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Test _Amaliy matematika 2

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#1
Funksiya hosilasini toping: 𝑓(𝑥) = 4𝑒2.
  1. 8
  2. 0
  3. 4e
  4. 8x
Javobni ko'rish
0
#2
Agar f(x) = 8 bo’lsa, quyidagini toping: f′(x) =?
  1. 2
  2. 8
  3. 1
  4. 0
Javobni ko'rish
0
#3
Funksiya hosilasini toping: 𝑓(𝑥) = 4𝑥2 −2
  1. 0
  2. 8x
  3. 4x−2
  4. 8
Javobni ko'rish
8x
#4
Agar 𝑓(𝑥) = 4𝑥3 −2𝑥+ 1 bo’lsa, quyidagini toping: f′(1) =?
  1. 14
  2. 10
  3. 12x−2
  4. 3
Javobni ko'rish
10
#5
Agar 𝑓(𝑥) = 𝑥3 + 2𝑥 bo’lsa, quyidagini toping: f′(1) =?
  1. 0
  2. 3𝑥2 + 2𝑥
  3. 5
  4. 3
Javobni ko'rish
5
#6
Agar f(x) = sin x+ 4 bo’lsa, quyidagini toping: f′(x) =?
  1. 4
  2. cosx
  3. 0
  4. sinx
Javobni ko'rish
cosx
#7
Agar f(x) = sin x−cosx bo’lsa, quyidagini toping: f′(x) =?
  1. 2 sinx
  2. cosx+ sin x
  3. 2 cosx
  4. 0
Javobni ko'rish
cosx+ sin x
#8
Agar f(x) = 4·cosx bo’lsa, quyidagini toping: f′(π/4) =?
  1. 0
  2. 1
  3. −2√2
  4. −4 sinx
Javobni ko'rish
−2√2
#9
Agar f(x) =−sinx+ 7 bo’lsa, quyidagini toping: f′(π/3) =?
  1. 0
  2. −√3/2
  3. √2/2
  4. −1/2
Javobni ko'rish
−1/2
#10
Agar f(x) = cos x−2x bo’lsa, quyidagini toping: f′(π/6) =?
  1. 0
  2. √3/2−π/3
  3. −5/2
  4. √3/2
Javobni ko'rish
−5/2
#11
Funksiya hosilasini toping: f(x) = 5x.
  1. 5𝑥𝑙𝑛5
  2. 1
  3. 5𝑥
  4. 5𝑥
Javobni ko'rish
5𝑥𝑙𝑛5
#12
Funksiya hosilasini toping: 𝑓(𝑥) = 𝑒𝑥.
  1. 𝑒𝑥
  2. 1
  3. 𝑒𝑥
  4. 0
Javobni ko'rish
𝑒𝑥
#13
Agar 𝑓(𝑥) = 𝑥3 + 3𝑥 bo’lsa, quyidagini toping: f′(x) =?
  1. 3𝑥
  2. 32 + 3𝑥
  3. 3𝑥2 + 3𝑥𝑙𝑛3
  4. 3𝑥
Javobni ko'rish
3𝑥2 + 3𝑥𝑙𝑛3
#14
Agar 𝑓(𝑥) = 𝑒𝑥+ 3𝑥2 + 7𝑥 bo’lsa, quyidagini toping: f′(0) =?
  1. 𝑒𝑥+ 6𝑥+ 7
  2. 1
  3. 0
  4. 8
Javobni ko'rish
8
#15
Agar 𝑓(𝑥) = 7𝑥 bo’lsa, quyidagini toping: f′(0) =?
  1. 7𝑥𝑙𝑛7
  2. 0
  3. ln7
  4. 7𝑥
Javobni ko'rish
ln7
#16
Agar 𝑓(𝑥) = 3𝑥 bo’lsa, quyidagini toping: f′(1) =?
  1. 1
  2. 3ln3
  3. 0
  4. ln3
Javobni ko'rish
3ln3
#17
Agar 𝑓(𝑥) = 3𝑥2 + sin30𝑜 bo’lsa, quyidagini toping: f′(1) =?
  1. 7
  2. 0
  3. 5
  4. 6
Javobni ko'rish
6
#18
Agar 𝑓(𝑥) = 2𝑥4 + 3𝑥2 bo’lsa, quyidagini toping: f′(x) =?
  1. 8𝑥3 + 6𝑥
  2. 8𝑥3 −6𝑥
  3. 14𝑥
  4. 8𝑥4 + 6𝑥3
Javobni ko'rish
8𝑥3 + 6𝑥
#19
Agar 𝑓(𝑥) = 2𝑥3 + 3𝑥−7 bo’lsa, quyidagini toping: f′(x) =?
  1. 2𝑥2 −4𝑥
  2. 2𝑥+ 4
  3. 6𝑥2 + 3
  4. 6𝑥+ 5
Javobni ko'rish
6𝑥2 + 3
#20
Agar 𝑓(𝑥) = 𝑥−8 bo’lsa, quyidagini toping: f′(x) =?
  1. 𝑓′(𝑥) = −8𝑥
  2. 𝑓′(𝑥) = −8𝑥−7
  3. 𝑓′(𝑥) = 8𝑥7
  4. 𝑓′(𝑥) = −8𝑥−9
Javobni ko'rish
𝑓′(𝑥) = −8𝑥−9
#21
Agar 𝑓(𝑥) = 𝑥−3 + 𝑥−2 bo’lsa, quyidagini toping: f′(x) =?
  1. 𝑓′(𝑥) = −3𝑥−4 −2𝑥−3
  2. 𝑓′(𝑥) = 𝑥−4 −𝑥−3
  3. 𝑓′(𝑥) = −3𝑥−2 + 2𝑥−1
  4. 𝑓′(𝑥) = 𝑥−2 −𝑥−1
Javobni ko'rish
𝑓′(𝑥) = −3𝑥−4 −2𝑥−3
#22
Agar f(x) = 2 sin x·cosx bo’lsa, quyidagini toping: f′(π/2) =?
  1. 2
  2. 0
  3. 1
  4. 1
Javobni ko'rish
2
#23
Agar 𝑓(𝑥) = 2𝑥2 + 1 bo’lsa, quyidagini toping: f′(π/4) =?
  1. π
  2. π/2
  3. 1
  4. 0
Javobni ko'rish
π
#24
Agar (𝑥) = cos (𝑥2) bo’lsa, quyidagini toping: f′(x) =?
  1. sin (𝑥2) ∗(2𝑥)
  2. −sin (𝑥2) ∗(2𝑥)
  3. cos (𝑥2) ∗(2𝑥)
  4. 2 ∗sin (𝑥2)
Javobni ko'rish
−sin (𝑥2) ∗(2𝑥)
#25
Agar 𝑓(𝑥) = 𝑐𝑜𝑠2(5𝑥)bo’lsa, quyidagini toping:f′(x) =?
  1. sin(5x)
  2. −5·sin(10 x)
  3. 5·sin(10 x)
  4. −5·sin(5x)
Javobni ko'rish
−5·sin(10 x)
#26
Agar f(x) = 5 sin x+ 3 cos x bo’lsa, quyidagini toping: f′(π/4) =?
  1. 4√2
  2. −√2
  3. √2
  4. −2√3
Javobni ko'rish
√2
#27
Agar 𝑓(𝑥) = 1 3 𝑥3 −16𝑥 bo’lsa, quyidagini toping: f′(4) =? .
  1. 2
  2. 3
  3. 0
  4. 1
Javobni ko'rish
0
#28
Agar 𝑓(𝑥) = 3𝑥∗2𝑥 bo’lsa, quyidagini toping: f′(0) =?
  1. 3ln 2
  2. 3
  3. 3
  4. 0
Javobni ko'rish
3
#29
Agar 𝑓(𝑥) = 2𝑥∗3𝑥 bo’lsa, quyidagini toping:f′(0) =?
