bmba matematika 2025 dtm

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001 bmba matematika 1. x2−7x+12 |x2−4x+3| ≤ 0 tengsizlik nechta butun yechimga ega? a) 1 b) 3 c) 2 d) 4 2. asosi kvadratdan iborat parellelopiped hajmi 0, 125m3 ga teng. bu parallelepipedning yon yoqlari va asoslarini har xil qilib bo’yashmoqchi. agar asoslari yoqlari 1m2 uchun 80 ming so’m, yon yoqlari 1m2 uchun 10 ming so’mlik bo’yoq ishlatmoqchi bo’lsa, eng kamida necha ming so’m xarajat ketadi? a) 50 b) 29 c) 40 d) 30 3. x2−3x+10 |x2−12x+32| ≤ 0 qanotlantiradigan yechimlari yig’indisini toping. a) 15 b) 9 c) 8 d) 12 4. teglamaning ( −π 2 ; 3π 2 ) oraliqdagi ildizlari nechta? sin4 x+ 2 sin2 2x = 9 cos4 x a) 4 ta b) 2 ta c) 8 ta d) 6 ta 5. −→a (3; k; 6) va −→ b (4; 6; 9) perpendikulyar bo’lsa, k ni toping a) -10 b) -13 c) -11 d) -12 6. devorning …

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ha km masofa bosib o’tgan? a) -1 b) 4 c) 1337400 d) 133740 16. hisoblang: 5 6 : 15 24 + 1 2 : 1 4 a) 7 2 b) 11 3 c) 10 3 d) 8 3 17. uchburchakning bitta tomoni 15 ga, qolgan ikkita tomoni 8:7 nisbatda uchburchakning perimetri 45 ga teng bo’lsa,katta tomonini toping. a) 15 b) 16 c) 14 d) 17 18. ∫ x2+5 x2−1dx aniqmas integralni toping. a) x+ 3 ln |x−1 x+1 |+ c b) x+ 3 ln |x−3 x+1 |+ c c) x+ 3 ln |x+1 x−3 |+ c d) x− 3 ln |x−1 x+3 |+ c 19. muntazam to’rtburchakli kesik piramidaning kichik asosi yuzi 4 ga, katta asosi yuzi esa 144 ga teng va bu piramidaga shar ichki chizilgan bo’lsa, piramida hajmini toping. a) 2752 b) 2304 c) 1728 d) 3456 20. aniq integralni hisoblang: ∫ 6 5 dx x2−7x+12 a) ln …

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matematika 1. qaysi songa 7 ni qo’shib yig’indini 7 ga bo’lib, natijadan 7 ga ayirib, unga 7 ko’paytirilsa 7 chiqadi? a) 81 b) 30 c) 49 d) 50 2. qaysi songa 6 ni qo’shib yig’indini 6 ga bo’lib, natijadan 6 ga ayirib, unga 6 ko’paytirilsa 6 chiqadi? a) 72 b) 36 c) 30 d) 42 3. tenglama nechta haqiqiy yechimga ega? √ x+ 5 = x2 − 5 a) 0 b) 3 c) 2 d) 4 4. −→a (3; k; 6) va −→ b (4; 6; 9) perpendikulyar bo’lsa, k ni toping a) -12 b) -11 c) -13 d) -10 5. arifmetik progressiyaning dastlabki to’rtta hadi yig’indisi 16 ga, dastlabki 8 ta hadi yig’indisi 44 ga teng bo’lsa, arifmetik progressiyaning ayirmasini toping. a) 3 4 b) 1 4 c) 1 2 d) 1 6. ∫ e3 e lnx x dx aniq integralni hisoblang. a) 4 b) 2 c) 3 d) …

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yeching:log 1 3 log8 x2−1 x−2 > 0 a) (1;2) b) (2;3) c) (;1) d) (1;3) 20. 9 ta turli xil metall sharlar bor, ularning radiuslari mos ravishda 1, 2, 3, . . . , 9 ga teng. ushbu sharlarni eritib bitta katta shar yasaldi. hosil bo’lgan katta sharning radiusini toping. a) 12.63 b) 9 c) 14 d) 10.24 21. aniqmas integralni toping: ∫ lnlnx x dx a) ln (lnx) lnx b) lnx ln (lnx) c) lnx+ ln (lnx) d) lnx • ln (lnx)− lnx 22. tenglamaning [ −π 2 ; π 2 ] oralig’idagi yechimlar sonini toping: sin3x + sin3 x = 3 √ 3 4 sin2x. a) 6ta b) 3ta c) 4ta d) 5ta 23. p, q va p2 arifmetik progressiyaning dastlabki 3 ta hadi va p, p2 va q geometrik progressianing dastlabki 3 ta hadi bo’lsa. arifmetik progressiyaning dastlabki 9 ta hadi yig’indisini toping. a) 4,5 b) …

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’lsa, o1o2 kesma uzunligini toping. a) 18 b) √ 273 c) √ 193 d) √ 322 3. x2−11x+28 |x2−4x−3| ≤ 0 qanotlantiradigan butun yechimlari yig’indisini toping. a) 12 b) 15 c) 16 d) 22 4. −→a (3; k; 6) va −→ b (4; 6; 9) perpendikulyar bo’lsa, k ni toping a) -12 b) -13 c) -10 d) -11 5. x > 1 da √ 3 √ (1− x)3 − x+ x2 ifodaning qiymatini toping. a) √ x2 + 1 b) 1− x c) x+ 1 d) x− 1 6. ∫ e3 e lnx x dx aniq integralni hisoblang. a) 1 b) 2 c) 3 d) 4 7. aylana uzunligi 8π ga teng bo’lsa, aylana radiusini toping. a) 4 b) 2 c) 8 d) 1 8. aniq emas integralni hisoblang: ∫ dx x·lnx a) ln|lnx|+ c b) 1 lnx + c c) ln|xlnx|+ c d) 1 xlnx + c 9. agar …

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001 bmba matematika 1. x2−7x+12 |x2−4x+3| ≤ 0 tengsizlik nechta butun yechimga ega? a) 1 b) 3 c) 2 d) 4 2. asosi kvadratdan iborat parellelopiped hajmi 0, 125m3 ga teng. bu parallelepipedning yon yoqlari va asoslarini har xil qilib bo’yashmoqchi. agar asoslari yoqlari 1m2 uchun 80 ming so’m, yon yoqlari 1m2 uchun 10 ming so’mlik bo’yoq ishlatmoqchi bo’lsa, eng kamida necha ming so’m xarajat ketadi? a) 50 b) 29 c) 40 d) 30 3. x2−3x+10 |x2−12x+32| ≤ 0 qanotlantiradigan yechimlari yig’indisini toping. a) 15 b) 9 c) 8 d) 12 4. teglamaning ( −π 2 ; 3π 2 ) oraliqdagi ildizlari nechta? sin4 x+ 2 sin2 2x = 9 cos4 x a) 4 ta b) 2 ta c) 8 …

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