Задания к контрольной работе
Задание 1. Построить график функции y=F(x) на заданном диапазоне изменения аргумента. Найти все корни, входящие в этот диапазон.
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№ вар. |
Функция |
Диапазон изменения аргумента |
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[1,4] |
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[3,6] |
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[0,3] |
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[0,2.5] |
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[0,2π] |
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[-10,10] |
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[-1,3] |
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[0,2] |
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[5,7] |
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[0,2] |
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[-1,1] |
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[2,4] |
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[1,110] |
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[0,2] |
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[π/2,3π/2] |
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[2,3] |
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[0,2] |
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[0,4;1] |
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[1;3] |
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[1;2] |
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[2;4] |
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[0;1] |
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[0;0,8] |
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[1;2] |
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[0;0,85] |
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[0,5;1] |
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[1;3] |
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[1;3] |
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[0;1] |
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[1;2] |
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Задание 2. Построить график кусочно-заданной функции
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№ вар. |
Функция |
Исходные данные |
Диапазон изменения аргумента |
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[0;3] |
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[0,8;2] |
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[1;2] |
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[0,7;2] |
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[0,2;8] |
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[1;5] |
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[0,1;1] |
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[2;5] |
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[0,5;2] |
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[0,2;2] |
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[0;7] |
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[0,8;2] |
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[0;12] |
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[1;10] |
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[-1;1] |
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[-2,2] |
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[-2,1.5] |
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[-1.5,1.5] |
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[-1.8,1.8] |
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[-2,2] |
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[-2,1.8] |
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[-1.7,1.5] |
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[-1.5,1.8] |
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[-1.4,1.9] |
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[-1.4,1.4] |
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[-1.4,1.4] |
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[-1.4,1.9] |
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[-1.7,1.5] |
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[-2,1.8] |
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[-2,2] |
Задание 3. Решить систему уравнений
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№ вар. |
Система уравнений |
№ вар. |
Система уравнений |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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8. |
2x+6y-z=-12 5x-y+2z=29 -3x-4y+z=5 |
23. |
x + y – z + t = 4 2x – y + 3z – 2t =1 x – y + 2t =6 3x – y + z – t = 0 |
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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 |
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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 |
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` |
3x-y=5 -2x+y+z=0 2x-y+4z=15 |
26. |
4x-3y+2z=9 2x+5y-3z=4 5x+6y-2z=18 |
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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 |
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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 |
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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 |
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15. |
x+y+2z=-1 2x-y+2z=-4 4x+y+4z=-2 |
30. |
2x-y-z=4 3x+4y-2z=11 3x-2y+4z=11 |
Задание 4. Найти сумму ряда, состоящего из 10 слагаемых.
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№ вар. |
Член послед. |
№ вар. |
Член послед. |
№ вар. |
Член послед. |
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1. |
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11. |
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21. |
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2. |
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12. |
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22. |
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3. |
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13. |
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23. |
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4. |
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14. |
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24. |
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5. |
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15. |
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25. |
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6. |
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16. |
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26. |
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7. |
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17. |
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27. |
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8. |
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18. |
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28. |
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9. |
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19. |
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29. |
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10. |
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20. |
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30 |
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ГОУВПО