11-sinf Matematika 2-chorak

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Testni Mamadoliyev Diyorbek tayyorladi.

1 / 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) 71

D) 61

2 / 25

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

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

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

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

D) F(x)=2sin4x+c

3 / 25

F(x)=0.2sin(5x+12) funksiyasi uchun f(x) ni toping

A) f(x)=-cos(5x+12)

B) f(x)=-0,5sin(5x+12)

C) f(x)=0.5cos(5x+12)

D) f(x)=cos(5x+12)

4 / 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) 25600

B) 8100

C) 19600

D) 14400

5 / 25

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

A) 5,08

B) 3,08

C) 4,08

D) 5,01

6 / 25

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

A) 124 dm²

B) 224 dm²

C) 135 dm²

D) 124 dm

7 / 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^(0.5π)

C) e^(-π)

D) e^(π)

8 / 25

A) 13

B) 20

C) 14

D) 18

9 / 25

$f(x)=x^3-2x^2+3x-2$ funksiya grafigiga x=4 abssissali nuqtada o`tkazilgan urinma tenglamasini tuzing

A) y=20x+20

B) y=35x

C) y=10x

D) y=35x+30

10 / 25

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

A) 74

B) 60

C) 70

D) 84

11 / 25

Uchlari A(2;3;4) va B(-4;-5;-6) nuqtalarda bo’lgan AB kesmasining o’rtasining koordinatalarini toping.

A) (-1;-1;-4)

B) (-2;-4;-1)

C) (-1;-3;-1)

D) (-1;-1;-1)

12 / 25

tgx funksiya hosilasini toping

A) cosx

B) 1/cos²x

C) sinx

D) 1/sinx

13 / 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=0, x=2

D) x=-1, x=2

14 / 25

Funksiya hosilasini toping

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

A) 16x+14

B) 12x

C) 12x+14

D) 3x+1

15 / 25

Agar $f(x)=x^2$ va $g(x)=\frac{x-2}{x+3}$ bo`lsa ,f(g(2)) ni toping

A) 16

B) 0

C) 36

D) 12

16 / 25

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

A) (4√2)/5

B) 4

C) (2√5)/3

D) (4√2)3

17 / 25

f(x)=3x²-5x+4 va g(x)=4x-5 funksiyalarining urinmalari parallel bo’ladigan nuqtalarini toping.

A) 1.5

B) 0.5

C) 2

D) 0

18 / 25

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

A) 75

B) 70

C) 80

D) 90

19 / 25

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

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

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

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

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

20 / 25

$f(x)=x^4-8x^2+3$ funksiyaning [-4;1] kesmadagi eng kata qiymatini toping.

A) 13

B) -4

C) 131

D) -13

21 / 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) 52°

B) 80°

C) 15°

D) 90°

22 / 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=2x-2,25

C) y=2x+3

D) y=3x-2,2

23 / 25

Murakkab funksiyaning hosilasini toping. y=x²sinx

A) y’=2xsinx+x²cosx

B) y’=2xsinx-x²

C) y’=-2xsinx+x²

D) y’=x²cosx-2xsinx

24 / 25

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

A) 14x+12

B) 21x²-10x

C) 12x²-12

D) 12x+12

25 / 25

$f(x)=\frac{5x+1}{13x-5}$ funksiya hosilasining x₀=-2 nuqtadagi qiymatini hisoblang.

A) 38/961

B) -38/31

C) -38/961

D) 38/31

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