A
???? = √????
  
B - O‘quv yilidа umumta’lim

A
𝑦 = √𝗑
|
B
𝑦 = 𝟑𝟑√𝗑
|
C
𝑦 = 𝟐𝟐 − 𝗑
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D
𝑦 = |𝗑|
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E
𝑦 = 𝗑𝟐𝟐 − 𝟐𝟐𝗑
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Berilgan grafiklarni funksiyalarga moslashtiring:
A
𝑦 = −𝗑𝟐𝟐
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B
𝑦 = 𝟐𝟐𝗑
|
C
𝑦 = −𝗑 − 𝟐𝟐
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D
𝟑𝟑
𝑦 = − 𝗑
|
E
𝑦 = |𝗑 − 𝟏𝟏|
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Berilgan grafiklarni funksiyalarga moslashtiring:
A
𝑦 = 𝟓𝟓𝗑
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B
𝑦 = (𝗑 − 𝟐𝟐)𝟐𝟐
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C
𝑦 = 𝐥𝐥𝐥𝐥𝐥𝐥𝟓𝟓 𝗑
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D
𝑦 = 𝟑𝟑√𝗑
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E
𝑦 = |𝗑 + 𝟐𝟐|
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Berilgan grafiklarni funksiyalarga moslashtiring:
A
𝑦 = 𝟔𝟔𝗑
|
B
𝑦 = −𝟏𝟏 − 𝗑𝟐𝟐
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C
𝑦 = √𝗑 − 𝟐𝟐
|
D
𝑦 = −𝗑 + 𝟑𝟑
|
E
𝑦 = −|𝗑|
|
Berilgan grafiklarni funksiyalarga moslashtiring:
A
𝑦 = √𝗑 − 𝟐𝟐
|
B
𝑦 = 𝟓𝟓𝗑
|
C
𝑦 = 𝗑𝟑𝟑
|
D
𝑦 = 𝟐𝟐 − 𝗑
|
E
𝑦 = −𝗑𝟐𝟐
|
savol
Tenglamani yeching: 5𝑥2−6 − 125 = 0
Ushbu log
toping.
2(𝑥 − 4 ) = 2 logarifmik tenglamaning ildizi 𝑥 0
bo‘lsa, 𝑥0+2 ning qiymatini
2
Tenglamani yeching: 2𝑠𝑠𝑠𝑛2𝑥 + 1 = 1
Tenglamani yeching: log3 𝑥 + 1 = log2 8
Tenglamani yeching: 4𝑥 = 8
Tengsizlikni yeching: 92𝑥−1 − 81 < 0
Ushbu log3 𝑥 > 1 logarifmik tengsizlikni yeching.
Trigonometrik tengsizlikni yeching: −𝐶𝑜𝑠𝑥 ≤ −0,5
Tengsizlikni yeching: 3 ∙ 12𝑥 ≤ 36
Tengsizlikni yeching: 1 + 2𝑙𝑔𝑥 > 0
savol
Ushbu 𝑦 = 𝑥3 , 𝑦 = 0 , 𝑥 = 1 va 𝑥 = 2 chiziqlar bilan chegaralangan egri chiziqli trapetsiyaning yuzini (kv.birlik) toping.
A) 8 B) 4 C) 1 1
2
D) 3 3
4
Quyidagi rasmda, 𝑦 = 𝑥2 + 2𝑥 − 3 parabola grafigi tasvirlangan. Grafikdan foydalanib, Ox o‘qi va parabola bilan chegaralangan sohani yuzini (kv.birlik) toping.
A) 12 B) 11 C) 32
3
D) 35
3
Ushbu 𝑦 = 2𝑥2, 𝑦 = 0 va 𝑥 = 3 chiziqlar bilan chegaralangan figuraning yuzi necha kvadrat birlik bo‘ladi?
A) 18 B) 27 C) 54 D) 36
Quyidagi chiziqlar bilan chegaralangan egri chiziqli trapetsiyaning yuzini (kv.birlik) toping.
𝑦 = 1
√𝑥
, 𝑦 = 0, 𝑥 = 1, 𝑥 = 4
A) 5 B) 2 C) 3 D) 1
Quyidagi rasmda, 𝑦 = 3√𝑥
funksiya grafigi tasvirlangan. Grafikdan foydalanib,
𝑦 = 0, 𝑦 = 3√𝑥, 𝑥 = 0 va 𝑥 = 8 chiziqlar chegaralangan sohani yuzini (kv.birlik)
toping.
