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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

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)

2 / 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) 61

C) 41

D) 51

3 / 25

Qavariq ko’pburchakning har bir uchidan uchtadan qirra chiqadi. Agar bu ko’pyoqning qirralari soni 12 ta bo’lsa, uning nechta uchi va yog’i mavjud?

A) 4;10

B) 4;11

C) 8;10

D) 4;18

4 / 25

f(x)=(3x+2)² funksiyasining barcha boshlang’ich funksiyalarini toping.

A) F(x)=6x³+6x²+4

B) F(x)=6x³+6x+4

C) F(x)=6x³+3x²+4

D) F(x)=6x³+3x²-4

5 / 25

f(x)=2x+3 funksiyasi uchun A(1;5) nuqtadan o’tuvchi boshlang’ich funksiyasini toping.

A) F(x)=x²+3x-1

B) F(x)=x²+3x+1

C) F(x)=x²-3x-1

D) F(x)=x²-3x+1

6 / 25

$f(x)=x^3-2x^2$ funksiya grafigiga x=1 abssisssali nuqtadao`tkazilgan urinma tenglamasini yozing

A) y=1/2

B) y= 2x

C) y=-x

D) y=x

7 / 25

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

A) -13

B) -17

C) 17

D) 15

8 / 25

Limitni hisoblang:

A) -3

B) -4

C) 3

D) 4

9 / 25

A(-4;3;6) nuqtaning Oxz tekisligiga nisbatan simmrtrik nuqtasini toping.

A) (-4;-3;9)

B) (-4;-6;6)

C) (-4;-3;6)

D) (-8;-3;6)

10 / 25

funksiyaning [-4;2] oraliqdagi eng katta qiymatini toping $f(x)=x^3+4.5x^2-9$

A) 18

B) 16

C) 14

D) 17

11 / 25

Funksiyaning kamayish oraliqlarini toping

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

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

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

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

12 / 25

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

A) -13

B) 13

C) 131

D) -4

13 / 25

y=x²-│2x-4│ funksiya grafigiga x=3 va

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

A) -9

B) -5

C) -12

D) -6

14 / 25

Hisoblang:

cos²33⁰+cos²45⁰-sin²60⁰+cos²57⁰

A) 0,75

B) 2,25

C) 0,5

D) 1,5

15 / 25

Bir burchagi 60⁰ bo’lgan to’g’ri burchakli uchburchakka tomoni 6 ga teng romb shunday ichki chizilganki, 60⁰ li burchak ular uchun umumiy, rombning barcha uchlari uchburchakning tomonlarida yotadi. Uchburchak yuzini toping

A) (8√3)/2

B) √3/2

C) (81√3)/2

D) (1√3)/2

16 / 25

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

A) 3

B) 1

C) Ø

D) 2

17 / 25

Tomoni 4 ga teng bo’lgan teng tomonli uchburchak ichiga uchburchakning tomonlariga urinuvchi uchta teng doira joylashtirilgan. O’zaro urunuvchi doiralar yoylaridan hosil bo’lgan egri chiziqli uchburchakning yuzini toping

A) (2-√3)(2√3-π)

B) (4-√3)(2√3-π)

C) 2√3-π

D) (2-√3)(2-π)

18 / 25

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

A) 8

B) 16

C) 9

D) 4

19 / 25

cos(2arctg(1/2)) ni hisoblang

A) 37/35

B) -37/35

C) -35/37

D) 35/37

20 / 25

Ixtiyoriy kvadratga tashqi va ichki chizilgan aylanalar yuzlari nisbati a ga teng. Ixtiyoriy aylanaga ichki va tashqi chizilgan kvadratlar yuzlari nisbati b ga teng bolsa, a/b ni toping

A) 1

B) 4

C) 335

D) 1/2

21 / 25

cos15⁰*cos45⁰ *cos75⁰ ni hisoblang

A) 2√2

B) √2

C) √2/2

D) √8/2

22 / 25

aniq integralni hisoblang

A) 2

B) 6

C) 4

D) 2,5

23 / 25

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

A) 75°

B) 125°

C) 55°

D) 105°

24 / 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) 1

C) √22

D) 2

25 / 25

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