Вопросы итогового контроля по предмету математика I

“HISOB” fanidan Joriy nazorat savollari
Imzo: ________ FISH___________________________________________________


22-variant

1. Umumiy hadi formula bilan aniqlangan katma-ketlikni dastlabgi beshta hadini yozing.

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

2. {x_n} ketma-ketlik chegaralangan deyiladi shunday M>0 shunday son uchun larda …. tengsizlik o’rinli bo’lsa

1. 
   
   
2. 
   x_n  M
   
3. 
   
   
4. 
   x_n  M
   

3. … ushbu sonli ketma-ketlikning umumiy hadi formulasini toping.

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

4. ?

1. 
   1/2
   
2. 
   -2
   
3. 
   2
   
4. 
   -4
   

5. funksiya limitini hisoblang

1. 
   -2
   
2. 
   2
   
3. 
   -1
   
4. 
   ₁
   

6. funksiya limitini hisoblang

1. 
   -2
   
2. 
   2
   
3. 
   3
   
4. 
   0
   

7. Hisoblang: .
A. 1/2
B. 2
C. -1/2
D. -2
8. .. funksiya limitini hisoblang

1. 
   2/e
   
2. 
   1/e
   
3. 
   0
   
4. 
   2
   

9. nimaga teng?.
_{А.
B.
C. 0
D. 1}
10. Agar bo’lib, biror nomerdan boshlab tengsizlik o’rinli bo’lsa, u holda ….. bo’ladi.

1. 
   =0
   
2. 
   >а
   
3. 
   <а
   
4. 
   =а
   

11. ni hisoblang .

1. 
   20
   
2. 
   -2
   
3. 
   30 
   
4. 
   0
   

12. Agar almashtirish bajarilsa, qaysi tenglik noto’g’ri?

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

13. chiziqlar bilan chegaralangan shaklning yuzasini hisoblash formulasini ko’rsating.

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

14. Aniq integralni natijasini toping. 

1. 
   _-1/3
   
2. 
   _-2
   
3. 
   ₃
   
4. 
   ₀
   

15. Aniq integralni hisoblang

1. 
   2
   
2. 
   0
   
3. 
   4
   
4. 
   -1
   

16. funksiya hosilasini toping.

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

17. funktsiyaning hosilasi topilsin:
A.
B.
C. -
D. -
18. funksiya hosilasini toping..

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

19. funksiya hosilasini toping.

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

20. y=sin(1-x⁴) funksiyani hosilasini toping

1. 
    y= 4^x3cos(1-^x4)
   
2. 
   y= -4x³cos(1-x⁴)
   
3. 
   y= -4x³sin(1-x⁴)
   
4. 
   y= -3x³cos(1-x⁴)
   

21. 
    qator qachon shartli yaqinlashuvchi bo’ladi?
    

1. 
   qator yaqinlashuvchi bo’lib, qator uzoqlashuvchi bo’lsa
   
2. 
   qator uzoqlashuvchi bo’lib, qator yaqinlashuvchi bo’lsa
   
3. 
   qator yaqinlashuvchi bo’lsa
   
4. 
   qator yaqinlashuvchi bo’lsa
   

21. 
    Qatorni yaqinlashuvchilikka tekshiring
    

1. 
   shartli yaqinlashuvchi
   
2. 
   uzoqlashuvchi
   
3. 
   absolyut yaqinlashuvi
   
4. 
   yaqinlashuvchi
   

21. 
    qator yig’indisini toping.
    

1. 
   1/6
   
2. 
   1/2
   
3. 
   1/3
   
4. 
   1/4
   

21. 
    Ushbu musbat sonli qator yaqinlashuvchi bo`lishining zaruriy va yetarli sharti
    

1. 
   Uning qismiy yig`indilari ketma-ketligi yuqoridan chegaralangan bo`lishi kerak,
   
2. 
   Umumiy xadidan tuzilgan ketma-ketlik yuqoridan chegaralangan bo`lishi kerak
   
3. 
   
   
4. 
   ketma-ketlik kamayuvchi bo`lishi kerak
   

21. 
    darajali qatorni yaqinlashish radiusini topish formulasini ko’rsating.
    