  1. 2
  2. 0
  3. 2
  4. 2ln 3
Javobni ko'rish
2
#30
Funksiya hosilasini toping: 𝑦= 𝑒𝑥∗𝑥2.
  1. 𝑒𝑥(𝑥2 + 𝑥)
  2. 𝑒𝑥(𝑥2 + 2𝑥)
  3. 𝑒𝑥(𝑥2 + 2)
  4. 𝑒𝑥(2𝑥+ 1)
Javobni ko'rish
𝑒𝑥(𝑥2 + 2𝑥)
#31
Funksiya hosilasini toping: 𝑦= 𝑒𝑐𝑡𝑔𝑥.
  1. −
  2. 𝑒𝑐𝑡𝑔𝑥𝑙𝑛𝑥
  3. 𝑒𝑐𝑡𝑔𝑥
  4. 𝑐𝑡𝑔𝑥∗𝑒𝑐𝑡𝑔𝑥−1
Javobni ko'rish
−
#32
Agar f(x) = ln(sin x) bo’lsa, quyidagini toping: f′(π/4) =?
  1. 1
  2. 3
  3. 1
  4. −√3
Javobni ko'rish
1
#33
Funksiya hosilasini toping: y= sin(cos x).
  1. cosx·sin(cos x)
  2. −sinx·cos(cos x)
  3. −cosx·sin(cos x)
  4. sinx·cos(cos x)
Javobni ko'rish
−sinx·cos(cos x)
#34
Ushbu y = 3x² − 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = 3x³ − x + C
  2. F(x) = 3x³ − 2x + C
  3. F(x) = ⅓x³ − x + C
  4. F(x) = x³ − x + C
Javobni ko'rish
F(x) = x³ − x + C
#35
Ushbu y = x − 3 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅓x² − x + C
  2. F(x) = ½x² − 3x + C
  3. F(x) = ⅓x² − 3x + C
  4. F(x) = ⅓x² − 3x + C
Javobni ko'rish
F(x) = ½x² − 3x + C
#36
Ushbu y = x − 2 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ½x² − 2x + C
  2. F(x) = ½x² − x + C
  3. F(x) = ½x² − ½x + C
  4. F(x) = ½x³ − 3x + C
Javobni ko'rish
F(x) = ½x² − 2x + C
#37
Ushbu y = 2x − 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = 2x² − x + C
  2. F(x) = x² − x + C
  3. F(x) = ½x² − x + C
  4. F(x) = ⅓x² − 3x + C
Javobni ko'rish
F(x) = x² − x + C
#38
Ushbu y = x² − 2x funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅓x³ − 2x² + C
  2. F(x) = ⅓x² − ½x² + C
  3. F(x) = ⅓x³ − x² + C
  4. F(x) = ⅓x³ − x + C
Javobni ko'rish
F(x) = ⅓x³ − x² + C
#39
Ushbu y = 2x² − 2x + 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅔x³ − 2x² + 1 + C
  2. F(x) = ⅔x² − 2x + 1 + C
  3. F(x) = ⅔x³ − x² + x + C
  4. F(x) = ⅓x³ − x² + x + C
Javobni ko'rish
F(x) = ⅔x³ − x² + x + C
#40
Ushbu y = 2x − 2 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = 2x² − 3x + C
  2. F(x) = x² − 2x + C
  3. F(x) = ½x² − 2x + C
  4. F(x) = 2x² − 2x + C
Javobni ko'rish
F(x) = x² − 2x + C
#41
Ushbu y = x² − x + 2 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅓x³ − x + C
  2. F(x) = ⅓x³ − 2x² + C
  3. F(x) = ⅓x³ − ½x² + 2x + C
  4. F(x) = ⅓x³ − ½x² + 2x + C
Javobni ko'rish
F(x) = ⅓x³ − ½x² + 2x + C
#42
Ushbu y = 4x³ − 4x funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ¼x² − 4x + C
  2. F(x) = ¼x⁴ − 4x + 4C
  3. F(x) = ½x⁴ − 4x + 4C
  4. F(x) = x⁴ − 2x² + C
Javobni ko'rish
F(x) = x⁴ − 2x² + C
#43
Ushbu y = x² − 4 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅓x³ − 4x + C
  2. F(x) = ¼x⁴ − 4x + C
  3. F(x) = ¼x³ − 4x² − 4C
  4. F(x) = ⅓x³ − 4x + 4 + C
Javobni ko'rish
F(x) = ⅓x³ − 4x + C
#44
Ushbu y = x² − 2x + 3 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅓x³ − ½x² + 3x + 3 + C
  2. F(x) = ½x² − 2x + 3 + C
  3. F(x) = ½x³ − x² + 3 + C
  4. F(x) = ⅓x³ − x² + 3x + C
Javobni ko'rish
F(x) = ⅓x³ − x² + 3x + C
#45
Ushbu y = x² − 4 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅓x³ − 4x + C
  2. F(x) = ⅓x³ − 4x + 4 + C
  3. F(x) = ¼x³ − 4x + C
  4. F(x) = ⅓x³ − 3x + C
Javobni ko'rish
F(x) = ⅓x³ − 4x + C
#46
Ushbu y = 1⁄x − 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ½ ln² x − x + C
  2. F(x) = 2 ln x − x + 1 + C
  3. F(x) = ln x² − x + C
  4. F(x) = ln x − x + C
Javobni ko'rish
F(x) = ln x − x + C
#47
Ushbu y = x² − x + 2 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ½x² − ½x + 2 + C
  2. F(x) = ½x² − ½x + 4 + C
  3. F(x) = ¼x⁴ − ⅓x³ + 2x² + 2x + C
  4. F(x) = ⅓x³ − ½x² + 2x + C
Javobni ko'rish
F(x) = ⅓x³ − ½x² + 2x + C
#48
Ushbu y = ½x² − x + 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅙x³ − ½x² + 2x + 1 + C
  2. F(x) = ⅙x³ − x² + 1 + C
  3. F(x) = ⅙x³ − ½x² + x + C
  4. F(x) = ⅙x² − x + C
Javobni ko'rish
F(x) = ⅙x³ − ½x² + x + C
#49
Ushbu y = 1⁄(x − 1) + x² + 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ln(x − 1) + ⅓x³ + x + C
  2. F(x) = ln(x − 1) + ½x² + x + C
  3. F(x) = ln(x − 1) + ½x⁴ + 2x + C
  4. F(x) = ln(x − 1) + ⅙x³ + x + C
Javobni ko'rish
F(x) = ln(x − 1) + ⅓x³ + x + C
#50
Ushbu y = x − 1⁄x + 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ½x² − ln x + x + C
  2. F(x) = ⅙x³ − 2 ln x + x + C
  3. F(x) = ¼x² − 2 ln x + x + C
  4. F(x) = ⅙x³ − ln x + x + C
Javobni ko'rish
F(x) = ½x² − ln x + x + C
#51
Ushbu y = 3x² + 2x − 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = x³ + x² − x + C
  2. F(x) = ⅓x³ + x² − x + C
  3. F(x) = x³ + 2x² − x + C
  4. F(x) = 3x³ + x² − x + C
Javobni ko'rish
F(x) = x³ + x² − x + C
#52
Ushbu y = 4x − 5 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = x² − 5x + C
  2. F(x) = 4x² − 5x + C
  3. F(x) = 2x² − 10x + C
  4. F(x) = 2x² − 5x + C
Javobni ko'rish
F(x) = 2x² − 5x + C
#53
Ushbu y = x² + 2x funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅓x³ + 3x + C
  2. F(x) = ½x² + 3x + C
  3. F(x) = ⅓x³ + x² + C
  4. F(x) = x³ + 3x² + C
Javobni ko'rish
F(x) = ⅓x³ + x² + C
#54
Ushbu y = 2x³ funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅔x⁴ + C
  2. F(x) = ½x⁴ + C
  3. F(x) = 2x⁴ + C
  4. F(x) = x⁴ + C
Javobni ko'rish
F(x) = ½x⁴ + C
#55
Ushbu y = x² − 3x + 1 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅓x³ − 3x² + x + C
  2. F(x) = ⅓x³ − 3⁄2x² + x + C
  3. F(x) = x³ − 3x² + x + C
  4. F(x) = ½x² − 3x + 1 + C
Javobni ko'rish
F(x) = ⅓x³ − 3⁄2x² + x + C
#56
Ushbu y = 6x² funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = 6x³ + C
  2. F(x) = 3x³ + C
  3. F(x) = 2x³ + C
  4. F(x) = x³ + C
Javobni ko'rish
F(x) = 2x³ + C
#57
Ushbu y = 5 funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = x⁵ + C
  2. F(x) = ½x² + C
  3. F(x) = 5x + C
  4. F(x) = 5 + C
Javobni ko'rish
F(x) = 5x + C
#58
Ushbu y = 7x funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = 7x + C
  2. F(x) = 7x² + C
  3. F(x) = ½x² + C
  4. F(x) = 7⁄2x² + C
Javobni ko'rish
F(x) = 7⁄2x² + C
#59
Ushbu y = x³ − x funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ¼x⁴ − ½x² + C
  2. F(x) = x⁴ − x² + C
  3. F(x) = ½x⁴ − ½x² + C
  4. F(x) = ¼x³ − ½x² + C
Javobni ko'rish
F(x) = ¼x⁴ − ½x² + C
#60
Ushbu y = 2x² − 4x funksiyaning boshlang‘ich funksiyalaridan birini toping.
