Tsu-2011 - ieeetsu

ipoveT albaToba imisa, rom SemTxveviTi sidide miiRebs mniSvnelobas,
romelic: a). naklebia 0.2-ze; b). naklebia 3-ze; g). ar aris naklebi 3-ze; d).
ar aris naklebi 5-ze.
20. SemTxveviTi sididis ganawilebis funqciaa:
0, x 0,
2
F( x) x , 0 x 1,
1, x 1.
ipoveT albaToba imisa, rom 4 damokidebeli dakvirvebis Sedegad SemTxveviTi
sidide 3-jer miiRebs mniSvnelobas (0.25, 0.75) Sualedidan.
21. ipoveT ganawilebis simkvrive, Tu ganawilebis funqciaa:
0, x 0,
F( x) sin x, 0 x
/ 2,
1, x
/ 2.
22. ipoveT ganawilebis simkvrive, Tu ganawilebis funqciaa:
0, x 0,
F( x) sin 2 x, 0 x / 4,
1, x / 4.
23. ipoveT ganawilebis funqcia, Tu ganawilebis simkvrivea:
sin x, 0 x
/ 2,
f()
x 0, sxvagan.
24. ipoveT ganawilebis funqcia, Tu ganawilebis simkvrivea:
x1/ 2,1 x
2,
f()
x 0, sxvagan.
25. ipoveT [2, 8] monakveTze Tanabrad ganawilebuli SemTxveviTi sididis
ganawilebis simkvrive da standartuli gadaxra.
pasuxebi:
1. 1/4; 1/16; 3/16. 2. 1/9; 8/27; 147/324; 1.75. 3. 1/15; 11/40. 4. 3/32; 1/2; 5/32; 5/16; 47/128.
1
5. 400; 4/5; 1/3; 1/9; 8/27. 6. 3; 1/9; 1/8. 7. 2.38; 2.73; 1.89. 8. 800. 9. --; 2 2, 2;
2
1 5
( 3 1)
4 3
. 10. --; 5 2, 0 . 11. 1. 12. 12; 2/3; 6M
8M
1 0. 13. 9/4, 27/80. 14.
2
2
8/3, 1/18. 15. --; 8/3, 32/9. 16. --; 2, 4/5. 17. --; 15, 75. 18. 720; --; 584, 19100. 19. 0; 0.5;
0.5; 0. 20. 0.25 ( Bi(4,0.5): P4
(3) 0.25 ). 21. cos x (0, /2]( x)
. 22. 2cos2 x (0, /4]( x)
. 23.
2
F( x) 0, x 0; 1cos x, 0 x / 2; 1, x / 2 . 24. F( x) 0, x 1;
1/ 2( x x)
,
1
1x
2; 1, x 2. 25.
[2,8]()
x ; 3 .
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