Toshkent davlat texnika universiteti "oliy matematika" kafedrasi
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3-TIPIK HISOB (1)
- Bu sahifa navigatsiya:
- 14 – variant
- 15 – variant
- 16 – variant
- 17 – variant
- 18 – variant
- 19 – variant
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13 – 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).
14 – 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 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
1. 12. , ) ( dl z x I buyerda
egrichiziqparametriktenglamalaribilanberilga n: .
1 0 , 2 ), 1 ln( , 1 2 2 2 2 t 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 „tiladi.
12
15 – 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 .
16 – variant 1.
2. 2 ; ln 1
n n
3. 4 2 1 ln (ln ln ) n n n n
4. ∑ ( )
5.
∑ ( )
6. ( ) ( ) funksiyani
nuqta atrofida Teylor qatoriga yoying. 7. 0, 5, 0, 0001 sh 8. ( )
funksiyani dа Fur‟е qаtоrigа yoying. 9. 1 0 0 2 1 2 0 3 . y y fdx dy fdx dy
10. 2 ( 2 ) , : , 5 6
x y dxdy D y x y x 11.
. 0 , 2 3 ; 1 , 0 , : ) ( : ) 12 8 ( 2 2
y x z x y x y V dxdydz z y V
12. , ) ( dl z x I buyerda
- uchlariO(0;0) vaA(4;3) nuqtalarnitutashtiruvchito„g„richiziqkesmasi. 13. ,
2 ( ) ( dy y x dx y x I buyerda
- uchlariA(1;1), B(3;3), C(3;-1) nuqtalarnitutashtiruvchiuchburchakkonturi.
1 1 4 3 1 3 2 1 2 1 1
n 13
1.
1 3 3 ; 1 ln n n n
3. 5 2 1 ln (ln ln ) n n n n
4. ∑ ( )
5.
∑ ( )
6. ( ) ( )funksiyani ning darajalari bo‟yicha qatorga yoying. 7. 0, 37,
0, 0001 sh 8. ( ) funksiyani dа Fur‟е qаtоrigа yoying. 9. 3 0 0 2 4 2 3 0 4 2 2 x x fdy dx fdy dx
10. cos , : 0, , 0, 2 x y D e dxdy D x x y y 11.
. 0 , 60 30 ; 1 , 0 , : ) ( : ) ( 2 2 z y x z x y x y V dxdydz yz x V
12. , 8 2 2 y x dl I buyerda
- uchlariO(0;0) vaA(2;2) nuqtalarnitutashtiruvchito„g„richiziqkesmasi. 13. ,
xdy ydx I buyerda
- astroida 3 /
3 / 2 3 / 2 a y x ningA(a;0) danB(0;a) gachabo„lganyoy.
1.
2. 1 2 2 5 3 1 2 n n n n
3. 6 2 1 ln (ln ln ) n n n n
4. ∑ ( )
5.∑
( )
6. ( ) ( ) funksiyani nuqta atrofida Teylor qatoriga yoying. 7. 0, 3, 0, 0001 th 8.
( ) {
Ushbu funksiyani Fur‟е qаtоrigа yoying. 9.
1 2 0 2 0 1 0 3 . y y fdx dy fdx dy 10.
sin( ) , : 0, , 0, 2
x x y dxdy D x x y y 11.
. 0 , 0 , 0 ; 1 16 4 6 : ) ( : ) 16 4 6 1 ( 2 z y x z y x V z y x dxdydz V
12. , ydl I buyerda
:
y 3 2 2 parabolaning y x 3 2 2 parabola bilankesilganbo„lagi. 13.
, zdz ydy xdx I buyerda
: A(a;0;0) dan )
; 0 ; ( b a B gachabo„lgan 2 0 , , sin , cos
bt z t a y t a x vintchizig„iningo„rami.
3 2 1 2 1 2 1 7 5 3 1 5 3 1 1
n n n m m m m m m 1 1 1 1 2 14
19 – variant 1.
1 2 5 6 1 n n n
2. 1 2
n n
3. 2 1 ln n n n 4.
∑
5. ∑ ( )
6. ( )
funksiyani Makloren qatoriga yoying. 7. 0, 3, 0, 0001 th 8. ( ) | | funksiyani dа Fur‟е qаtоrigа yoying. 9. 1 0 0 2 1 2 0 2 2 x x fdy dx fdy dx Download 0.92 Mb. Do'stlaringiz bilan baham: 
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