  1. F(x) = ⅔x² − 2x + C
  2. F(x) = x³ − 4x² + C
  3. F(x) = ⅔x³ − 2x² + C
  4. F(x) = x³ − 2x² + C
Javobni ko'rish
F(x) = ⅔x³ − 2x² + C
#61
Ushbu ∫𝑑𝑥 integralni hisoblang.
  1. 𝑥+ 𝐶
  2. 𝐶
  3. −𝑥+ 𝐶
  4. 𝑥−𝐶
Javobni ko'rish
𝑥+ 𝐶
#62
Ushbu −∫𝑑𝑥 integralni hisoblang.
  1. 𝑥−𝐶
  2. 𝐶
  3. 𝑥+ 𝐶
  4. −𝑥+ 𝐶
Javobni ko'rish
−𝑥+ 𝐶
#63
Ushbu ∫2𝑥𝑑𝑥 integralni hisoblang.
  1. −
  2. 2𝑥
  3. 2𝑥
  4. 2𝑥
Javobni ko'rish
2𝑥
#64
Ushbu ∫ 2𝑑𝑥 integralni hisoblang.
  1. 2𝑥+ 𝐶
  2. 𝑥−𝐶
  3. −𝑥+ 𝐶
  4. 𝐶
Javobni ko'rish
2𝑥+ 𝐶
#65
Ushbu −∫ 2𝑑𝑥 integralni hisoblang.
  1. 𝑥−𝐶
  2. 𝑥+ 𝐶
  3. 𝐶
  4. −2𝑥+ 𝐶
Javobni ko'rish
−2𝑥+ 𝐶
#66
Ushbu ∫ 2𝑥𝑑𝑥 integralni hisoblang.
  1. 2𝑥
  2. −
  3. 2𝑥
  4. 2𝑥
Javobni ko'rish
2𝑥
#67
Ushbu ∫ 𝑒3𝑥+1𝑑𝑥 integralni hisoblang.
  1. 𝑒3𝑥+1
  2. 𝑒3𝑥+1
  3. 𝑒3𝑥+1
  4. 𝑒3𝑥+1
Javobni ko'rish
𝑒3𝑥+1
#68
Ushbu ∫ 2024𝑥2023𝑑𝑥 integralni hisoblang.
  1. 𝑥2024
  2. 𝑥2024 + 𝐶
  3. 𝑥2023
  4. −
Javobni ko'rish
𝑥2024 + 𝐶
#69
Ushbu ∫ 4𝑑𝑥 integralni hisoblang.
  1. x
  2. 𝑥2
  3. 𝑥
  4. 4𝑥+ 𝐶
Javobni ko'rish
4𝑥+ 𝐶
#70
Ushbu ∫ (sin 𝑥+ cos 𝑥)𝑑𝑥 integralni hisoblang.
  1. −sin 𝑥+ cos 𝑥+ 𝐶
  2. sin 𝑥+ cos 𝑥+ 𝐶
  3. −sin 𝑥−cos 𝑥+ 𝐶
  4. sin 𝑥−cos 𝑥+ 𝐶
Javobni ko'rish
−sin 𝑥+ cos 𝑥+ 𝐶
#71
Ushbu ∫ sin2 𝑥𝑑𝑥+ ∫ cos2 𝑥𝑑𝑥 integralni hisoblang.
  1. 𝑥+ 𝐶
  2. sin 𝑥+ cos 𝑥+ 𝐶
  3. sin2 𝑥−cos2 𝑥+ 𝐶
  4. sin2 𝑥+ cos2 𝑥+ 𝐶
Javobni ko'rish
𝑥+ 𝐶
#72
Ushbu ∫ 1−sin2 𝑥 cos 𝑥𝑑𝑥 integralni hisoblang.
  1. sin 𝑥+ cos 𝑥+ 𝐶
  2. sin 𝑥+ B
  3. cos 𝑥+ 𝐶
  4. sin 𝑥−cos 𝑥+ 𝐶
Javobni ko'rish
cos 𝑥+ 𝐶
#73
Ushbu ∫ 1−cos2 𝑥 sin 𝑥 𝑑𝑥 integralni hisoblang.
  1. sin 𝑥+ 𝐶
  2. −cos 𝑥+ 𝐶
  3. cos 𝑥+ 𝐶
  4. −sin 𝑥+ 𝐶
Javobni ko'rish
sin 𝑥+ 𝐶
#74
Ushbu ∫ (1 + 𝑡𝑔2𝑥)cos2 𝑥𝑑𝑥 integralni hisoblang.
  1. −𝑥+ 𝐶
  2. 𝑥+ 𝐶
  3. cos2 𝑥+ 𝐶
  4. tg𝑥+ 𝐶
Javobni ko'rish
𝑥+ 𝐶
#75
Ushbu ∫ (tg𝑥⋅ctg𝑥)𝑑𝑥 integralni hisoblang.
  1. 𝑥+ 𝐶
  2. −𝑥+ 𝐶
  3. tg𝑥+ 𝐶
  4. ctg𝑥+ 𝐶
Javobni ko'rish
𝑥+ 𝐶
#76
Ushbu ∫ ( 5 2 sin 𝑥+ 4) 𝑑𝑥 integralni hisoblang.
  1. −
  2. 5
  3. −
  4. −
Javobni ko'rish
−
#77
Ushbu ∫ (−2sin 𝑥+ 3cos 𝑥)𝑑𝑥 integralni hisoblang.
  1. −2cos 𝑥+ 3sin 𝑥+ 𝐶
  2. 2cos 𝑥+ 3sin 𝑥+ 𝐶
  3. −2cos 𝑥−3sin 𝑥+ 𝐶
  4. 2cos 𝑥−3sin 𝑥+ 𝐶
Javobni ko'rish
2cos 𝑥+ 3sin 𝑥+ 𝐶
#78
Ushbu ∫ (4𝑥+ 4)𝑑𝑥 integralni hisoblang.
  1. 4𝑥
  2. 4𝑥
  3. 4𝑥
  4. 4𝑥
Javobni ko'rish
4𝑥
#79
Ushbu ∫ (𝑒+ 𝑒𝑥)𝑑𝑥 integralni hisoblang.
