ЗАДАНИЯ К РАСЧЕТНО-ГРАФИЧЕСКОЙ РАБОТЕ
Задание 1. Построить график функции y=F(x) на заданном диапазоне изменения аргумента. Найти все корни, входящие в этот диапазон.
| № вар. | Функция | Диапазон изменения аргумента | |
| | 
| [1,4] | |
| | 
| [3,6] | |
| | 
| [0,3] | |
| | 
| [0,2.5] | |
| | 
| [0,2π] | |
| | 
| [-10,10] | |
| | 
| [-1,3] | |
| | 
| [0,2] | |
| | 
| [5,7] | |
| | 
| [0,2] | |
| | 
| [-1,1] | |
| | 
| [2,4] | |
| | 
| [1,110] | |
| | 
| [0,2] | |
| | 
| [π/2,3π/2] | |
| 16. | 
| [2,3] | |
| 17. | 
| [0,2] | |
| 18. | 
| [0,4;1] | |
| 19. | 
| [1;3] | |
| 20. | 
| [1;2] | |
| 21. | 
| [2;4] | |
| 22. | 
| [0;1] | |
| 23. | 
| [1;2] | |
| 24. | 
| [1;2] | |
| 25. | 
| [0;0,85] | |
| 26. | 
| [0,5;1] | |
| 27. | 
| [1;3] | |
| 28. | 
| [1;3] | |
| 29. | 
| [0;1] | |
| 30. |
| [0;0,8] | |
Задание 2. Решить систему уравнений
| № вар. | Система уравнений | № вар. | Система уравнений |
| 1. | 2.1x-4.5y-2.0z=19,07 3.0x+2.5y+4.3z=3.21 -6.0x+3.5y+2.5z=-18.25 | 16. | 7x-3y+1.6z=5 3x-20y+2.5z=6 16x-2y+3z=5 |
| 2. | 20x-2y+4z=3 30x+2y+5z=4 2x-6y+5z=5 | 17. | 2.6x-4.5y-2.0z=19.07 3.0x+3.0y+4.3z=3.21 -6.0x-3.5y+3.0z=-18.25 |
| 3. | 2.5x-3.0y+4.6z=-1.05 -3.5x+2.6y+1.5z=-14.46 -6.5x-3.5y+7.3z=-17.735 | 18. | -8.5x-7y+5.2z=5 -9x-2y+5.5z=6 -6x+7y+2.8z=8 |
| 4. | x+2y+4z=31 5x+y+2z=29 3x-y+z=10 | 19. | 3.2x-1.5y+0.5z=0.9 1.6x+2.5y-z=1.55 x+4.1y-1.5z=2.08 |
| 5. | 1.5x-0.2y+0.1z=0.4 -0.1x+1.5y-0.1z=0.8 -0.3x+0.2y-0.5z=0.2 | 20. | 12x-20y+5z=5 3x+2y+5z=4 2x-8y+5z=5 |
| 6. | 8x-3y+5.6z=5 3x-2y+2.5z=6 6x-2y+3.8z=5 | 21. | x-2y+3z=6 2x+3y-4z=16 3x-2y-5z=12 |
| 7. | 12x-2y+z=5 3x+2y+2z=6 6x-2y+3z=5 | 22. | 3.1x+1.5y+1.0z=10.83 1.5x+2.5y+0.5z=9.20 1.0x+0.5y+4.2z=17.10 |
| 8. | 2x+6y-z=-12 5x-y+2z=29 -3x-4y+z=5 | 23. | 2x-y-z=4 3x+4y-2z=11 3x-2y+4z=11 |
| 9. | 2x + y – z =5 x – 2y + 2z = -5 7x + y – z = 10 | 24. | 0.04x – 0.08y + 4z = 20 4x + 0.24y – 0.08z = 8 0.09x + 3y – 0.15z = 9 |
| 10. | 6x – 5y +7z + 8t = 3 3x + 11y + 2z + 4t = 6 3x + 2y + 3z + 4t = 1 x + y + z = 0 | 25. | x – y + z – t = -2 x - 2y – 2z – t = -5 2x – y – 3z + 2t = -1 x + 2y + 3z – 6t = -10 |
| 11. | 3x-y=5 -2x+y+z=0 2x-y+4z=15 | 26. | 4x-3y+2z=9 2x+5y-3z=4 5x+6y-2z=18 |
| 12. | 5x+8y-z=-7 x+2y+3z=1 2x-3y+2z=9 | 27. | 3x+4y+2z=8 2x-y-3z=-1 x+5y+z=0 |
| 13. | x+2y+z=4 3x-5y+3z=1 2x+7y-z=8 | 28. | x+5y+z=-7 2x-y-z=0 x-2y-z=2 |
| 14. | x-2y+3z=6 2x+3y-4z=16 3x-2y-5z=12 | 29. | 3x-y+z=4 2x-5y-3z=-17 x+y-z=0 |
| 15. | x+y+2z=-1 2x-y+2z=-4 4x+y+4z=-2 | 30. | x + y – z + t = 4 2x – y + 3z – 2t =1 x – y + 2t =6 3x – y + z – t = 0 |
Задание 3. Найти сумму ряда, состоящего из 10 слагаемых.
| № вар. | Член послед. | № вар. | Член послед. | № вар. | Член послед. |
| 1. | 
| 11. | 
| 21. | 
|
| 2. | 
| 12. | 
| 22. | 
|
| 3. | 
| 13. | 
| 23. | 
|
| 4. | 
| 14. | 
| 24. | 
|
| 5. | 
| 15. | 
| 25. | 
|
| 6. | 
| 16. | 
| 26. | 
|
| 7. | 
| 17. | 
| 27. | 
|
| 8. | 
| 18. | 
| 28. | 
|
| 9. | 
| 19. | 
| 29. | 
|
| 10. | 
| 20. | 
| 
|