Шаг:1 | | Шаг:2 |
| + |
80 |
|
1*(1+0.04s)+0.5s*(1+0.04s) |
| = |
| + |
80 |
|
1*1+1*0.04s+0.5s*(1+0.04s) |
| = |
| Шаг:3 | | Шаг:4 |
= |
| + |
80 |
|
1+1*0.04s+0.5s*(1+0.04s) |
| = |
| + |
80 |
|
1+0.04s+0.5s*(1+0.04s) |
| = |
| Шаг:5 | | Шаг:6 |
= |
| + |
80 |
|
1+0.04s+0.5s*1+0.5s*0.04s |
| = |
| + |
80 |
|
1+0.04s+0.5s+0.5s*0.04s |
| = |
| Шаг:9 | | Шаг:10 |
= |
| 100*(1+0.54s+0.02s^2)+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| 100*1+100*0.54s+100*0.02s^2+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| Шаг:11 |
= |
| 100+100*0.54s+100*0.02s^2+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| Шаг:12 | | Шаг:13 |
= |
| 100+54s+100*0.02s^2+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| 100+54s+2s^2+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| Шаг:14 | | Шаг:15 |
= |
| 100+54s+2s^2+80*1+80*0.01s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| 100+54s+2s^2+80+80*0.01s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| Шаг:16 | | Шаг:17 |
= |
| 100+54s+2s^2+80+0.8s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| 180+54s+2s^2+0.8s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| Шаг:18 | | Шаг:19 |
= |
| 180+54s+2.8s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
| = |
| 180+54s+2.8s^2 |
|
1*(1+0.54s+0.02s^2)+0.01s^2*(1+0.54s+0.02s^2) |
| = |
| Шаг:20 |
= |
| 180+54s+2.8s^2 |
|
1*1+1*0.54s+1*0.02s^2+0.01s^2*(1+0.54s+0.02s^2) |
| = |
| Шаг:21 |
= |
| 180+54s+2.8s^2 |
|
1+1*0.54s+1*0.02s^2+0.01s^2*(1+0.54s+0.02s^2) |
| = |
| Шаг:22 |
= |
| 180+54s+2.8s^2 |
|
1+0.54s+1*0.02s^2+0.01s^2*(1+0.54s+0.02s^2) |
| = |
| Шаг:23 |
= |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2*(1+0.54s+0.02s^2) |
| = |
| Шаг:24 |
= |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2*1+0.01s^2*0.54s+0.01s^2*0.02s^2 |
| = |
| Шаг:25 |
= |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2+0.01s^2*0.54s+0.01s^2*0.02s^2 |
| = |
| Шаг:26 |
= |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2+0.0054s^3+0.01s^2*0.02s^2 |
| = |
| Шаг:27 |
= |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2+0.0054s^3+0.0002s^4 |
| = |
| Шаг:28 | | Ответ |
= |
| 180+54s+2.8s^2 |
|
1+0.54s+0.03s^2+0.0054s^3+0.0002s^4 |
| = |
| 180+54s+2.8s^2 |
|
1+0.54s+0.03s^2+0.0054s^3+0.0002s^4 |
|
Шаг:1. Раскрываем скобки (1+0.5s)*(1+0.04s)=1*(1+0.04s)+0.5s*(1+0.04s)
Стало: |
| + |
80 |
|
1*(1+0.04s)+0.5s*(1+0.04s) |
|
Шаг:2. Раскрываем скобки 1*(1+0.04s)=1*1+1*0.04s
Стало: |
| + |
80 |
|
1*1+1*0.04s+0.5s*(1+0.04s) |
|
Шаг:3. Выполним умножение: 1*1 = 1
Стало: |
| + |
80 |
|
1+1*0.04s+0.5s*(1+0.04s) |
|
Шаг:4. Выполним умножение: 1*0.04s = 0.04s
Стало: |
| + |
80 |
|
1+0.04s+0.5s*(1+0.04s) |
|
Шаг:5. Раскрываем скобки 0.5s*(1+0.04s)=0.5s*1+0.5s*0.04s
Стало: |
| + |
80 |
|
1+0.04s+0.5s*1+0.5s*0.04s |
|
Шаг:6. Выполним умножение: 0.5s*1 = 0.5s
Стало: |
| + |
80 |
|
1+0.04s+0.5s+0.5s*0.04s |
|