  1. 𝑒𝑥+ 𝐶
  2. 𝑒𝑥+ 𝑒𝑥+ 𝐶
  3. 𝑒𝑥−𝑒𝑥+ 𝐶
  4. 𝑒𝑥+ 𝐶
Javobni ko'rish
𝑒𝑥+ 𝑒𝑥+ 𝐶
#80
Ushbu ∫ (𝑒𝑥+4 + 1 𝑥) 𝑑𝑥 integralni hisoblang.
  1. 𝑒𝑥+4 + ln 𝑥+ 𝐶
  2. 3𝑥+ 𝑒3𝑥+ 𝐶
  3. ln 3𝑥+ 𝑒3𝑥+ 𝐶
  4. ln 𝑥+ 𝑒𝑥+ 𝐶
Javobni ko'rish
𝑒𝑥+4 + ln 𝑥+ 𝐶
#81
Ushbu ∫ 𝑒𝑥+𝑦𝑑𝑥 integralni hisoblang.
  1. 𝑒𝑦+ 𝐶
  2. 𝑒𝑥+𝑦+ 𝐶
  3. −𝑒𝑦+ 𝐶
  4. −𝑒𝑥+ 𝐶
Javobni ko'rish
𝑒𝑥+𝑦+ 𝐶
#82
Ushbu ∫ 𝑒𝑥+𝑦𝑑𝑦 integralni hisoblang.
  1. 𝑒𝑥+𝑦+ 𝐶
  2. 𝑒𝑥+ 𝐶
  3. −𝑒𝑥+𝑦+ 𝐶
  4. −𝑒𝑦+ 𝐶
Javobni ko'rish
𝑒𝑥+𝑦+ 𝐶
#83
Ushbu ∫ 6𝑥ln 6𝑑𝑥 integralni hisoblang.
  1. ln 6𝑥+ 𝐶
  2. 6𝑥+ 𝐶
  3. −6𝑥+ 𝐶
  4. 6𝑥+ 𝐶
Javobni ko'rish
6𝑥+ 𝐶
#84
Ushbu ∫ 16𝑥⋅ln 2𝑑𝑥 integralni hisoblang.
  1. 24𝑥ln 4 + 𝐶
  2. 24𝑥−4 + 𝐶
  3. ln 2𝑥+ 𝐶
  4. 24𝑥+ 𝐶
Javobni ko'rish
24𝑥+ 𝐶
#85
Ushbu ∫ ln3 𝑥 𝑥𝑑𝑥 integralni hisoblang.
  1. ln5 𝑥
  2. ln4 𝑥
  3. ln2 𝑥
  4. ln3 𝑥
Javobni ko'rish
ln4 𝑥
#86
Ushbu ∫ 2sin 𝑥⋅cos 𝑥𝑑𝑥 integralni hisoblang.
  1. cos 2𝑥+ 𝐶
  2. cos2 𝑥+ 𝐶
  3. sin2 𝑥+ 𝐶
  4. sin 2𝑥+ 𝐶
Javobni ko'rish
sin2 𝑥+ 𝐶
#87
Ushbu ∫ cos 𝑥 sin 𝑥𝑑𝑥 integralni hisoblang.
  1. ln |cos 𝑥| + 𝐶
  2. −ln |sin 𝑥|𝑥+ 𝐶
  3. −ln |cos 𝑥| + 𝐶
  4. ln |sin 𝑥| + 𝐶
Javobni ko'rish
ln |sin 𝑥| + 𝐶
#88
Ushbu ∫ 𝑑𝑥 𝑥⋅ln 𝑥𝑑𝑥 integralni hisoblang.
  1. ln (ln 𝑥) + 𝐶
  2. −ln (ln 𝑥) + 𝐶
  3. −ln 𝑥+ 𝐶
Javobni ko'rish
ln (ln 𝑥) + 𝐶
#89
Aniq integralni hisoblang. ∫1 3 𝑥𝑑𝑥
  1. 2
  2. 0
  3. 1
  4. 4
Javobni ko'rish
4
#90
Aniq integralni hisoblang. ∫1 3 2𝑥𝑑𝑥
  1. 0
  2. 4
  3. 6
  4. 8
Javobni ko'rish
8
#91
Aniq integralni hisoblang. ∫1 3 3𝑥2𝑑𝑥
  1. 6
  2. 26
  3. 24
  4. 20
Javobni ko'rish
26
#92
Aniq integralni hisoblang. ∫0 1 4𝑥3𝑑𝑥
  1. 6
  2. 1
  3. 2
  4. 0
Javobni ko'rish
1
#93
Aniq integralni hisoblang. ∫0 1 3𝑥2𝑑𝑥
  1. 0
  2. 1
  3. 2
  4. 6
Javobni ko'rish
1
#94
Aniq integralni hisoblang. ∫−1 1 𝑥𝑑𝑥
  1. 2
  2. 6
  3. 1
  4. 0
Javobni ko'rish
0
#95
Aniq integralni hisoblang. ∫−1 1 𝑥3𝑑𝑥
  1. 0
  2. 2
  3. 1
  4. 6
Javobni ko'rish
0
#96
Aniq integralni hisoblang. ∫−1 1 𝑥5𝑑𝑥
  1. 2
  2. 6
  3. 1
  4. 0
Javobni ko'rish
0
#97
Aniq integralni hisoblang. ∫0 2 6𝑥2𝑑𝑥
  1. 20
  2. 16
  3. 10
  4. 6
Javobni ko'rish
20
#98
Aniq integralni hisoblang. ∫𝜋 6 𝜋 3 cos 𝑥𝑑𝑥
  1. 1
  2. 1
  3. √3−1
  4. 0
Javobni ko'rish
√3−1
#99
Aniq integralni hisoblang. ∫𝜋 6 𝜋 3 2cos 𝑥𝑑𝑥
  1. 1
  2. 1
  3. √3 −1
  4. 0
Javobni ko'rish
√3 −1
#100
Aniq integralni hisoblang. ∫0 𝜋 2 sin 𝑥𝑑𝑥
  1. 1
  2. 0
  3. 1
  4. 1
Javobni ko'rish
1
#101
Aniq integralni hisoblang. ∫1 𝑒4 1 𝑥𝑑𝑥
  1. 0
  2. 1
  3. 4
  4. 1
Javobni ko'rish
4
#102
∫0 ln 7 𝑒𝑥𝑑𝑥= ?
  1. 1
  2. 0
  3. 6
  4. 7
Javobni ko'rish
6
#103
Aniq integralni hisoblang. ∫0 1 1 1+𝑥2 𝑑𝑥
  1. 0
  2. 𝜋
  3. 𝜋
  4. 𝜋
Javobni ko'rish
𝜋
#104
Aniq integralni hisoblang. ∫2 3 𝑥2𝑑𝑥
  1. 19
  2. 2
  3. 1
  4. 1
Javobni ko'rish
19
#105
Aniq integralni hisoblang. ∫−1 0 𝑒𝑥𝑑𝑥
  1. 𝑒
  2. 𝑒−1
  3. 1
  4. 1
Javobni ko'rish
𝑒−1
#106
Aniq integralni hisoblang. ∫2 6 2 𝑥𝑑𝑥
  1. 1
  2. 0
  3. 𝑒
  4. ln 9
Javobni ko'rish
ln 9
#107
Aniq integralni hisoblang. ∫−1 1 𝑥7𝑑𝑥
  1. 2
  2. 0
  3. 6
  4. 1
Javobni ko'rish
0
#108
Aniq integralni hisoblang. ∫−𝜋 2 𝜋 2 cos 𝑥𝑑𝑥
  1. 2
  2. 1
  3. 1
  4. 0
Javobni ko'rish
2
#109
Aniq integralni hisoblang. ∫−3 3 𝑥2𝑑𝑥
  1. 18
  2. 1
  3. 11
  4. 0
Javobni ko'rish
18
#110
Aniq integralni hisoblang. ∫−2 2 𝑥2𝑑𝑥
  1. 16
  2. 2
  3. 1
  4. 1
Javobni ko'rish
16
#111
Sonli qator qaysi javobda to'g'ri berilgan?
