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Matematika attestatsiya №4

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Yanvar 21, 2022

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 200

B) 201

C) 203

D) 289

2 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 4

B) 3

C) 1

D) 2

3 / 40

Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 25

B) 22

C) 18

D) 20

4 / 40

Bobur 14 m/s tezlik bilan 5 soat, 36 km/soat tezlik bilan 5 minut yugurgan bo’lsa , Boburning umumiy yurgan yo’li topilsin

A) 456 km

B) 255 km

C) 670 km

D) 13 km

5 / 40

Berilgan sonlarning yig’indisini toping.

A) -452/18

B) 2/4

C) 1/4

D) 3/18

6 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) (-1; ∞)

B) (-2; ∞)

C) (0; ∞)

D) [-1; ∞)

7 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/5

B) 1/3

C) 1/4

D) 4

8 / 40

Tengsizlikni yeching.

A) [-2;1]∪{-3}

B) [-3;2]∪{1}

C) (-∞;-2]

D) [-3;-2]

9 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) 13cosx-cos13x + C

B) -13cosx- cos13 x +C

C) 13sinx+sin13x + C

D) 13sinx-sin13x + C

10 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) √3

B) 2

C) 1

D) √2

11 / 40

Soddalashtiring:

A) 3

B) 2

C) Aniqlab bo`lmaydi

D) 1

12 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 3

B) 4

C) 1

D) 2

13 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 12

B) 11

C) 13

D) 14

14 / 40

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 200 km

B) 2 km

C) 20 km

D) 0,2km

15 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 16

B) 48/5

C) 10

D) 64/5

16 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) qat’iy kamayuvchi

B) qat’iy o‘suvchi

C) dastlab o‘sadi, keyin kamayadi

D) dastlab kamayadi, keyin o‘sadi

17 / 40

Tenglamani yeching:

A) 9/5

B) 5/9

C) 5*4

D) 6/5

18 / 40

Yig‘indini toping.

A) 1/9

B) 1/12

C) 1/4

D) 1/6

19 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 4

B) 1

C) 2

D) 3

20 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) 2,4

B) 2,5

C) √5

D) √6

21 / 40

Hisoblang:

A) 4

B) 0

C) 6

D) 8

22 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 6

B) 4

C) 2

D) 5

23 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 5

B) 1

C) 2

D) 4

24 / 40

Integralni hisoblang:

A) 3

B) 1

C) 2

D) 4

25 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 100

B) 120

C) 80

D) 90

26 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 6

B) 8

C) 10

D) 9

27 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 6

B) 10

C) 8

D) berilganlar yetarli emas

28 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 192π

B) 144π

C) 96π

D) 72π

29 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 36/65

B) 40/63

C) 56/65

D) 48/65

30 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √3/8

C) √2/8

D) √3/4

31 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 8

B) 0

C) 1

D) 5

32 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 9

B) 12

C) 6

D) 3

33 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 15

B) 9

C) 12

D) 7

34 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) (-∞;3]∪[2;∞)

C) [-3;2]

D) (-∞;0)∪(0;∞)

35 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 25

B) 40

C) 20

D) 35

36 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 8√3

B) 6√5

C) 9√5

D) 12√3

37 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 25

B) 0

C) 10

D) 30

38 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.