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11-sinf Matematika 4-chorak

InfoMaster

Aprel 20, 2021

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11-sinf Matematika 4-chorak

Testni Salomov Sardor tayyorladi.

1 / 25

Murakkab funksiyaning hosilasini toping. y=x²sinx

A) y’=x²cosx-2xsinx

B) y’=2xsinx+x²cosx

C) y’=-2xsinx+x²

D) y’=2xsinx-x²

2 / 25

Karim uyida 14 bet matn terib, 8ta imloviy xatoga yo’l qo’ydi. Agar 1 betda o’rtacha 380 ta so’z bo’lsa, Karim 100ta so’z terganda o’rtacha qancha xato qiladi?

A) 0,15

B) 0,25

C) 0,5

D) 1,5

3 / 25

Uchlari A(2;-3;4) va B(-2;4;5) nuqtalarda bo’lgan AB kesmasining uzunligini toping

A) √66

B) √24

C) √55

D) √19

4 / 25

$f(x)=x^2-3x+4$ funksiya uchun y=2x-1 to`g`ri chiziqqa parallel bo`lgan urinma tenglamasini yozing

A) y=2x

B) y=3x-2,2

C) y=2x+3

D) y=2x-2,25

5 / 25

$\lim_{x\rightarrow -1}(5-2x)$ limitni hisoblang

A) 6

B) 0

C) 7

D) 5

6 / 25

Nargiza 4minutda 260ta so`zni terib, 7ta imloviy xatoga yo`l qo`ydi. Nargizaning matn terish sifatini aniqlang

A) 0,01

B) 0,6

C) 0,5

D) 0,0269

7 / 25

Limitni hisoblang:

A) 4

B) -3

C) 3

D) -4

8 / 25

y=-3x³+2x²-4x+5 funksiyaga x₀=-1 nuqtada o’tkazilgan urinma tenglamasining burchak koeffitsiyentini toping.

A) -17

B) 17

C) -13

D) 15

9 / 25

Ushbu funksiyasining boshlang’ich funksiyasini toping

A) (x+2)(x+1)

B) lnIx-1I

C) ln⁡(|x+2|*|x+1|)

D) lnI(x-2)(x-3)I

10 / 25

y>0 bo’lsin. To’g’riburchakning uchlari to’g’ri burchakli koordinatalar sistemasida qyuidagicha berilgan:
A(0;0), B(0;y), C(-9;y) va D(-11;0). To’rtburchak diagonallarining o’tralari orasidagi masofani toping

A) 2

B) √22

C) √2

D) 1

11 / 25

Uchburchakli muntazam prizma asosining radiusi $\sqrt{3}$ ga va balandligi 2 ga teng bo’lgan silindrga ichki chizilgan. Prizma yon sirtining yuzini toping

A) 4

B) 36

C) 3

D) 335

12 / 25

chiziqlar bilan chegaralangan shaklning yuzini toping

A) 2

B) √2

C) 1

D) 0,5

13 / 25

sin3x+ $\sqrt{3}$ cos3x≥0 tengsizligini yeching

A) [-π/9+2πn/3; 2π/9+2πn/3]

B) (-π/2+n π;- π/2+n π)

C) ø

D) [-π/9+n π/3;2 π/9+n π/3]

14 / 25

Trapetsiyaning kichik asosi 6 ga va yon tomoni 5 va 7 ga teng. Uning kata asosi ham butun son bo’lsa, perimetri eng ko’pi bilan nechaga teng bo’lishi mumkin

A) 4

B) 1

C) 3√2

D) 3

15 / 25

cos15⁰*cos45⁰ *cos75⁰ ni hisoblang

A) √2/2

B) √2

C) 2√2

D) √8/2

16 / 25

x=1, y=2^x va y=2^-x chiziqlari bilan chegaralangan sohaning yuzini toping

A) log₄e

B) ln4

C) log₃e

D) ln3

17 / 25

Tekislikdagi 1 m masofada yotgan nuqtadan ikkita teng og’ma o’tkazilgan. Agar og’malar perpendikulyar va tekislikka o’tkazilgan perpendikulyar bilan 60⁰ ga teng burchaklar tashkil etsa, og’malarning asoslari orasidagi masofani toping

A) 1

B) 4√2

C) 2√2

D) 2√3

18 / 25

Agar f(x)=6+5tg²2x bo’lsa, f^'(π) ni toping

A) 5

B) 0

C) 1

D) 3

19 / 25

Voleybol jamoasi 9 ta o’yinchidan iborat. Boshlang’ich tarkibga 6 ta o’yinchini nechta usul bilan tanlab olish mumkin

A) 21

B) 84

C) 42

D) 168

20 / 25

f(x)=e^xcosx funksiyasi uchun f ’(π/2) ni aniqlang.

A. e^-0.5π B. e^0,5π C. e^π D. e^-π

A) e^(-0.5π)

B) e^(-π)

C) e^(0.5π)

D) e^(π)

21 / 25

Tandirdan olingan nonning temperaturasi 20 minut ichida 100⁰ dan 60⁰ gacha pasayadi. Tashqi muhit temperaturasi 25⁰. Nonning temperaturasi qancha vaqtda 30⁰ gacha pasayadi?

A) 51

B) 41

C) 61

D) 71

22 / 25

To’g’ri to’rtburchak shaklidagi yer maydoninig atrofini o’rashmoqchi. 480 m panjara yordamida eng ko’pi bilan necha kvadrat metr yer maydonni o’rash mumkin?

A) 8100

B) 14400

C) 25600

D) 19600

23 / 25

Moddiy nuqta qonuniyat bilan harakatlanmoqda, eng katta tezlanishga erishiladigan vaqtni toping.