  1. 𝑎1 + 𝑎2 + 𝑎3 + ⋯+ 𝑎𝑛+ ⋯
  2. 𝑎1 + 𝑎2 + 𝑎3
  3. 𝑎1 + 𝑎2 + 𝑎3 + ⋯+ 𝑎𝑛
  4. 𝑎1
Javobni ko'rish
𝑎1 + 𝑎2 + 𝑎3 + ⋯+ 𝑎𝑛+ ⋯
#112
1 + 1 2 + 1 4 + 1 8 + ⋯ ni hisoblang.
  1. 1
  2. 3
  3. 2
  4. 1
Javobni ko'rish
2
#113
∑𝑛=1 ∞ (−1)𝑛 2𝑛+1 sonli qatorning yettinchi hadini hisoblang.
  1. −
  2. −
  3. 1
  4. 1
Javobni ko'rish
−
#114
∑𝑛=1 ∞ 1 √𝑛 sonli qator yaqinlashuvchimi?
  1. ham yaqinlashuvchi, ham uzoqlashuvchi
  2. ha, yaqinlashuvchi
  3. to'g'ri javob berilmagan
  4. yo'q, uzoqlashuvchi
Javobni ko'rish
yo'q, uzoqlashuvchi
#115
1 + 2 + 3 + ⋯+ 𝑛+ ⋯ sonli qatorning dastlabki 𝑛 ta hadi yig'indisini hisoblang.
  1. 𝑛
  2. (𝑛+1)(𝑛+2)
  3. 𝑛(𝑛+1)
  4. 𝑛
Javobni ko'rish
𝑛(𝑛+1)
#116
∑𝑛=1 ∞ (−1)𝑛+1 sonli qatorning dastlabki 9 ta hadi yig'indisini hisoblang.
  1. 1
  2. 1
  3. 2
  4. 0
Javobni ko'rish
1
#117
∑𝑛=1 ∞ (−1)𝑛+1 sonli qatorning dastlabki 12 ta hadi yig'indisini hisoblang.
  1. 2
  2. 1
  3. 0
  4. 1
Javobni ko'rish
0
#118
∑𝑛=1 ∞ (−1)𝑛+1 sonli qatorning dastlabki 13 ta hadi yig'indisini hisoblang.
  1. 1
  2. 1
  3. 2
  4. 0
Javobni ko'rish
1
#119
∑𝑛=1 ∞ (−1)𝑛+1 sonli qatorning dastlabki 11 ta hadi yig'indisini hisoblang.
  1. 1
  2. 1
  3. 2
  4. 0
Javobni ko'rish
1
#120
1 + 1 3 + 1 9 + 1 27 + ⋯+ 1 3𝑛+ ⋯ ni hisoblang.
  1. 1
  2. 2
  3. 1
  4. 3
Javobni ko'rish
3
#121
∑𝑛=1 ∞ 1 𝑛(𝑛+1) sonli qatorning yig'indisini toping.
  1. 1
  2. 1
  3. 0
  4. 2
Javobni ko'rish
1
#122
∑𝑛=1 ∞ 2 𝑛(𝑛+1) sonli qatorning yig'indisini toping.
  1. 1
  2. 1
  3. 2
  4. 0
Javobni ko'rish
2
#123
∑𝑛=1 ∞ 1 𝑛(𝑛+1) sonli qatorning 𝑛 ta yig'indisini toping.
  1. 𝑛
  2. 𝑛
  3. 2−𝑛
  4. 2𝑛
Javobni ko'rish
𝑛
#124
∑𝑛=1 ∞ 2 𝑛(𝑛+1) sonli qatorning 𝑛 ta yig'indisini toping.
  1. 2𝑛
  2. 𝑛
  3. 2−𝑛
  4. 𝑛
Javobni ko'rish
2𝑛
#125
1 1⋅3 + 1 2⋅5 + 1 3⋅7 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛=
  2. 𝑎𝑛=
  3. 𝑎𝑛=
  4. 𝑎𝑛= 𝑛
Javobni ko'rish
𝑎𝑛=
#126
1 + 1 4 + 1 16 + 1 64 + ⋯ ni hisoblang.
  1. 1
  2. 4
  3. 1
  4. 1
Javobni ko'rish
4
#127
∑𝑛=1 ∞ (−1)𝑛 2𝑛+1 sonli qatorning beshinchi hadini hisoblang.
  1. 1
  2. −
  3. 1
  4. −
Javobni ko'rish
−
#128
∑𝑛=1 ∞ (−1)𝑛 2𝑛+1 sonli qatorning uchinchi hadini hisoblang.
  1. −
  2. 1
  3. −
  4. 1
Javobni ko'rish
−
#129
∑𝑛=1 ∞ 1 𝑛 sonli qator yaqinlashuvchimi?
  1. ham yaqinlashuvchi, ham uzoqlashuvchi
  2. yo'q, uzoqlashuvchi
  3. to'g'ri javob berilmagan
  4. ha, yaqinlashuvchi
Javobni ko'rish
yo'q, uzoqlashuvchi
#130
2 + 4 + 6 + ⋯+ 2𝑛+ ⋯ sonli qatorning dastlabki 𝑛 ta hadi yig'indisini hisoblang.
  1. 𝑛(𝑛+ 1)
  2. 𝑛
  3. 𝑛
  4. (𝑛+1)(𝑛+2)
Javobni ko'rish
𝑛(𝑛+ 1)
#131
∑𝑛=1 ∞ (−1)𝑛 sonli qatorning dastlabki 8 ta hadi yig'indisini hisoblang.
  1. 0
  2. 1
  3. 1
  4. 2
Javobni ko'rish
0
#132
∑𝑛=1 ∞ (−1)𝑛 sonli qatorning dastlabki 13 ta hadi yig'indisini hisoblang.
  1. 0
  2. 1
  3. 2
  4. 1
Javobni ko'rish
1
#133
∑𝑛=1 ∞ (−1)𝑛 sonli qatorning dastlabki 11 ta hadi yig'indisini hisoblang.
  1. 2
  2. 1
  3. 0
  4. 1
Javobni ko'rish
1
#134
∑𝑛=1 ∞ (−1)𝑛 sonli qatorning dastlabki 12 ta hadi yig'indisini hisoblang.
  1. 1
  2. 1
  3. 0
  4. 2
Javobni ko'rish
0
#135
1 + 1 5 + 1 25 + 1 125 + ⋯+ 1 5𝑛+ ⋯ ni hisoblang.
  1. 1
  2. 5
  3. 1
  4. 4
Javobni ko'rish
5
#136
∑𝑛=1 ∞ 3 𝑛(𝑛+1) sonli qatorning yig'indisini toping.
  1. 2
  2. 0
  3. 3
  4. 3
Javobni ko'rish
3
#137
1 2⋅3 + 1 3⋅4 + 1 4⋅5 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛=
  2. 𝑎𝑛=
  3. 𝑎𝑛= 𝑛
  4. 𝑎𝑛=
Javobni ko'rish
𝑎𝑛=
#138
2 + 5 + 8 + 11 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛= 4𝑛−2
  2. 𝑎𝑛= 2𝑛+ 1
  3. 𝑎𝑛= 𝑛+ 1
  4. 𝑎𝑛= 3𝑛−1
Javobni ko'rish
𝑎𝑛= 3𝑛−1
#139
5 3⋅4 + 5 4⋅5 + 5 5⋅6 + ⋯86 sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛=
  2. 𝑎𝑛=
  3. 𝑎𝑛=
  4. 𝑎𝑛= 𝑛
Javobni ko'rish
𝑎𝑛=
#140
4 + 6 + 8 + 10 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛= 𝑛+ 3
  2. 𝑎𝑛= 2𝑛+ 2
  3. 𝑎𝑛= 4𝑛−2
  4. 𝑎𝑛= 3𝑛+ 1
Javobni ko'rish
𝑎𝑛= 2𝑛+ 2
#141
1 3 + 1 9 + 1 27 + ⋯+ 1 3𝑛+ ⋯ ni hisoblang.
