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Ãëàâíàÿ Ñëó÷àéíàÿ ñòðàíèöà Êîíòàêòû | Ìû ïîìîæåì â íàïèñàíèè âàøåé ðàáîòû! | |
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1. Óòî÷íèòü êîðåíü óðàâíåíèÿ, èñïîëüçóÿ ñëåäóþùèå ìåòîäû:
- ìåòîä ïîëîâèííîãî äåëåíèÿ;
- ìåòîä ïðîñòîé èòåðàöèè;
- ìåòîä êàñàòåëüíûõ (Íüþòîíà).
2. Äëÿ âàðèàíòîâ çàäàíèé, ïðåäñòàâëåííûõ â òàáëèöå 4, âûáðàòü òî÷íîñòü âû÷èñëåíèÿ.
3. Äëÿ âàðèàíòîâ çàäàíèé, ïðåäñòàâëåííûõ â òàáëèöå 6, âû÷èñëèòü êîðåíü ñ çàäàííîé òî÷íîñòüþ.
4. Äëÿ âàðèàíòîâ çàäàíèé, ïðåäñòàâëåííûõ â òàáëèöå 7,8,9, óñòàíîâèòü ãðàíèöû ñóùåñòâîâàíèÿ êîðíÿ, òî÷íîñòü âû÷èñëåíèÿ, óñòàíîâèòü ãðàíèöû ñóùåñòâîâàíèÿ êîðíÿ.
Òàáëèöà çàäàíèé ¹ 4.
Ï\Ï | Âèä óðàâíåíèÿ | Íà÷àëüíîå ïðèáëèæåíèå êîðíÿ |
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 ![]() | |
10. | x – 3 + sin (3.6x) = 0 | |
11. | arcos(x)- ![]() | |
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 |
Òàáëèöà çàäàíèé ¹ 5
Ï\Ï | Âèä óðàâíåíèÿ | Îòðåçîê |
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 |
Òàáëèöà çàäàíèé ¹ 6
¹ âàð. | Óðàâíåíèå | Èíòåðâàë | Òî÷íîñòü |
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 | [2; 3] | 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 – 0,4 (x ^ 2) – arcsinx = 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(õ + 0.5) - 0.5 = 0 | [0;2] | 10 ־³ |
24. | x ^3 – õ - 0.2 = 0 | [1;1,1] | 10 ־³ |
25. | x^ 4 + 2õ^ 3 – õ – 1 = 0 | [0; 1] | 10 ־³ |
26. | x ^ 3 – 0.2õ^ 2 - 0.2õ - 1.2 = 0 | [1;1,5] | 10 ־³ |
27. | 2sin^2õ/3 – Çñîs^2õ/4 = 0 | [0;Ï/2] | 10־³ |
28. | x ^ 4 + 0.8õ ^ 3 - 0.4õ ^ 2 - 1.4õ - 1.2 = 0 | [-1,2;-0,5] | 10־³ |
29. | x ^ 4 - 4.1õ ^ 3 + õ^ 2 - 5.1õ + 4.1 = 0 | [3,7;5] | 10־³ |
30. | õ2 ^ õ – 1 = 0 | [0;1] | 10־³ |
Òàáëèöà çàäàíèé ¹ 7
¹ âàð | Óðàâíåíèå | ¹ âàð | Óðàâíåíèå |
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 |
Òàáëèöà çàäàíèé ¹ 8
¹ âàð | Óðàâíåíèå | ¹ âàð | Óðàâíåíèå |
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 |
Òàáëèöà çàäàíèé ¹ 9
¹ âàð | Óðàâíåíèå | ¹ âàð | Óðàâíåíèå |
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 |
ËÀÁÎÐÀÒÎÐÍÀß ÐÀÁÎÒÀ ¹ 4
«Ìåòîäû ÷èñëåííîãî ðåøåíèÿ äèôôåðåíöèàëüíûõ óðàâíåíèé.
Óðàâíåíèÿ 1-ãî ïîðÿäêà»
Äàòà ïóáëèêîâàíèÿ: 2015-04-10; Ïðî÷èòàíî: 621 | Íàðóøåíèå àâòîðñêîãî ïðàâà ñòðàíèöû | Ìû ïîìîæåì â íàïèñàíèè âàøåé ðàáîòû!