12x 10 = 0 | |
12). | x ^ 3 3x ^ 2 24x 8 = 0 | 2x ^ 3 + 9x ^ 2 4 = 0 | |
13). | 2x ^ 3 + 9x ^ 2 10 = 0 | 2x ^ 3 3x ^ 2 12x + 8 = 0 | |
14). | x^ 3 12x + 10 = 0 | X ^ 3 + 3x ^ 2 1 = 0 | |
15). | x ^ 3 +3x ^ 2 3 = 0 | x ^ 3 3x ^ 2 + 3,5 = 0 |
4
.
1-
QBasic .
1. ,
(F(x))
(,b)
(h)
( 0 )
2. (, -,
-)
3. -
4.
5.
6. 3- Excel.
1.
2.
3.
4. ( )
5.
6.
7. Excel.