  1. 1
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#142
1 2 + 1 4 + 1 8 + ⋯ ni hisoblang.
  1. 3
  2. 2
  3. 1
  4. 1
Javobni ko'rish
1
#143
1 4 + 1 16 + 1 64 + ⋯ ni hisoblang.
  1. 1
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#144
1 5 + 1 25 + 1 125 + ⋯+ 1 5𝑛+ ⋯ ni hisoblang.
  1. 4
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#145
1 2 + 1 6 + 1 12 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛=
  2. 𝑎𝑛= 𝑛
  3. 𝑎𝑛=
  4. 𝑎𝑛=
Javobni ko'rish
𝑎𝑛=
#146
5 + 8 + 11 + 14 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛= 2𝑛+ 3
  2. 𝑎𝑛= 4𝑛+ 1
  3. 𝑎𝑛= 3𝑛+ 2
  4. 𝑎𝑛= 6𝑛−1
Javobni ko'rish
𝑎𝑛= 3𝑛+ 2
#147
2 + 3 + ⋯+ 𝑛+ ⋯ sonli qatorning dastlabki 𝑛 ta hadi yig'indisini hisoblang.
  1. (𝑛+1)(𝑛+2)
  2. 𝑛
  3. 𝑛(𝑛+3)
  4. 𝑛+3
Javobni ko'rish
𝑛(𝑛+3)
#148
∑𝑛=1 ∞ (−1)𝑛+1 sonli qatorning dastlabki 11 ta hadi yig'indisini hisoblang.
  1. 0
  2. 1
  3. 1
  4. 2
Javobni ko'rish
1
#149
∑𝑛=1 ∞ (−1)𝑛+1 sonli qatorning dastlabki 14 ta hadi yig'indisini hisoblang.
  1. 2
  2. 1
  3. 1
  4. 0
Javobni ko'rish
0
#150
1 3 + 1 9 + 1 27 + ⋯+ 1 3𝑛+ ⋯ ni hisoblang.
  1. 1
  2. 1
  3. 1
  4. 2
Javobni ko'rish
1
#151
∑𝑛=1 ∞ 3 𝑛(𝑛+1) sonli qatorning yig'indisini toping.
  1. 2
  2. 3
  3. 1
  4. 0
Javobni ko'rish
3
#152
1 2⋅3 + 1 3⋅5 + 1 4⋅7 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛=
  2. 𝑎𝑛=
  3. 𝑎𝑛=
  4. 𝑎𝑛= 𝑛
Javobni ko'rish
𝑎𝑛=
#153
1 4 + 1 16 + 1 64 + ⋯ ni hisoblang.
  1. 1
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#154
∑𝑛=1 ∞ (−1)𝑛 4𝑛+1 sonli qatorning beshinchi hadini hisoblang.
  1. 1
  2. −
  3. −
  4. 1
Javobni ko'rish
−
#155
∑𝑛=1 ∞ 1 𝑛(𝑛+1) sonli qatorning dastlabki 6 ta hadi yig`indisini hisoblang.
  1. 6
  2. 1
  3. 1
  4. 4
Javobni ko'rish
6
#156
∑𝑛=1 ∞ 1 3𝑛 sonli qator yaqinlashuvchimi?
  1. ha, yaqinlashuvchi
  2. to'g'ri javob berilmagan
  3. yo'q, uzoqlashuvchi
  4. ham yaqinlashuvchi, ham uzoqlashuvchi
Javobni ko'rish
yo'q, uzoqlashuvchi
#157
4 + 8 + 12 + ⋯+ 4𝑛+ ⋯ sonli qatorning dastlabki 𝑛 ta hadi yig'indisini hisoblang.
  1. 2𝑛(𝑛+ 1)
  2. 𝑛
  3. (𝑛+ 1)(𝑛+ 2)
  4. 𝑛
Javobni ko'rish
(𝑛+ 1)(𝑛+ 2)
#158
∑𝑛=1 ∞ (−1)𝑛 sonli qatorning dastlabki 5 ta hadi yig'indisini hisoblang.
  1. 2
  2. 0
  3. 1
  4. 1
Javobni ko'rish
1
#159
∑𝑛=1 ∞ (−1)𝑛 sonli qatorning dastlabki 7 ta hadi yig'indisini hisoblang.
  1. 1
  2. 0
  3. 1
  4. 2
Javobni ko'rish
0
#160
∑𝑛=1 ∞ 4 𝑛(𝑛+1) sonli qatorning yig'indisini toping.
  1. 4
  2. 0
  3. 4
  4. 2
Javobni ko'rish
4
#161
4 + 7 + 10 + 13 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛= 4𝑛−2
  2. 𝑎𝑛= 2𝑛+ 2
  3. 𝑎𝑛= 𝑛+ 1
  4. 𝑎𝑛= 3𝑛+ 1
Javobni ko'rish
𝑎𝑛= 3𝑛+ 1
#162
2 3⋅4 + 2 4⋅5 + 2 5⋅6 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛=
  2. 𝑎𝑛= 𝑛
  3. 𝑎𝑛=
  4. 𝑎𝑛=
Javobni ko'rish
𝑎𝑛=
#163
5 + 7 + 9 + 11 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛= 4𝑛−2
  2. 𝑎𝑛= 3𝑛+ 1
  3. 𝑎𝑛= 𝑛+ 4
  4. 𝑎𝑛= 2𝑛+ 3
Javobni ko'rish
𝑎𝑛= 2𝑛+ 3
#164
2 + 1 3 + 1 9 + 1 27 + ⋯+ 1 3𝑛+ ⋯ ni hisoblang.
  1. 2
  2. 2
  3. 2
  4. 2
Javobni ko'rish
2
#165
2 + 1 2 + 1 4 + 1 8 + ⋯ ni hisoblang.
  1. 3
  2. 1
  3. 2
  4. 4
Javobni ko'rish
3
#166
1 + 1 4 + 1 16 + 1 64 + ⋯ ni hisoblang.
  1. 1
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#167
1 + 1 5 + 1 25 + 1 125 + ⋯+ 1 5𝑛+ ⋯ ni hisoblang.
  1. 1
  2. 1
  3. 2
  4. 1
Javobni ko'rish
1
#168
3 + 8 + 13 + 18 + ⋯ sonli qator berilgan. 𝑎𝑛 ni toping.
  1. 𝑎𝑛= 2𝑛+ 3
  2. 𝑎𝑛= 5𝑛−2
  3. 𝑎𝑛= 6𝑛−3
  4. 𝑎𝑛= 4𝑛−1
Javobni ko'rish
𝑎𝑛= 5𝑛−2
#169
1 2 − 1 4 + 1 8 + ⋯ ni hisoblang.
  1. 0
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#170
1 − 1 4 + 1 16 − 1 64 + ⋯ ni hisoblang.
  1. 1
  2. 4
  3. 1
  4. 1
Javobni ko'rish
4
#171
1 − 1 5 + 1 25 − 1 125 + ⋯+ (−1)𝑛+1 5𝑛 + ⋯ ni hisoblang.
  1. 5
  2. 1
  3. 1
  4. 4
Javobni ko'rish
5
#172
𝑦′ = sin 𝑥 tenglamaning yechimini toping.
  1. sin 𝑥+ 𝐶
  2. −cos 𝑥+ 𝐶
  3. −sin 𝑥+ 𝐶
  4. cos 𝑥+ 𝐶
Javobni ko'rish
−cos 𝑥+ 𝐶
#173
𝑦′ = cos 𝑥 tenglamaning yechimini toping.
  1. cos 𝑥+ 𝐶
  2. −sin 𝑥+ 𝐶
  3. sin 𝑥+ 𝐶
  4. −cos 𝑥+ 𝐶
Javobni ko'rish
sin 𝑥+ 𝐶
#174
𝑦′ = tan 𝑥 tenglamaning yechimini toping.