A) 9 B) 15 C) 12 D) 18
Ushbu 𝑦 = 𝑥3 − 1, 𝑦 = 0, 𝑥 = 1va 𝑥 = 3 chiziqlar bilan chegaralangan egri chiziqli trapetsiyaning yuzini (kv.birlik) toping.
A) 22 B) 18 C) 19,5 D) 22,5
Ushbu 𝑦 = 𝑐𝑜𝑠𝑥, 𝑦 = 0, 𝑥 = 0 va 𝑥 = π chiziqlar bilan chegaralangan egri chiziqli
6
trapetsiyaning yuzini (kv.birlik) toping.
A) 2√3 B) 1,5 C) √3 D) 0,5
Ushbu 𝑦 = 3√𝑥, 𝑦 = 0, 𝑥 = 1 va 𝑥 = 8 chiziqlar bilan chegaralangan egri chiziqli trapetsiyaning yuzini (kv.birlik) toping.
A) 11 3
4
B) 12 3
5
C) 11 D) 9
Ushbu 𝑦 = 1
𝑥+7
, 𝑦 = 0, 𝑥 = 0 va 𝑥 = 2 chiziqlar bilan chegaralangan egri chiziqli
trapetsiyaning yuzini (kv.birlik) toping.
( ) ( ) ( ) ( )
7 7 7 7
Berilgan 𝑦 = 4𝑥 − 𝑥2 parabola bilan Ox o‘qi orasidagi sohani yuzini (kv.birlik) toping.
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1. 8𝑥7
2. 3√𝑥2
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A. 3 𝑥 3√𝑥2 + 𝐶
5
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B. ln|2𝑥| + 𝐶
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3. 2 , 𝑥 ≠ 0
𝑥
4. 3𝑠𝑠𝑠𝑛3𝑥
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C. −𝑐𝑜𝑠3𝑥 + 𝐶
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D. − 1 𝑐𝑜𝑠3𝑥 + 𝐶
3
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E. 𝑥8 + 𝐶
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F. ln𝑥2 + 𝐶
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Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1. 1 , 𝑥 > 0
𝑥𝑙𝑛5
2. 1 , 𝑥 ≠ 0
𝑥−4
3. 1 , 𝑥 ≠ 𝜋 + 𝜋𝑛 , (𝑛 ∈ 𝑍)
𝑐𝑜𝑠27𝑥 14 7
4. 23𝑥
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A.1 𝑡𝑔7𝑥 + 𝐶
7
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B. log5|𝑥| + 𝐶
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C. −𝑡𝑔7𝑥 + 𝐶
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D.− 1 + 𝐶
3𝑥−3
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E. 8𝑥 + 𝐶
3∙𝑙𝑛2
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F. 1 ∙ 23𝑥 + 𝐶
3 𝑙𝑛2
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Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1. 𝑥 + 2
2. 1 , 𝑥 ≠ 1
𝑥−1
3. 𝑒1−3𝑥
4. 1 , 𝑥 ≠ 𝜋𝑛 , (𝑛 ∈ 𝑍)
𝑠𝑠𝑠𝑛24𝑥 4
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A. ln|𝑥 − 1| + 𝐶
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B.− 1 𝑒1−3𝑥 + 𝐶
3
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C. −3𝑒1−3𝑥 + 𝐶
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D.− 1 𝑐𝑡𝑔4𝑥 + 𝐶
4
