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2008 .

1.

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( 1) ( 2). . - .

 

1:

1. : min(x2 + y2,y2+z2) 4

2. :

3. , , .

4. () , , D.

5. .

6. , ( ).

7. .

8. , , (,), , 0.

9. . ( 0 ).

10. .

11. .

12. N, , N .

13. , , .

14. : A B. , , , .

15. :

16. , . , , .

17. x f:

1, x < 0,

0, x = 0,

+1, x > 0.

18. , 999 999. " ", " ", " ".

19. , 1 9999. " ", " ".

20. , : + b, ab, .

21. , .

22. .

23. . , , .

 

 

24. :

25. : max(x +y+z, xyz) + 3

26. X, Y , .

27. X, Y , .

2:

1. Y = xSinx/Cosx; A = -1.6, B = 1.6, H = 0.2

2. Y = tgx2 + ctgx2; A = -2, B = 2, H=0.5

3. Y = Ln(x2 -9)/x; A = -6, B = 6, H = 1

4. Y = xLn(Cosx); A = -3, B = 3, H = 0.3

5. , . .

6. 25 125.

7. , , , .

8. Y = tgx/x; A = -2, B = 2, H = 0.2

9. Y = Sinx/(x-5); A = -6, B = 6, H = 0.5

10. Y = x/(1-Cosx); A = -4, B = 4, H = 0.5

11. Y = 1/xtg(x/2); A = -3, B = 3, H = 0.5

12. , 133 125, 134 111.

13. Y = 1/(x2 -3); A = -4, B = 4, H = 0.5

14. Y = 1/Ln(x2/8); A = -3, B = 3, H = 0.6

15. , 100.

16. , : 12= 1, 22 = 1 + 3, 2 = 1 + 3 + 5, 42 =1 + 3 + 5 + 7, 2 =1 + 3 + 5 + 7 + 9 +... + (2n-1).

17. Y = 1/x ctg(x/3); A = -4, B = 4, H = 0.5

18. Y = Ln(16-x2)/x ex; A = -6, B = 6, H = 0.5

19. Y = x tg x/ Lnx; A = -3, B = 3, H = 0.5

20. , N.

21. , 13.

22. Y = x2Ln|x|/Sinx; A = -2, B = 2, H = 0.2

23. Y = x/Sinx+ Ln(x2 - 4); A = - 6, B = 6, H = 0.5

24. , 4 ( ).

25. , 20, 100, 3 2, 4 8.

26. Y = x2Cosx/Ln(x2-1); A = -2, B = 2, H = 0.1

27. Y = xSinx/Ln(x2-9); A = -5, B = 5, H = 0.5

28. Y = x2/(Cosx+Ln(x2-1)); A = -2, B = 2, H = 0.2

29. Y = (x2+ tgx)/Ln(x2-4); A = -4, B = 4, H = 0.8

30. Y = (x2- Cosx)/xLn(x2-1); A = -2, B = 2, H = 0.2.

  1. .. " ". - : , 1999.
  2. .. . . - .: , 2005.
  3. Turbo Pascal. http://pascal.sources.ru/


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