  1. ln |sin 𝑥| + 𝐶
  2. ln cos 𝑥+ 𝐶
  3. −ln |cos 𝑥| + 𝐶
  4. −ln sin 𝑥+ 𝐶
Javobni ko'rish
−ln |cos 𝑥| + 𝐶
#175
𝑥𝑦′ = 1 tenglamaning yechimini toping.
  1. ln |𝑥| + 𝐶
  2. ln 𝑥+ 𝐶
  3. −ln |𝑥| + 𝐶
  4. −ln 𝑥+ 𝐶
Javobni ko'rish
ln |𝑥| + 𝐶
#176
𝑦′ = 𝑥+ 1 tenglamaning yechimini toping.
  1. 𝑥2
  2. 𝑥2
  3. 𝑥+ 𝐶
  4. 𝑥2
Javobni ko'rish
𝑥2
#177
𝑦𝑦′ = 𝑥−1 tenglamaning yechimini toping.
  1. 𝑦2
  2. 𝑦2
  3. 𝑦2
  4. 𝑦2
Javobni ko'rish
𝑦2
#178
(1 + 𝑦2)𝑑𝑥+ (1 + 𝑥2)𝑑𝑦= 0 tenglamaning yechimini toping.
  1. arctan 𝑥+ arctan 𝑦= 0
  2. arctan 𝑥−arctan 𝑦= 𝐶
  3. arctan 𝑥+ arctan 𝑦= 𝐶
  4. arctan 𝑥−arctan 𝑦= 0
Javobni ko'rish
arctan 𝑥+ arctan 𝑦= 𝐶
#179
(4 + 𝑦2)𝑑𝑥+ (9 + 𝑥2)𝑑𝑦= 0 tenglamaning yechimini toping.
  1. arctan
  2. 2arctan
  3. arctan
  4. 2arctan
Javobni ko'rish
2arctan
#180
(4 + 𝑦2)𝑑𝑥= (9 + 𝑥2)𝑑𝑦 tenglamaning yechimini toping.
  1. arctan
  2. 2arctan
  3. arctan
  4. 2arctan
Javobni ko'rish
2arctan
#181
𝑦(1 + 𝑥2)𝑑𝑦= 𝑥(1 + 𝑦2)𝑑𝑥 tenglamaning yechimini toping.
  1. 𝑦2 = −(1 + 𝑥2) ⋅𝐶
  2. 1 + 𝑦2 = (1 + 𝑥2) ⋅𝐶
  3. 𝑦2 = (1 + 𝑥2) ⋅𝐶
  4. 1 + 𝑦2 = −(1 + 𝑥2) ⋅𝐶
Javobni ko'rish
1 + 𝑦2 = (1 + 𝑥2) ⋅𝐶
#182
(𝑥+ 1)2𝑑𝑦= (𝑦−2)2𝑑𝑥 tenglamaning yechimini toping.
  1. 1
  2. −
  3. 1
  4. −
Javobni ko'rish
1
#183
(𝑥+ 1)3𝑑𝑦= (𝑦−2)3𝑑𝑥 tenglamaning yechimini toping.
  1. 1
  2. −
  3. 1
  4. −
Javobni ko'rish
1
#184
Differensial tenglama deb nimaga aytiladi?
  1. Erkli o'zgaruvchi va noma'lum funksiya hosilalari yoki differensiallarini bog'lovchi
  2. Noma'lum funksiyani bog‘ lovchi munosabat differensial tenglama deyiladi
  3. Erkli o'zgaruvchi va noma'lum funksiya bog'lovchi munosabatlar differensial tenglama
  4. Erkli o'zgaruvchi va noma'lum funksiya va uning hosilalari yoki differensiallarini bog‘lovchi
Javobni ko'rish
Erkli o'zgaruvchi va noma'lum funksiya va uning hosilalari yoki differensiallarini bog‘lovchi
#185
Oddiy differensial tenglama deb nimaga aytiladi?
  1. Agar noma'lum funksiya beshta erkli o'zgaruvchiga bog'liq bo'lsa, bunday differensial
  2. Agar noma'lum funksiya uchta erkli o'zgaruvchiga bog ' liq bo'lsa, bunday differensial
  3. Agar noma'lum funksiya ikkita erkli o'zgaruvchiga bog'liq bo'lsa, bunday differensial tenglama
  4. Agar noma'lum funksiya bitta erkli o'zgaruvchiga bog'liq bo'lsa, bunday differensial ' bog
Javobni ko'rish
Agar noma'lum funksiya bitta erkli o'zgaruvchiga bog'liq bo'lsa, bunday differensial ' bog
#186
Differensial tenglamaga kirgan hosilalarning eng yuqori tartibi nima deb ataladi?
  1. Differensial tenglama tartibi
  2. Differensial tenglama o'lchami
  3. Differensial tenglama o'lchovi
  4. Differensial tenglama yechimi
Javobni ko'rish
Differensial tenglama tartibi
#187
Differensial tenglamaning yechimi deb qanday funksiyaga aytiladi?
  1. Har qanday funksionalga aytiladi
  2. Har qanday uzluksiz funksiyaga aytiladi
  3. Har qanday uzilishga ega bo'lgan funksiyaga aytiladi
  4. Ixtiyoriy differensiallanuvchi funksiyaga aytiladi
Javobni ko'rish
Ixtiyoriy differensiallanuvchi funksiyaga aytiladi
#188
𝑦′′ + 3𝑦′ = 0 tenglamaning tartibini aniqlang.
  1. 3
  2. 1
  3. 2
  4. 0
Javobni ko'rish
2
#189
𝑦′′ + 3𝑦4 + cosx = 0 tenglamaning tartibini aniqlang.
  1. 0
  2. 2
  3. 3
  4. 1
Javobni ko'rish
2
#190
𝑦(6) + 𝑦7 −2x = 0 tenglamaning tartibini aniqlang.
  1. 1
  2. 2
  3. 6
  4. 0
Javobni ko'rish
6
#191
𝑦(4) + 3x𝑦′ = 0 tenglamaning tartibini aniqlang.
  1. 1
  2. 0
  3. 2
  4. 4
Javobni ko'rish
4
#192
𝑦′′ + 3𝑦(5) −x = 0 tenglamaning tartibini aniqlang.
  1. 0
  2. 5
  3. 1
  4. 2
Javobni ko'rish
5
#193
2𝑦′′′ + 𝑦′ + 3 = 0 tenglamaning tartibini aniqlang.
  1. 0
  2. 2
  3. 3
  4. 1
Javobni ko'rish
3
#194
Birinchi tartibli oddiy differensial tenglamani umumiy ko'rinishini aniqlang.
  1. 𝐹(𝑥, 𝑦, 𝑦′) = 0
  2. 𝐹(𝑦, 𝑦′) = 0
  3. 𝐹(𝑥, 𝑦′) = 0
  4. 𝐹(𝑥, 𝑦, 𝑐) = 0
Javobni ko'rish
𝐹(𝑥, 𝑦, 𝑦′) = 0
#195
Birinchi tartibli differensial tenglamaga qo'yilgan Koshi masalasini aniqlang.
  1. 𝑦′ = 𝑓(𝑥, 𝑦) va 𝑦|𝑥=𝑥0 = 𝑦0
  2. 𝑦′ = 𝑓(𝑥, 𝑦) va 𝑦′|𝑥=𝑥0 = 𝑦0
  3. 𝑦′ = 𝑓(𝑥, 𝑦) va 𝑦′′|𝑥=𝑥0 = 𝑦0
  4. 𝑦′ = 𝑓(𝑥, 𝑦) va 𝑥|𝑥=𝑥0 = 𝑦0
Javobni ko'rish
𝑦′ = 𝑓(𝑥, 𝑦) va 𝑦|𝑥=𝑥0 = 𝑦0
#196
𝑥𝑑𝑦+ 𝑦𝑑𝑥= 0 tenglamaning tartibini aniqlang.
