, , . (, r s), , .
r s=r2(-sin)/2.
r s.
x-sin x 2s/r2=0 (1.6)
0<x<2p 0<s<pr2.. (1.6) - .
. , , .
.
1.6.1. .
1.6.2 ?
1.6.3 ?
1.6.4 ?
1.6.5 ?
1.6.6 ?
1.6.7 ?
1.6.8 ?
. , f(x)=0. . ( ), , ( ). , , , . , MS Excel, (C++ Pascal).
1. x+ln(x+0.5)-0.5=0, [0, 2];
2. x5 x - 0.2=0, [1, 1.1];
3. x4 + 2x3 x-1=0, [0, 1];
4. x3 0.2x2 0.2x-1.2=0, [1, 1.5];
5. x*2x 1=0, [0, 1];
6. x2 sin5x = 0, [0.5, 0.6];
7. 5x 8* ln x = 8; (4.32);
8. 3 x2 cos 2x 1 = 0;
9. 2 ln x 1/x +0.5=0;
10. x2 cos 2x + 1=0, [0, pi/2];
11. 2 x cos x = 0, [0, pi/2];
12. 0.9 x sin √ x 0.1=0, [0, 1.5];
13. tg x = 0, [0, pi/4];
14. (4+x2) (ex e - x)-18, [1.2, 1.3];
15. + 1 = cos(0.5x);
16. x*2x-1=0, [0,1];
17. x2-1.3*ln(x+0.5)-2.8*x+1.15=0, [2.1, 2.5];
18. x4+cos x -2=0, [0, 2];
19. tg x x =0, (4.67);
20. 1.8*x4 sin 10*x = 0, (0.22);
21. x sin x = 0.25, (1.17);
22. 3*x sin x-7=0;
23. x cos x -1 =0;
24. x2 sin5x = 0, [0.5, 0.6];
25. 2 x cos x = 0, [0, pi/2];
2.
: , .
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. , , , , - . , , , . , , , , . , () .
1. .
n ; y0 y1, yn -- .
2. .
I= f(x)dx= (y0+2y1++2yn-1+yn),
n- ; y0, y1, yn .
3.
I= f(x)dx= (y0+4y1+2y2++4y 2n-1+y 2n),
2n ; 0, 1, 2n .
, , , , . .
, h2, h4, h . h .
, =s() 0 pi/2.
s()dx=sin(pi/2) -sin(0)=1 (2.1)
:
1. ;
2. ;
3. ( , );
4. .