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Authored by Dauren Abdillayev

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17 questions

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1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

у= хsin⁡х\sqrt[]{х\sinх} туындысы

sin⁡x2xsin⁡x\frac{\sin x}{2\sqrt[]{x\sin x}}

sin⁡x+cos⁡x2xsin⁡x\frac{\sin x+\cos x}{2\sqrt[]{x\sin x}}

sin⁡2x+cos⁡2x4xsin⁡x\frac{\sin2x+\cos2x}{4\sqrt[]{x\sin x}}

sin⁡x−cos⁡xxsin⁡x\frac{\sin x-\cos x}{\sqrt[]{x\sin x}}

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

АВСАС\frac{АВС}{АС} =ВС=10 ВД ⊥\perp АВС ВД=5 ∠\angle В=300 Д дан АС қашықтық?

10

12

11

13

3.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

𝑐𝑜𝑠2 𝑥 2 − sin 𝑥𝑐𝑜𝑠 𝜋 6 = 0 [−2𝜋; 3𝜋] түбірлерінің қосындысын есептеңіз.

4п

5п

6п

3п

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

А(−1; 0; 2), 𝐵(2; 1 ; 1) нүктелері арқылы өтетін түзу мен 2𝑥 + 𝑦 − 𝑧 − 6 = 0 жазықтығының қиылысу нүктесін табыңыз.

( 104:74:36\frac{10}{4}:\frac{7}{4}:\frac{3}{6} )

( 411:45:34\frac{4}{11}:\frac{4}{5}:\frac{3}{4} )

( 114:54:34\frac{11}{4}:\frac{5}{4}:\frac{3}{4} )

( 14:34:54\frac{1}{4}:\frac{3}{4}:\frac{5}{4} )

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Иррационалдан құтылыңыз: х3х3−х2х+х \frac{\sqrt[3]{х}}{\sqrt[3]{х}-\sqrt[х]{х^2}+х}\

х3х−1\frac{\sqrt[3]{х}}{х-1}

х−1х\frac{\sqrt[]{х}-1}{х}

х3+1х+1\frac{\sqrt[3]{х}+1}{х+1}

х3+2х−1\frac{\sqrt[3]{х}+2}{х-1}

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

𝑑̅векторы 𝑎̅, 𝑏̅, 𝑐̅ векторына жіктеңіз. 𝑎̅ = (1; 3; 5) 𝑏̅ = (0; 4; 5)

𝑐̅= (7; −8; 4) 𝑑̅= (2; −1; 3) 𝑑̅= 𝑥𝑎̅ + 𝑦𝑏̅ + 2с

d=−13a−23b+13cd=-\frac{1}{3}a-\frac{2}{3}b+\frac{1}{3}c

d=−12a+25b+13cd=-\frac{1}{2}a+\frac{2}{5}b+\frac{1}{3}c

d=−13a+23b+13cd=-\frac{1}{3}a+\frac{2}{3}b+\frac{1}{3}c

d=−13a+25b+12cd=-\frac{1}{3}a+\frac{2}{5}b+\frac{1}{2}c

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

20232 − 20222 + 20212 − 20202 + ⋯ + 3 2 − 2 2 + 1 2 мәнін табыңыз

2047879

2023145

2034567

2047276

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