$$$ 11
1) 2) 3) 4) қайсысы дұрыс ?
A) 1-4; B) 3,4; C) 1,2;
$$$ 12
функциясының [-3;4] кесіндісіндегі ең үлкен, ең кіші мәндері қандай ?
A) B) C)
$$$ 13 , , ;
$$$ 14. сызығының ойыс, дөңестігін, болса иілу нүктесін анықтаңыз.
$$$ 15. сызығының асимптотасын анықтаңыз.
$$$ 16. функциясын зерттеп, графигін тұрғызыңыз.
$$$ 17. функциясы функцисы үшін алғашқы функция болуы үшін қандай шарт орындалуы керек ?
A) B) C)
$$$ 18. 1) 2) 3) қайсысы дұрыс ?
A) 1,2,3; B) 2; C) 2,3;
$$$ 19
Тізбектін шегі бар болса, онда ол:
екеу; B) үшеу; C) төртеу; D) жалғыз; E) көп.
$$$ 20
y= функциясының анықталу облысын табыңыз.
A) ; B) C) D) E)
$$$ 21
Шекті есептеңіз: ![](data:image/png;base64,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)
0; B)3; C) D)1; E)-1.
$$$ 22
Шекті есептеңіз:
A) B) 3; C) D) 1; E) -1.
$$$ 23
Шекті есептеңіз: ![](data:image/png;base64,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)
0; B) e; C) D)1; E)
$$$24 Есептеңіз:
0; B)2; C)3; D)1; E)5.
$$$ 25
y=arctg функциясының туындысын табыңыз.
x+1; B) C) D) E)
$$$ 26
Есептеңіз: ![](data:image/png;base64,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)
A) B) C) D) E)
$$$ 27
Есептеңіз:
A)xsinx+cosx+c; B)sinx+cosx+c; C) xsinx+c; D)sinx+xcosx+c; E)xcosx+c.
$$$ 28
Есептеңіз:![](data:image/png;base64,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)
A) B) C) - D) E)
$$$ 29
Есептеңіз:
A) B) C) D) E)
$$ 30. у функциясы берiлген, у ' (0) есепте.
A) B) - С) 2 D) –7 E) 0
Достарыңызбен бөлісу: |