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11-sinf Matematika 4-chorak

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Aprel 20, 2021

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11-sinf Matematika 4-chorak

Testni Salomov Sardor tayyorladi.

1 / 25

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

A) log₄e

B) log₃e

C) ln4

D) ln3

2 / 25

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

A) 0

B) 5

C) 1

D) 3

3 / 25

Hisoblang:

cos²33⁰+cos²45⁰-sin²60⁰+cos²57⁰

A) 0,5

B) 0,75

C) 2,25

D) 1,5

4 / 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) √3/2

B) (81√3)/2

C) (1√3)/2

D) (8√3)/2

5 / 25

B,C,D,E nuqtalar aylanadagi, A esa aylanadan tashqaridagi nuqtalar. D nuqta AE kesmada, B esa AC kesmada yotadi. Agar AE=12 va AC=16 bo’lsa, BE vatar uzunligining CD vatar uzunligiga nisbatini toping

A) 3/4

B) 4

C) 1

D) 3

6 / 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)

7 / 25

integralni hisoblang

A) 5ln4e

B) 5ln2e

C) 5

D) 5ln3e³

8 / 25

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

A) 420

B) 256

C) 252

D) 441

9 / 25

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

A) x=0, x=2

B) x=-1, x=2

C) x=-1, x=3

D) x=3, x=2

10 / 25

Funksiya hosilasini toping

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

A) 3x+1

B) 16x+14

C) 12x+14

D) 12x

11 / 25

Funksiya hosilasini toping: f(x)=5

A) 10

B) 5

C) 0

D) x

12 / 25

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

A) 84

B) 60

C) 70

D) 74

13 / 25

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

A) 80

B) 90

C) 75

D) 70

14 / 25

$f(x)=x^2-3x+4$ funksiya uchun y=2x-1 to`g`ri chiziqqa parallel bo`lgan urinma tenglamasini yozing

A) y=3x-2,2

B) y=2x-2,25

C) y=2x

D) y=2x+3

15 / 25

tgx funksiya hosilasini toping

A) 1/cos²x

B) cosx

C) 1/sinx

D) sinx

16 / 25

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

A) 17

B) 14

C) 16

D) 18

17 / 25

A) 18

B) 14

C) 20

D) 13

18 / 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) 17,68 dm²; 4,2 dm

C) 17,64 dm; 4,2 dm

D) 17,64 dm²; 4,9 dm

19 / 25

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

A) 5,01

B) 5,08

C) 3,08

D) 4,08

20 / 25

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

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

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

C) F(x)=2sin4x+c

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

21 / 25

Moddiy nuqta qonuniyat bilan harakatlanmoqda, eng katta tezlanishga erishiladigan vaqtni toping.

A) 7

B) 6

C) 5

D) 4

22 / 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) 19600

C) 8100

D) 14400

23 / 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) 2

D) √22

24 / 25

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

A) 23

B) -24

C) 24

D) -23

25 / 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) 1/2

B) 4

C) 1

D) 335