Toshkent davlat texnika universiteti "oliy matematika" kafedrasi
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3-TIPIK HISOB (1)
- Bu sahifa navigatsiya:
- 35 – variant
- 36 – variant
- 37 – variant
- 38 – variant
- 39 – variant
- 40 – variant
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34 – variant 1.
2. 2 ; ln 1 n 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 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. , ) (
z x I bu yerda - uchlari O(0;0) va A(4;3) nuqtalarni tutashtiruvchi to„g„ri chiziq kesmasi. 13.
) 2 ( ) (
y x dx y x I bu yerda - uchlari A(1;1), B(3;3), C(3;-1) nuqtalarni tutashtiruvchi uchburchak konturi.
1 1 4 3 1 3 2 1 2 1 1 n n 22
35 – variant 1.
2.
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 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 bu yerda - uchlari O(0;0) va A(2;2) nuqtalarni tutashtiruvchi to„g„ri chiziq kesmasi. 13. ,
xdy ydx I bu yerda - astroida 3 / 2 3 / 2 3 / 2 a y x ning A(a;0) dan B(0;a) gacha bo„lgan yoy.
36 – variant 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 bu yerda :
y 3 2 2 parabolaning y x 3 2 2 parabola bilan kesilgan bo„lagi. 13. , zdz ydy xdx I bu yerda : A(a;0;0) dan ) 2 ; 0 ; ( b a B gacha bo„lgan 2 0 , , sin , cos
bt z t a y t a x vint
chizig„ining o„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 23
37 – 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 fdy dx fdy dx 10.
2 2 , : 1, , 2
x dxdy D xy y x x y
11.
. 0 , 0 , 0 ; 1 ), 3 ( 10 : ) ( : 2 z y x x y y x z V dxdydz y V
12. , 2 2
y x I bu yerda :
y x 4 2 2 aylana yoyi. 13.
, 1 1 1 dz x dy z dx y I bu yerda :
1 ; 1 ; 1 ( A va
) 8 ; 4 ; 2 ( B dan o„tgan to„g„ri chiziq kesmasi.
38 – variant 1.
1 2 4 1
n n
2. 1 2 2 2 1 1 2 n n n n
3. 2 2 2 1 ln
n n
4. ∑ ( )
√
5. ∑ ( )
6. ( )
funksiyani ning darajalari bo‟yicha qatorga yoying. 7.
0, 3, 0, 0001
cth 8. ( )
funksiyani dа Fur‟е qаtоrigа yoying. 9.
2 2
2 4
dx fdy 10.
, : 0, 2, 1, x x D e ydxdy D x x y y e 11.
. 0 , 15 ; 1 , 0 , : ) ( : ) 2 3 5 ( 2 2
y x z x y x y V dxdydz z x V
12. ,
I bu yerda :
4 3 y x to„g„ri chiziqning koordinata o„qlari orasidagi kesmasi. 13. ,
dz e dy e dx e I y x x z z y bu yerda :
0 ; 0 ; 0 ( O bilan
) 5 ; 3 ; 1 ( A ni birlashtiruvchi kesma.
24
39 – variant 1.
1 2 3 4 1 n n n
2. 1 2 2 3 1 2 n n n n
3. 2 3 2 1 ln
n n
4. ∑ ( )
5. ∑ ( )
6. ( )
funksiyani
atrofida Teylor qatoriga yoying. 7.
arcsin 0, 4, 0, 0001
8. ( ) funksiyani ( ) intеrvаldа Fur‟е qаtоrigа yoying. 9.
1 2
2 x x dx fdy 10.
2 2 2 ( ) , : 0, 1, 0, D x y dxdy D x x y y x
11. . 0 , 0 , 0 ; 1 5 3 8 : ) ( : ) 5 3 8 1 ( 2 z y x z y x V z y x dxdydz V
12. , xydl I bu yerda :
3 4 y x to„g„ri chiziqning koordinata o„qlari orasidagi kesmasi. 13.
, ) ( ) 2 ( ) ( dz y x dy x dx z y I
bu yerda -yoy: 25 2 2 2 z y x sferadagi ) 0
4 ; 3 ( M bilan
) 5 ; 0 ; 0 ( A ni birlashtiruvchi katta aylananing eng qisqa yoyi.
40 – variant 1.
1 2 12 1 n n n
2. 1 1 2
n n n
3. 1 1 1 n n
4. ∑ ( )
5. ∑
( )
6. ( ) ( )funksiyani Makloren qatoriga yoying. 7.
arcsin 0, 6, 0, 0001
8. ( ) {
Ushbu funksiyani Fur‟е qаtоrigа yoying. 9.
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