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E. −𝑐𝑡𝑔4𝑥 + 𝐶
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F. 𝑥2 + 2𝑥 + 𝐶
2
|
Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1. 6𝑥2 − 2𝑥
2. 3 , 𝑥 ≠ 0
4√𝑥
3. 2
𝑒𝑥
4. − 1 , 𝑥 ≠ 𝜋 + 𝜋𝑛 , (𝑛 ∈ 𝑍)
𝑐𝑜𝑠23𝑥 6 3
|
A. 3 √𝑥 + 𝐶
2
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B. −2𝑒−𝑥 + 𝐶
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C. − 1 𝑒−𝑥 + 𝐶
2
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D.2𝑥3 − 𝑥2 + 𝐶
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E. −𝑡𝑔3𝑥 + 𝐶
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F. − 1 𝑡𝑔3𝑥 + 𝐶
3
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Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
2
1. −𝑥 + 𝑥
2
2. 1 , 𝑥 ≠ −1
1+𝑥
3. 32+5𝑥
4. 1 , 𝑥 ≠ 3𝜋𝑛, (𝑛 ∈ 𝑍)
𝑠𝑠𝑠𝑛2(𝑥
3)
|
A. ln|𝑥 + 1| + 𝐶
|
2+3𝑥
B. 3 + 𝐶
5𝑙𝑛3
|
2 3
C. − 𝑥 + 𝑥 + 𝐶
2 6
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D.− 1 𝑐𝑡𝑔 𝑥 + 𝐶
3 3
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E. −3𝑐𝑡𝑔 𝑥 + 𝐶
3
|
F. −𝑥 + 𝑥2 + 𝐶
3
|
Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1
1. 𝑥− + 2
3
2. (𝑥 + 3)−1, 𝑥 ≠ −3
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A. 2cos3𝑥 + 𝐶
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B. 3 𝑥2 + 𝐶
3
2
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C. −2𝑐𝑜𝑠3𝑥 + 𝐶
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3. 72𝑥
4. −6𝑠𝑠𝑠𝑛3𝑥,
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D.−(𝑥 + 3)−2 + 𝐶
|
E. ln|𝑥 + 3| + 𝐶
|
2𝑥
F. 1 ∙7 + 𝐶
2 𝑙𝑛7
|
Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1. 𝑥3
2. 3 , ( 𝑥 ≠ −6)
𝑥+6
3. 𝑒𝑥+2
4. 3𝑠𝑠𝑠𝑛9𝑥
|
A. 𝑒𝑥+2 + 𝐶
|
B.− 1 cos9𝑥 + 𝐶
3
|
C. 𝑥4 + 𝐶
4
|
D.3ln|𝑥 + 6| + 𝐶
|
E. −3𝑐𝑜𝑠9𝑥 + 𝐶
|
F. 3𝑥2 +𝐶
|
Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1. 5√𝑥2
2.− 6 , 𝑥 ≠ 0
𝑥2
3. 1
𝑒−4𝑥
4. −6 , 𝑥 ≠ 𝜋𝑛 , (𝑛 ∈ 𝑍)
𝑠𝑠𝑠𝑛23𝑥 3
|
A. ln|𝑥 − 1| + 𝐶
|
B.5 𝑥 5√𝑥2 + 𝐶
7
|
C. 6 + 𝐶
𝑥
|
D.1 𝑒4𝑥 + 𝐶
4
|
E. 2𝑐𝑡𝑔3𝑥 + 𝐶
|
F. 𝑥2 + 2𝑥 + 𝐶
2
|
Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1. 1 𝑥 ≠ 0
3 𝑥
√
2. 1 , 𝑥 ≠ −9
𝑥+9
3. 𝑒5𝑥
4. 𝑠𝑠𝑠𝑛6𝑥,
|
A. 5𝑒5𝑥 + 𝐶
|
B.3 3√𝑥2 + 𝐶
2
|
C. ln|𝑥 + 9| + 𝐶
|
D.− 1 𝑐𝑜𝑠6𝑥 + 𝐶
6
|
E.1 𝑒5𝑥 + 𝐶
5
|
2
F. 𝑥 + 2𝑥 + 𝐶
2
|
Moslikni toping:
Funksiyalar
|
Boshlang‘ich funksiyalar
|
1. 4(𝑥 + 2)3
2. 1 , 𝑥 ≠ 0
3𝑥
3. 6−𝑥
4. 16𝑐𝑜𝑠8𝑥,
|
A. −96𝑠𝑠𝑠𝑛8𝑥 + 𝐶
|
−𝑥
B.− 6 + 𝐶
𝑙𝑛6
|
C. 12(𝑥 + 2)2 + 𝐶
|
D. 2𝑠𝑠𝑠𝑛8𝑥 + 𝐶
|
E.1 ln|𝑥| + 𝐶
3
|
F. (𝑥 + 2)4 + 𝐶
|
|