  1. 1
  2. 3
  3. 2
  4. 0
Javobni ko'rish
1
#197
𝑦′′ + 𝑦′ + 5𝑦= 0 tenglamaning tartibini aniqlang.
  1. 0
  2. 3
  3. 1
  4. 2
Javobni ko'rish
2
#198
𝑥√1 −𝑦2𝑑𝑥+ 𝑦√1 −𝑥2𝑑𝑦= 0 tenglamaning tartibini aniqlang.
  1. 3
  2. 1
  3. 0
  4. 2
Javobni ko'rish
1
#199
O'zgaruvchilari ajraladigan differensial tenglamani ko'rsating.
  1. 𝑦′ = 𝑃(𝑥, 𝑦)
  2. 𝑦′ + 𝑃(𝑥)𝑦= 𝑄(𝑦)
  3. to'g'ri javob keltirilmagan
  4. 𝑦′ = 𝑓(𝑥)𝑔(𝑦)
Javobni ko'rish
𝑦′ = 𝑓(𝑥)𝑔(𝑦)
#200
𝑦′sin 𝑥−𝑦cos 𝑥= 0 tenglamaning yechimini toping.
  1. 𝑦= sin 𝑥⋅𝐶
  2. 𝑦= cos 𝑥⋅𝐶
  3. 𝑦= −sin 𝑥⋅𝐶
  4. 𝑦= −cos 𝑥⋅𝐶
Javobni ko'rish
𝑦= sin 𝑥⋅𝐶
#201
𝑦′sin 𝑥+ 𝑦cos 𝑥= 0 tenglamaning yechimini toping.
  1. 𝑦= cos 𝑥⋅𝐶
  2. 𝑦⋅cos 𝑥= 𝐶
  3. 𝑦⋅sin 𝑥= 𝐶
  4. 𝑦= −sin 𝑥⋅𝐶
Javobni ko'rish
𝑦⋅sin 𝑥= 𝐶
#202
3𝑦′sin 𝑥−𝑦cos 𝑥= 0 tenglamaning yechimini toping.
  1. 𝑦3 = cos 𝑥⋅𝐶
  2. 𝑦3 = sin 𝑥⋅𝐶
  3. 𝑦3 = −sin 𝑥⋅𝐶
  4. 𝑦3 = −cos 𝑥⋅𝐶
Javobni ko'rish
𝑦3 = sin 𝑥⋅𝐶
#203
𝑦′sin 𝑥−3𝑦cos 𝑥= 0 tenglamaning yechimini toping.
  1. 𝑦= −cos3 𝑥⋅𝐶
  2. 𝑦= −sin3 𝑥⋅𝐶
  3. 𝑦= sin3 𝑥⋅𝐶
  4. 𝑦= cos3 𝑥⋅𝐶
Javobni ko'rish
𝑦= sin3 𝑥⋅𝐶
#204
𝑦′x −y = 0 tenglamaning yechimini toping.
  1. 𝑦= 𝑥+ 𝐶
  2. 𝑦= − 𝑥⋅𝐶
  3. 𝑦= −x + 𝐶
  4. 𝑦= 𝑥⋅𝐶
Javobni ko'rish
𝑦= 𝑥⋅𝐶
#205
𝑦′x −y = 0 tenglamaning yechimini toping.
  1. 𝑦= 𝑥⋅𝐶
  2. 𝑦= 𝑥+ 𝐶
  3. 𝑦= − 𝑥⋅𝐶
  4. 𝑦= −x + 𝐶
Javobni ko'rish
𝑦= 𝑥⋅𝐶
#206
5 ta kitobni kitob javoniga necha xil usulda joylashtirish mumkin?
  1. 25
  2. 120
  3. 100
  4. 115
Javobni ko'rish
120
#207
4 ta kitobni kitob javoniga necha xil usulda joylashtirish mumkin?
  1. 16
  2. 24
  3. 15
  4. 25
Javobni ko'rish
24
#208
3 ta kitobni kitob javoniga necha xil usulda joylashtirish mumkin?
  1. 6
  2. 5
  3. 10
  4. 3
Javobni ko'rish
6
#209
1,2 va 3 raqamlaridan nechata uch xonali son yasash mumkin(raqamlar takrorlanmasin)
  1. 10
  2. 3
  3. 5
  4. 6
Javobni ko'rish
6
#210
5,4 va 3 raqamlaridan nechata uch xonali son yasash mumkin(raqamlar takrorlanmasin)
  1. 5
  2. 10
  3. 3
  4. 6
Javobni ko'rish
6
#211
1,4 va 6 raqamlaridan nechata uch xonali son yasash mumkin(raqamlar takrorlanmasin)
  1. 10
  2. 5
  3. 3
  4. 6
Javobni ko'rish
6
#212
1,2 va 3 raqamlaridan nechata uch xonali son yasash mumkin(raqamlar takrorlanishi mumkin)
  1. 10
  2. 6
  3. 27
  4. 18
Javobni ko'rish
27
#213
0,2 va 3 raqamlaridan nechata uch xonali son yasash mumkin(raqamlar takrorlanmasin)
  1. 4
  2. 6
  3. 5
  4. 3
Javobni ko'rish
4
#214
0,4 va 5 raqamlaridan nechata uch xonali son yasash mumkin(raqamlar takrorlanmasin)
  1. 6
  2. 3
  3. 5
  4. 4
Javobni ko'rish
4
#215
Ikkita tanga tashlanganda kamida bitta raqam tomon tushish ehtimolini toping?
  1. 3
  2. 5
  3. 1
  4. 1
Javobni ko'rish
3
#216
Ikkita tanga tashlanganda kamida bitta gerb tomon tushish ehtimolini toping?
  1. 1
  2. 1
  3. 3
  4. 5
Javobni ko'rish
3
#217
Ikkita tanga tashlanganda faqat bitta raqam tomon tushish ehtimolini toping?
  1. 3
  2. 1
  3. 5
  4. 1
Javobni ko'rish
1
#218
Ikkita tanga tashlanganda faqat bitta gerb tomon tushish ehtimolini toping?
  1. 3
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#219
Ikkita tanga tashlanganda faqat gerb tomon tushish ehtimolini toping?
  1. 1
  2. 1
  3. 1
  4. 3
Javobni ko'rish
1
#220
Ikkita tanga tashlanganda faqat gerb tomon tushish ehtimolini toping?
  1. 1
  2. 1
  3. 3
  4. 1
Javobni ko'rish
1
#221
Muqarrar hodisaning ehtimoli nimaga teng?
  1. 1
  2. 1
  3. 1
  4. 0
Javobni ko'rish
1
#222
Mumkin bo’lmagan hodisaning ehtimoli nimaga teng?
  1. 0
  2. 1
  3. 1
  4. 1
Javobni ko'rish
0
#223
O’yin kubigi bir marta tashlanganda 2 raqam chiqish ehtimolini toping?
  1. 1
  2. 3
  3. 1
  4. 1
Javobni ko'rish
1
#224
O’yin kubigi bir marta tashlanganda 3 raqam chiqish ehtimolini toping?
  1. 3
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#225
O’yin kubigi bir marta tashlanganda 6 raqam chiqish ehtimolini toping?
  1. 3
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#226
O’yin kubigi bir marta tashlanganda juft son chiqish ehtimolini toping?
  1. 3
  2. 1
  3. 1
  4. 1
Javobni ko'rish
1
#227
O’yin kubigi bir marta tashlanganda toq son chiqish ehtimolini toping?
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  2. 1
  3. 1
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#228
O’yin kubigi bir marta tashlanganda 2 ga karrali son chiqish ehtimolini toping?
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#229
O’yin kubigi bir marta tashlanganda 3 ga karrali son chiqish ehtimolini toping?
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