1. =3-3.
:
1. ;
2. , ( );
3. , ;
4. ;
5. ;
6. , ( );
7. , ;
8. ;
9. ;
10. .
, .. . , , .
.
1.
2. lim (x3-3x)=-¥; lim (x3-3x)=+¥,
x -¥ x+¥
3. . , f ¢(x)>0. f ¢(x)=32-3>0, 2>1 ||> 1. , =2-3 , f ¢(x)<0: 32-3<0, 2<1, -1<<1. , =3-3 ]-1, 1[.
4. . (x)=3x2-3=0 : 1=-1, 2=1. 1=-1, 2=1. 1=-1 , f ¢(x)=302-3<0. =-1 , =-1 . f(-1)=(-1)3-3(-1)=2 ( . 4). 2=1 , . , =1 . ( . 4).
5. : . f(0)=03-30=0 ( . 4).
6. . , <0. , . , >0. , .
7. . :
0); (0; 0), 0).
8. :
-1 | |||||
f(x) | -2 | ||||
-3 | |||||
-6 | |||||
9. =3-3
4. =3-3.
|
|
2. , , =k(100x2-x3), k -, - +=100.
. : = k(200-32)=0, 1=0, 2=200/3. 1=0: 1=0 . 2=200/3: , 2=200/3 , 2=100-200/3=33,3. , 33,3% .
2. , .. . , =f(x)=x2(a-x), - . ?
. : 1=0, 2=2/3.
1=0 , . 2=2/3: , 2=2/3 . , =2/3 , .