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3-TIPIK HISOB (1)
- Bu sahifa navigatsiya:
- 6 – variant 1.
- 7 – variant 1.
- 8 – variant 1.
13. ) 4 ; 4 ; 4 ( ) ; 1 ; 1 ; 1 ( 2 2 2 2z y x z y x zdz ydy xdx I to„g„richiziqkesmasibo„yichahisoblansin.
6 – variant 1. 1 ) 2 3 )( 1 3 ( 1 n n n
1 2 1 1 n n n n
2 1
1) ( 1) n n n 4. ∑ ( )
5. ∑ ( )
6. ( )
funksiyani
nuqta atrofida Teylor qatoriga yoying. 7. sin 72 ,
0, 001 8. ( ) funksiyani dа kоsinuslаr bo‟yichа Fur‟е qаtоrigа yoying.
9. 2 1 0 arcsin 0 1 2 1 arccos 0 .
y fdx dy fdx dy
D xdxdy : D sikloidaningbirarkasi. 11. . 0 , 0 , 0 ; 1 3 8 16 : ) ( : ) 3 8 16 1 ( 2 z y x z y x V z y x dxdydz V
, ) ( 2
z x I buyerda
chiziq
3 2 , 2 3 , t z t y t x egrichiziqningyoyi ) 1
( t .
, ) ( ) ( ) ( dz y x dy x z dx z y I buyerda
-aylana: ) 2
( , , 2 2 2 2 xtg y a z y x . Ox o„qiningmusbatqismidanqaragandaayla nasoatmillariharakatigateskariyo„nalish dao„tilsin.
8
7 – variant 1. 1 10 2 5 n n n n
1 1 3 1 2 2 n n n n
2 1
n n e
4. ∑ ( )
(
)
5. ∑
6. ( ) √
funksiyani
nuqta atrofida Teylor qatoriga yoying. 7. 1 2 , 0, 00001
e 8. ( )
dа sinuslаr bo‟yichа Fur‟е qаtоrigа yoying.
1 2 2 0 0 1 0 . y y fdx dy fdx dy
3
integralnihisoblangbuyerda 2 2 : , 2 ,
1 4
x y x xy va xy chiziqlarbilanchegaralangansoha. 11. . 0 , 0 , 0 ; 1 , 10 : ) ( : ) 3 ( 2 2 z y x y x y z V dxdydz y x V
, 2 2 2
z y I buyerda
-aylana:
x y a z y x 2 2 2 2 . 13. , 2 2
x dx y I buyerda
: 2 x y parabolaningA(0;0), B(2;4) nuqtalariorasidagiyoyi.
8 – variant 1. 1 2 2 ) 1 ( 1 2
n n n
1 1 arcsin n n n
1 1
ln 1
n n n 4. ∑ ( )
( )
5. ∑
( )
6. ( )
funksiyani Makloren qatoriga yoying.
1 3 , 0, 00001
e 8. ( )
funksiyani dа sinuslаr bo‟yichа Fur‟е qаtоrigа yoying.
1 0 0 ln 1 ln 1 . y y e y fdx dy fdx dy
2 2
y dxdy integralnihisoblangbuyerda 2 2 2 2 : 2 D x y x va x y x aylanalarbilanchegaralangansoha. 11. . 1 , 0 , ; 0 , 3 : ) ( : ) 30 15 ( 2 2 x y x y z y x z V dxdydz z x V
, 2
x I buyerda
-chiziq
9 , 2 2 2 2 2
x z y x egrichiziqning (aylana) yoyi. 13. , 2 2 2 dz x dy z dx y I buyerda
- Vavianachizig„i: ax y x a z y x 2 2 2 2 2 2 , ning
(x,y) tekislikdanyuqoridagiqismidir.
9
9 – variant
1. 1 ) 5 2 )( 1 2 ( 1
n n
2. 2 ) 1 2 ln( ) 1 2 ( 1 n n n
3. 1 n n e n
4. ∑ ( )
5. ∑
( )
6.