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

26. funksiyaning ekstremumini toping.
A. B. ekstremum yo’q
C. va
D.
27. Taqribiy hisoblashni bajaring: ln0,87
A. -0,13 B. -0,87 C. 0 D. 0,13
28. funksiyaning kritik nuqtalarini toping

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

29. Integralni hisoblang: .

1. 
   π/6
   
2. 
   1/6
   
3. 
   π
   
4. 
   1
   

30. Integralni hisoblang: .

1. 
   1/3
   
2. 
   ½
   
3. 
   1/6
   
4. 
   1
   

31. funksiyaning aniqlanish sohasini toping
A. _{[ )}
B.
_C.
D.
32_. funksiyaning x bo’yicha hususiy hosilasini toping.
A.
B.
C.
_D.
33. va chiziqlar bilan chegaralangan yuzani hisoblang.
A. 18
B. 27
C. 9
_D. 36
34. ni toping.

1. 
   5
   
2. 
   4
   
3. 
   2
   
4. 
   3
   

35.x²(x+y)²-(x-y)=0 funksiyani M₀(1;0) nuqtadagi hosilasini toping.

1. 
   2/3
   
2. 
   0,5
   
3. 
   -1
   
4. 
   0,4
   

36. x²-y²=4 bo’lsa, hosilasini toping.

1. 
   2x/y
   
2. 
   x/y
   
3. 
   -x/y
   
4. 
   -2/y
   

37. ni toping.

1. 
   C-cos(1+2x) 
   
2. 
   C-sin(1-2x)
   
3. 
   C-cos(1-2x)
   
4. 
   C-sin(1+2x) 
   

38. ni toping.

1. 
   ln|3 - 2e^x|+C 
   
2. 
   ln| 3+2e^x|+C 
   
3. 
   -ln|3+2e^x|+C 
   
4. 
   ln|-3+2e^x|+C
   

39. u=ln(x²-y²) bo’lsa, ni toping.

1. 
   2xln(x²-y²)
   
2. 
   2y/ln(x²-y²)
   
3. 
   2x/(x²-y²)
   
4. 
   2yln(x²-y²)
   

40. ni oping.
A. 31/80 B. 3/8 C. 31/81 D. 4/5
41. Quyidagi funksiyaning aniqlanish sohasini toping:

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

42. funksiyaning birinchi tartibli hosilasini toping.

1. 
   
   
2. 
   
   
3. 
   
   
4. 
   
   

43. Qaysi formula noto’g’ri:

1. 
    
   
2. 
    
   
3. 
    
   
4. 
    
   

44. Quyidagi ifodani taqribiy hisoblang:

1. 
   1,01 B. 1,02 C. 0,02 D. 1,04
   

45. ni toping.

1. 
    arcsinx-(1-^х2^)0,5+C 
   
2. 
    xarcsinx+(1-^х2^)0,5+C 
   
3. 
   xarcsinx-(1-х²)^0,5+C
   
4. 
    arcsinx+(1-^х2^)0,5+C 
   

46. ni toping.

1. 
   C–ln|-2х²+2х+ х³| 
   
2. 
    C–ln|2^х2+2х+ ^х3|
   
3. 
    C+ln|-2^х2+2х+ ^х3|
   
4. 
    C+ln|2^х2+2х+ ^х3|
   

47. ni toping.

1. 
    C+(8x-sin4x)/32
   
2. 
   C+(4x-sin4x)/32
   
3. 
    C+(12x-sin4x)/32
   
4. 
    C+(16x-sin4x)/32
   

48. у²=4х³ va у=2х² egri chiziqlar bilan chegaralangan figurani yuzini toping.

1. 
   9/17
   
2. 
   2/17
   
3. 
   7/15
   
4. 
   2/15
   

49. qator yig’indisini toping.

1. 
   2/3
   
2. 
   3/4
   
3. 
   1/3
   
4. 
   3/2
   

50. Yaqinlashuvchi va uzoqlashuvchi qatorlar yig’indisi … qator bo’ladi.
A. uzoqlashuvchi
B. absolyut yaqinlashuvchi
C. shartli yaqinlashuvchi
D. yaqinlashuvchi