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11-sinf Matematika 3-chorak

InfoMaster

Aprel 20, 2021

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11-sinf Matematika 3-chorak

Testni Salomov Sardor tayyorladi.

1 / 25

Uchlari soni 14 ta, qirralari soni esa 21 ta bo’lgan ko’pyoqning yoqlari sonini toping.

A) 8

B) 16

C) 4

D) 9

2 / 25

(x²+23x+23)(x²+x+23)=23x² tenglama haqiyqiy ildizlari yig’indisini toping

A) 24

B) 23

C) -23

D) -24

3 / 25

aniq integralni hisoblang

A) 6

B) 2,5

C) 2

D) 4

4 / 25

Silindr shaklidagi idishga 6 sm³ suv solindi. Idishga detal to’liq cho’ktirilganda, suv sathi 1,5 marta ko’tarildi. Detal hajmini aniqlang

A) 1

B) 3

C) 14

D) 23

5 / 25

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

A) [-π/9+n π/3;2 π/9+n π/3]

B) (-π/2+n π;- π/2+n π)

C) ø

D) [-π/9+2πn/3; 2π/9+2πn/3]

6 / 25

Aylanaga o’tkazilgan vatar uni 5:7 nisbatda bo’ladi. Ushbu vatarga tiralgan, aylanaga ichki chizilgan katta burchakni toping

A) 55°

B) 75°

C) 105°

D) 125°

7 / 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) 3

B) 4

C) 335

D) 36

8 / 25

Funksiyaning statsionar nuqtalarini toping $f(x)=2x^3-3x^2-12x+3$

A) x=-1, x=3

B) x=3, x=2

C) x=-1, x=2

D) x=0, x=2

9 / 25

Moddiy nuqtaning berilgan t vaqtdagi tezligini hisoblang: $s(t)=t^3-2t^2+t$ , t=5

A) 70

B) 80

C) 90

D) 75

10 / 25

Funksiya hosilasini toping

f(x)=(2x+4)(3x+1)

A) 16x+14

B) 12x

C) 3x+1

D) 12x+14

11 / 25

Koordinatalar boshidan y=x²-4x+3 parabolaning simmetriya o’qigacha bo’lgan masofani toping.

A) 4

B) 3

C) 1

D) 2

12 / 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) 0,5

C) 0,25

D) 1,5

13 / 25

A(2;0;-3) va B(3;4;0) nuqtalar orasidagi masofani toping

A) 16

B) √26

C) 25

D) √24

14 / 25

Murakkab funksiyaning hosilasini toping. y=x²sinx

A) y’=-2xsinx+x²

B) y’=2xsinx-x²

C) y’=x²cosx-2xsinx

D) y’=2xsinx+x²cosx

15 / 25

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

A) 0,6

B) 0,5

C) 0,01

D) 0,0269

16 / 25

$f(x)=x^3+2x^2+x+3$ funksiyasining kamayish oralig’ini toping.

A) (-∞;-1)

B) (-1;1/3)

C) [-1;-1/3]

D) (-1/3;+∞)

17 / 25

Funksiya hosilasini toping: $f(x)=7x^3-5x^2+4$

A) 14x+12

B) 12x²-12

C) 12x+12

D) 21x²-10x

18 / 25

Agar A(1;2;3), B(3;7;6) bo’lsa, A̅B̅ vector koordinatalarini toping

A) (2;5;3)

B) (4;9;9)

C) (4;9;9)

D) (-2;-5;-3)

19 / 25

A(1;-2;2), B(1;4;0), C(-4;1;1) va D(-5;-5;3) nuqtalar berilgan. AC va BD vektorlar orasidagi burchakni toping

A) 80°

B) 90°

C) 15°

D) 52°

20 / 25

Karim 3 minutda 213ta so`zni terib , 6ta imloviy xatoga yo`l qo`ydi. Karimning matn terish sifatini toping.

A) 0,3265

B) 0,623

C) 0,0282

D) 0,0321

21 / 25

$\sqrt[3]{131}$ sonini taqriban hisoblang.

A) 5,01

B) 5,08

C) 3,08

D) 4,08

22 / 25

To’g’riburchakli parallelepiped asosining tomonlari 7:24 nisbatda, diagonal kesimining yuzi 50dm² ga teng. Yon sirtining yuzini toping.

A) 135 dm²

B) 224 dm²

C) 124 dm²

D) 124 dm

23 / 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^(-π)

B) e^(-0.5π)

C) e^(0.5π)

D) e^(π)

24 / 25

Kub to’la sirtining yuzi 105,84 sm² bo’lsa, uning har bir yog’i yuzini va qirrasining uzunligini toping.

A) 17,64 dm²; 4,2 dm

B) 17,64 dm²; 4,9 dm

C) 17,68 dm²; 4,2 dm

D) 17,64 dm; 4,2 dm

25 / 25

Havo shariga t $\in$ [0;10] minut oralig’ida V(t)=t³+13t²+t+20 (m³) havo purkamoqda. t=10 minutdagi havo hajmini toping.

A) 2025

B) 2330

C) 2300

D) 1023

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