( )
funksiyani Makloren qatoriga yoying. 7. 1 4 , 0, 00001 e 8. ( ) funksiyani dа sinuslаr bo‟yichа Fur‟е qаtоrigа yoying. 9. 1 2 2 0 0 1 0 2 2 . x x fdy dx fdy dx 10.
2 2 2 2 ( 3 2) : 4 D x y ds D x y 11.
. 0 , ; 1 , 0 , : ) ( : ) 8 4 ( 3
xy z x y x y V dxdydz z V
12. , zdl I buyerda
-chiziq
ax y z y x 2 2 2 2 , egrichiziqningO(0;0;0)nuqtasidanA(a;a;a 2 ) nuqtasigachabo„lganyoyi. 13. , 2 2
x dx y I buyerda
-chiziqA(- a;0) nuqtadanB(a;0) gachabo„lganyarimellipsyoyidir:
sin
, cos
. 10 – variant 1.
... 27 1 5 3 9 1 5 3 3 1 5 3 5 3
2. 1 ; 2 3 3 2
n n
3. 2 2 1 ln n n n
4. ∑ ( )
5.
∑ ( )
√
6. ( )
funksiyani
nuqta atrofida Teylor qatoriga yoying. 7. ln 0,98, 0,0001 8. ( ) {
Ushbu funksiyani Fur‟е qаtоrigа yoying.
9.
3 2 0 4 0 3 0 2 4 2 2
x fdy dx fdy dx 10.
2 2 ( 2 ) : 0, 0 1 D x xy y ds D x y va x y
chiziqlar bilan chegaralangan soha. 11. . 0 , ; 1 , 0 , 36 : ) ( : ) 2 1 ( 3 z xy z x y x y V dxdydz x V
12 . , ) 3 2 ( dl y x I bu yerda chiziq
2 cos a r lemnistikataning o„ng yaprog„i. 13. , 2 ) ( 2 2 2
x yzdy dx z y I buyerda
egrichiziq . )
0 ( , , , 3 2 t t z t y t x
10
11 – variant
1. ... 6 5 4 1 5 4 3 1 4 3 2 1 3 2 1 1
2. 1 3 ; 2 1 n n
3. 5 2 1 ln n n n
4. ∑ ( )
5. ∑ ( )
6.
( ) √ funksiyani Makloren qatoriga yoying. 7. 27 ,
0, 001 8. ( ) funksiyani ( dа Fur‟е qаtоrigа yoying. 9. 4 0 sin
0 2 4 cos 0 . y y fdx dy fdx dy 10.
1 2 0 0
( )
y dxdy 11.
. 0 , ; 1 , 0 , 4 : ) ( : ) 90 60 ( 2 2 z y x z x y x y V dxdydz z y V
12. AB y x dl I , 2 2 buyerdaAB- uchlariA(0;-2), B(4;0) nuqtalardaniboratkesma. 13. ,
cos AB xdy ydx I buyerdaAB- kesma: A(2;-2), B(-2;2).
12 – variant
1. ... 13 10 1 10 7 1 7 4 1 4 1 1 2.
1 1 ; 1 1 2 n n n
3. 6 2 1 ln n n n
4. ∑ ( )
( )
5. ∑ ( )
6. ( )
funksiyani ning darajalari bo‟yicha qatorga yoying. 7. 8 ,
0, 001 8. ( )
funksiyani dа Fur‟е qаtоrigа yoying. 9.
1 2 0 2 0 1 0 3
x fdy dx fdy dx
10. 2 1 2 0 x x xy dxdy
11.
. 0 , ; 1 , 0 , 9 : ) ( : ) 3 5 3 10 ( z xy z x y x y V dxdydz x V
12. , xydl I buyerda
-ushbu
2 , 4 , 0 , 0
x y x to„g„richiziqlardantashkiltopganto„rtburchak konturi. 13.
AB xydy dx y x I , ) ( 2 2 buyerdaAB-kesma: A(2;2), B(3;4).
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