Toshkent davlat texnika universiteti "oliy matematika" kafedrasi
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3-TIPIK HISOB (1)
- Bu sahifa navigatsiya:
- 27 – variant
- 28 – variant
- 29 – variant
- 30 – variant
- 31 – variant
- 32 – variant
- 33 – variant
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10.
2 2 2 2 , : 4 , 4, 0 V dxdydz V x y y y z z x y
11.
. 0 , 3 ; 1 , 0 , 20 : ) ( : ) 2 7 ( 2 z xy z x y x y V dxdydz y x V
12. , 3 dl z y x I buyerda
:
z t y t x , 3 , 2 3 2 chiziqning ) 0
0 ; 0 ( A va ) 2 ; 3 2 2 ; 2 (
nuqtalarorasidagiyoyi. 13.
,
xdy I buyerda
: 2 2 ,
x x y parabolalarorasidagiegrichiziqyoyi.
18
27 – variant 1.
1 2 20 9 1 n n n
2. 1 2 )! 2 ( 1
n n
3. 3 1 ln ln(ln ) n n n n
4. ∑ ( )
5.∑
( )
√
6. ( ) funksiyani ning darajalari bo‟yicha qatorga yoying. 7. 5 1,1, 0,00001
8. ( ) {
Ushbu funksiyani Fur‟е qаtоrigа yoying. 9. 2 3 1 0
dy fdx
10.
2 2 2 2 1, , 2 , , 2 x y x y x z x y z x y
11.
. 0 , 0 , 0 ; 1 4 8 15 : ) ( : ) 4 8 15 1 ( 2 z y x z y x V z y x dxdydz V
12. , 1 2 2 2 dl z y x I bu yerda :
2 ; 1 ( A va
) 6 ; 3 (
nuqtalarni tutashtiruvchi to„g„ri chiziq kesmasi. 13. ,
ydx xdy I buyerda
:
y t x 3 3 sin 4 , cos 4 astroidayoyi.
1. 1 2 6 35 49 1 n n n
2. 1 )! 3 (
n n n
3. 3 1 ln(ln ) n n n
4. ∑ ( )
5. ∑ ( )
6. ( ) √
funksiyani ning darajalari bo‟yicha qatorga yoying. 7. 3 2 , 0,00001 8. ( ) {
Ushbu funksiyani Fur‟е qаtоrigа yoying. 9. 2 2 2 0 2 x x x dx fdy 10.
0, 0, 2 6 x y x y z
11. . 0 , 0 , 0 ; 1 , 3 : ) ( : 2 z y x z x y V dxdydz x V
12. ,
I bu yerda :
x x y 4 , 4 2 2
parabolalar orasidagi egri chiziq yoyi. 13.
, ) 1 (
y x ydy xdx I buyerda
: ) 1 ; 1 ; 1 ( A va ) 4 ; 3 ; 2 ( B nuqtalarnitutashtiruvchito„g„richiziq.
19
29 – 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.
, sin
cos AB xdy ydx I buyerdaAB- kesma: A(2;-2), B(-2;2).
30 – 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).
20
31 – variant 1. ... 7 4 1 6 3 1 5 2 1 4 1 1
2.
1 3 3 ; 2 ! ! 3 n n n n
3. 1 2 1 , ( 0) ln (ln ln ) n n n n
4. ∑ ( )
5. ∑ ( )
( )
6. ( ) funksiyani Makloren qatoriga yoying. 7. 24 ,
0,001 8. ( ) funksiyani dа kоsinuslаr bo‟yichа Fur‟е qаtоrigа yoying.
9.
1 0 0 1 1 ln . y e y fdx dy fdx dy 10.
1 1 y e y dxdy x
11. . 0 , ; 1 , 0 , 4 : ) ( : ) 18 9 (
xy z x y x y V dxdydz z V
12. , 4 2 2 y x dl I buyerda
- uchlariO(0;0), A(1;2) nuqtalardaniboratkesma. 13.
dy y x dx y x I , ) 4 ( ) 4 ( buyerda B A yoy 4 x y egrichiziqningyoyi: A(1;1) vaB(-1;1).
32 – variant 1.
... 8 1 3 2 4 1 3 2 2 1 3 2 3 2
2. 1 ; 1 2 n n n
3. 2 2 1 ln (ln ln ) n n n n
4. ∑ ( )
5. ∑
( )
6. ( ) funksiyani ning darajalari bo‟yicha qatorga yoying. 7. 0, 3,
0, 0001 sh 8.
( ) funksiyani ( yarim intеrvаldа Fur‟е qаtоrigа yoying. 9.
1 0 0 2 1 0 2 . y y fdx dy fdx dy
10. 1 3 2 1
ln ( 3) x y dxdy y x 11.
. 0 , 0 , 0 ; 1 3 , 15 : ) ( : 25 2 z y x z y x V dxdydz y V
2. 12. , ) ( dl z x I buyerda
egrichiziqparametriktenglamalaribilanberilgan: . 2
0 , 2 ), 1 ln( , 1 2 2 2 2
at z t a y t at x 13.
, B A xdy ydx I buyerda B A yoy 1 2 2
x aylananing ) 2
; 2 1 ( A nuqtasidan ) 2
; 2 1 ( B nuqtasigachasoatmillariharakatiyo„nalishidao„ti ladi.
21
33 – variant 1.
... 11 9 7 1 9 7 5 1 7 5 3 1 5 3 1 1
2. 1 ; 1 1 2 1 2 n n n n
3. 3 2 1 ln (ln ln ) n n n n
4. ∑ ( )
5. ∑
( )
6. ( ) √
funksiyani Makloren qatoriga yoying. 7. 0, 3, 0, 0001 ch 8.
( )
funksiyani dа Fur‟е qаtоrigа yoying. 9. 1 0 0 2 1 0 2 2 . y y fdx dy fdx dy
10. 2 2 2 ( ) , : 0, 1, 0, D x y dxdy D x x y y x
11.
. 0 , 0 , 0 ; 1 6 4 2 : ) ( : ) 6 4 2 1 ( 4 z y x z y x V z y x dxdydz V
12. , ) ( dl z x I buyerda
:
y R z y x , 2 2 2 2 aylanayoyining ) 2
2 / ; 2 / ( ), ; 0 ; 0 ( R R R B R A nuqtalarorasidagikichikqismi. 13. ,
ydz xdy zdx I buyerda
vintchizig„ining ) 0
0 ; (a A nuqtadan
) 2 ; 0 ; ( c a B gachabo„lganbiro„ramdir: 2 0 , , sin , cos
ct z t b y t a x .
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