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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

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;11

B) 8;10

C) 4;10

D) 4;18

2 / 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

3 / 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

4 / 25

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

A) 3,08

B) 5,01

C) 4,08

D) 5,08

5 / 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^(π)

D) e^(-0.5π)

6 / 25

$y=6^{ln(x^{2}+5)}$ funksiyasining kamayish oralig’ini toping

A) (0;+∞)

B) ∅

C) (-√5;√5)

D) (-∞;0]

7 / 25

integralni hisoblang

A) 5ln3e³

B) 5ln2e

C) 5ln4e

D) 5

8 / 25

f(x)=(sinx)^cosx bo’lsa, f '(5π/6) ni toping

A) (ln2+3)/2)*(√2^√2)

B) (ln2+3)/2)*(√2^√3)

C) (ln2+3)/2)*(√3^√3)

D) (ln2-3)/2)*(√2^√3)

9 / 25

y=x²-│2x-4│ funksiya grafigiga x=3 va

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

A) -5

B) -9

C) -12

D) -6

10 / 25

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

A) log₃e

B) log₄e

C) ln3

D) ln4

11 / 25

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

A) 16

B) 9

C) 8

D) 4

12 / 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) 4

B) 1/2

C) 1

D) 335

13 / 25

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

A) 105°

B) 125°

C) 75°

D) 55°

14 / 25

Ushbu funksiyasining boshlang’ich funksiyasini toping

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

B) lnIx-1I

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

D) ln⁡(|x+2|*|x+1|)

15 / 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) 335

C) 36

D) 3

16 / 25

chiziqlar bilan chegaralangan shaklning yuzini toping

A) √2

B) 0,5

C) 2

D) 1

17 / 25

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

A) [-π/9+n π/3;2 π/9+n π/3]

B) [-π/9+2πn/3; 2π/9+2πn/3]

C) ø

D) (-π/2+n π;- π/2+n π)

18 / 25

Limitni hisoblang:

A) 4

B) -3

C) 3

D) -4

19 / 25

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

A) 70

B) 80

C) 75

D) 90

20 / 25

Funksiyaning kamayish oraliqlarini toping

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

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

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

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

21 / 25

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

A) (-∞;-1)

B) [-1;-1/3]

C) (-1/3;+∞)

D) (-1;1/3)

22 / 25

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

A) 17

B) 16

C) 18

D) 14

23 / 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) 1,5

B) 0,25

C) 0,5

D) 0,15

24 / 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

25 / 25

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