Шаг:7. Выполним умножение: 0.5s*0.04s = 0.02s^2
Шаг:8. Выполним сложение: 0.04s+0.5s = 0.54s
Шаг:9. Запишем дроби под общий знаменатель (1+0.01s^2)*(1+0.54s+0.02s^2)
Стало: |
| 100*(1+0.54s+0.02s^2)+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:10. Раскрываем скобки 100*(1+0.54s+0.02s^2)=100*1+100*0.54s+100*0.02s^2
Стало: |
| 100*1+100*0.54s+100*0.02s^2+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:11. Выполним умножение: 100*1 = 100
Стало: |
| 100+100*0.54s+100*0.02s^2+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:12. Выполним умножение: 100*0.54s = 54s
Стало: |
| 100+54s+100*0.02s^2+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:13. Выполним умножение: 100*0.02s^2 = 2s^2
Стало: |
| 100+54s+2s^2+80*(1+0.01s^2) |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:14. Раскрываем скобки 80*(1+0.01s^2)=80*1+80*0.01s^2
Стало: |
| 100+54s+2s^2+80*1+80*0.01s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:15. Выполним умножение: 80*1 = 80
Стало: |
| 100+54s+2s^2+80+80*0.01s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:16. Выполним умножение: 80*0.01s^2 = 0.8s^2
Стало: |
| 100+54s+2s^2+80+0.8s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:17. Выполним сложение: 100+80 = 180
Стало: |
| 180+54s+2s^2+0.8s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:18. Выполним сложение: 2s^2+0.8s^2 = 2.8s^2
Стало: |
| 180+54s+2.8s^2 |
|
(1+0.01s^2)*(1+0.54s+0.02s^2) |
|
Шаг:19. Раскрываем скобки (1+0.01s^2)*(1+0.54s+0.02s^2)=1*(1+0.54s+0.02s^2)+0.01s^2*(1+0.54s+0.02s^2)
Стало: |
| 180+54s+2.8s^2 |
|
1*(1+0.54s+0.02s^2)+0.01s^2*(1+0.54s+0.02s^2) |
|
Шаг:20. Раскрываем скобки 1*(1+0.54s+0.02s^2)=1*1+1*0.54s+1*0.02s^2
Стало: |
| 180+54s+2.8s^2 |
|
1*1+1*0.54s+1*0.02s^2+0.01s^2*(1+0.54s+0.02s^2) |
|
Шаг:21. Выполним умножение: 1*1 = 1
Стало: |
| 180+54s+2.8s^2 |
|
1+1*0.54s+1*0.02s^2+0.01s^2*(1+0.54s+0.02s^2) |
|
Шаг:22. Выполним умножение: 1*0.54s = 0.54s
Стало: |
| 180+54s+2.8s^2 |
|
1+0.54s+1*0.02s^2+0.01s^2*(1+0.54s+0.02s^2) |
|
Шаг:23. Выполним умножение: 1*0.02s^2 = 0.02s^2
Стало: |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2*(1+0.54s+0.02s^2) |
|
Шаг:24. Раскрываем скобки 0.01s^2*(1+0.54s+0.02s^2)=0.01s^2*1+0.01s^2*0.54s+0.01s^2*0.02s^2
Стало: |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2*1+0.01s^2*0.54s+0.01s^2*0.02s^2 |
|
Шаг:25. Выполним умножение: 0.01s^2*1 = 0.01s^2
Стало: |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2+0.01s^2*0.54s+0.01s^2*0.02s^2 |
|
Шаг:26. Выполним умножение: 0.01s^2*0.54s = 0.0054s^3
Стало: |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2+0.0054s^3+0.01s^2*0.02s^2 |
|
Шаг:27. Выполним умножение: 0.01s^2*0.02s^2 = 0.0002s^4
Стало: |
| 180+54s+2.8s^2 |
|
1+0.54s+0.02s^2+0.01s^2+0.0054s^3+0.0002s^4 |
|
Шаг:28. Выполним сложение: 0.02s^2+0.01s^2 = 0.03s^2
Стало: |
| 180+54s+2.8s^2 |
|
1+0.54s+0.03s^2+0.0054s^3+0.0002s^4 |
|