11-sinf Matematika 4-chorak

OMAD YOR BO'LSIN!

Testni Salomov Sardor tayyorladi.

1 / 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

2 / 25

$log_{2}^{4}x-log_{0.5}^{2}\frac{x_{3}}{8}+9log_{2}\frac{32}{x^{2}}<4log_{0.5}^{2}x$

tengsizlikning yechimi bo’lgan eng kichik natural sonni toping

A) 3

B) 5

C) 4

D) 1

3 / 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) 71

B) 41

C) 51

D) 61

4 / 25

Moddiy nuqta $s(t)=-\frac{t^4}{4}+5t^3$ qonuniyat bilan harakatlanmoqda, eng katta tezlanishga erishiladigan vaqtni toping.

A) 7

B) 4

C) 6

D) 5

5 / 25

f(x)=sin2x funksiyasining barcha boshlang’ich funksiyalarini toping.

A) F(x)=-0,5cos2x+C

B) F(x)=2sin4x+c

C) F(x)=-2cos2x+C

D) F(x)=0,5cos2x+C

6 / 25

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

A) 0,0282

B) 0,3265

C) 0,623

D) 0,0321

7 / 25

Limitni hisoblang: $lim_h\rightarrow_0\frac{3h^2-4h}{h}$

A) -3

B) -4

C) 3

D) 4

8 / 25

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

A) √24

B) √66

C) √55

D) √19

9 / 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) 52°

C) 15°

D) 90°

10 / 25

tgx funksiya hosilasini toping

A) sinx

B) cosx

C) 1/cos²x

D) 1/sinx

11 / 25

Murakkab funksiyaning hosilasini toping. y=x²sinx

A) y’=x²cosx-2xsinx

B) y’=2xsinx+x²cosx

C) y’=2xsinx-x²

D) y’=-2xsinx+x²

12 / 25

Funksiyaning kamayish oraliqlarini toping $f(x)=x+\frac{1}{x}$

A) (-2;0) va (0;1)

B) (-1;0) va (0;1)

C) (-1;0) va (0;2)

D) (-3;0) va (0;1)

13 / 25

A) 18

B) 14

C) 13

D) 20

14 / 25

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

A) x=3, x=2

B) x=-1, x=2

C) x=-1, x=3

D) x=0, x=2

15 / 25

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

A) 75

B) 90

C) 80

D) 70

16 / 25

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

A) 12x+12

B) 21x²-10x

C) 14x+12

D) 12x²-12

17 / 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;+∞)

18 / 25

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

A) 1

B) 4

C) 3

D) 2

19 / 25

Uchlari A(4;0;1), B(5;-2;1), C(4;8;5) nuqtalarda bo’lgan uchburchakning AL bissektrisasi uzunligini toping

A) 4

B) (4√2)3

C) (2√5)/3

D) (4√2)/5

20 / 25

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

A) √26

B) 16

C) √24

D) 25

21 / 25

Moddiy nuqta S(t)=5t³+3t²+2t+4 qonuniyat bilan harakatlanayotgan jismning t=2 sekunddagi tezligini toping.

A) 74

B) 70

C) 60

D) 84

22 / 25

2cosx+sinx=-2 tenglamaning [-π;π] kesmada nechta ildizi bor

A) Ø

B) 2

C) 1

D) 3

23 / 25

Massasi 735 gr va konsentratsiyasi 16% bo’lgan yodning spirtdagi eritmasiga qancha toza spirt qo’shilsa, uning konsentratsiyasi 10% bo’ladi

A) 441

B) 256

C) 420

D) 252

24 / 25

y=x²-│2x-4│ funksiya grafigiga x=3 va

x= -3 nuqtalarda o’tkazilgan urinmalar kesishish nuqtasi ordinatasini toping

A) -6

B) -9

C) -12

D) -5

25 / 25

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

A) 1

B) 3

C) 5

D) 0

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