home_work sample.pdf

# home_work sample.pdf - Бие даалт 1 Нэг...

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Бие даалт 1: Нэг хувьсагчийн функц, дифференциал тоолол 2015 оны 9 сарын 16 1 Комплекс тоо Тригонометрийн хэлбэрт бич. 1. z = 2 - 2 i 2. z = - 2 + 2 i 3. z = 1 + 3 i 4. z = - 2 + 3 i Тэгшитгэлийг бод. 5. x 2 - 2 x + 6 = 0 6. x 2 + 25 = 0 7. x 2 + 4 x + 13 = 0 8. x 2 + 81 = 0 Муаврын томьёо ашиглан йлдлийг г йцэтгэ. 9. (1 - 3 i ) 6 =? 10. ( i - 1) 5 =? 11. ( 3 + i ) 3 =? 12. (1 + cos π 4 + i sin π 4 ) 4 =? Дараах утгуудыг ол. 13. 6 - 1 =? 14. 3 11 =? 15. 3 - 2 + 2 i =? 16. 3 - 1 + i =? 17. 4 q - 8 + 8 3 i =? 18. - 5 - 12 i =? 19. 6 - 1 =? 20. 3 11 =? 21. 3 - 2 + 2 i =? 22. 3 - 1 + i =? 23. 4 q - 8 + 8 3 i =? 24. - 5 - 12 i =? 1

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йлдлийг г йцэтгэ. 25. 4 - 3 i 4 + 3 i =? 26. ( a + bi ) 3 - ( a - bi ) 3 =? 27. 2 - i 5 + 2 i =? 28. 2 - 3 i 4 + 5 i =? Тэгшитгэлийг бод. 29. x 3 - 8 = 0 30. x 5 - 1 = 0 31. x 4 - 81 = 0 32. x 4 + 1 = 0 33. x 6 + 64 = 0 34. x 5 - 1 = ( x - 1)( x 2 - 2 x cos 72 + 1)( x 2 - 2 x cos 144 + 1) адилтгалыг батал. 2 Функц 35. f ( x ) = 2 x - 3 x 2 + 1 ба ϕ ( x ) = 1 x 2 бол f [ ϕ (1)] =? 36. f ( x ) = arccos(lg x ) бол f ( 1 10 ) , f (10) утгуудыг ол. 37. f ( x ) = x 2 ба ϕ ( x ) = x 3 бол f ( b ) - f ( a ) ϕ ( b ) - ϕ ( a ) =? 38. f ( - 1) = 2 ба f (2) = - 3 байх y = f ( x ) шугаман функцийг ол.
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