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1. :
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3. fzero.
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1. .
- mat- f1 ()
function f1=fun1(x1); % fun1.m
f1=1.8*x1^4-sin(10*x1);
end;
- mat- ;
function pol_d=p_delen(a,b,E); % p_delen.m
L=b-a; %
while(L>E) % , ...
c=(a+b)/2;
if fun1(c)*fun1(a)>0 %
a=c; % "" "
else %
b=c; % "" "
end; %
L=b-a;
end; % end of while
pol_d=c; %
- mat- ;
function iter=prost_it(a,b,E); % prost_it.m
ic=0; %
while(fun1(a)*fun1(b)<0) % , ,...
if (fun1((a+b)/2)<0) %
a=(a+b)/2; % "" "
else %
b=(a+b)/2; % "" "
end; %
ic=ic+1; %
if (ic>100) % 100
break; %
end; %
if (abs(a-b)<E) %
break; %
end; %
end; % end of while
- iter=a; %
- mat- .
function graf=grafi(a,b,n); % grafi.m
dx=(a+b)/n;
for i=1:n %
x(i)=a+(i-1)*dx; %
y(i)=fun1(x(i)); %
i=i+1;
end; %
plot(x,y) %
grid on
- . , . .
- y(x)=f1(x) XY . ()=0. , .
- , fzero.
: x= fzero(fun, x0, options, P1, P2, )
- .
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% 1 uravnen.m
%
clc
clear
n=30;
a=0.12; % ""
E=10^(-5); %
b=2; % ""
iter1=prost_it(a,b,E); %
pol_d1=p_delen(a,b,E); %
fz=fzero('fun1',[a,b]); % fzero
%
fprintf('\n\t \n\t ')
fprintf('\n\t\t = %f', iter1)
fprintf('\n\t\t = %f',pol_d1)
fprintf('\n\t\t fzero = %f',fz)
%
grafi(a,b,n);
%
Result=strcat('x1=',num2str(iter1),' x2=',num2str(pol_d1),' x3=',num2str(fz));
%
title(Result)
| / | ||||
| 1. | 3 sin Ö x + 0,35x 3,8 = 0 | [ 2; 3] | 2,2985 | 0,0001 |
| 2. | 0,25x3 + x 1,2502 = 0 | [ 0; 2] | 1,0001 | 0,0001 |
| 3. | 
| [ 0,4; 1] | 0,7376 | 0,0001 |
| 4. | 
| [ 0; 0,85] | 0,2624 | 0,0001 |
| 5. | 0,1 x2 x ln x = 0 | [ 1; 2] | 1,1183 | 0,0001 |
| 6. | tg x 1/3 tg3 x + 1/5 tg5 x 1/3 = 0 | [ 0; 0,8] | 0,3333 | 0,0001 |
| 7. | 
| [ 0; 1] | 0,5629 | 0,0001 |
| 8. | 3 x 4 ln x 5 = 0 | [ 2; 4] | 3,2300 | 0,0001 |
| 9. | cos 2/x 2 sin 1/x + 1/x = 0 | [ 1; 2] | 1,8756 | 0,0001 |
| 10. | 
| [ 0; 1] | 0,7672 | 0,0001 |
| 11. | ex e-x 2 = 0 | [ 0; 1] | 0,8814 | 0,0001 |
| 12. | sin (ln x) cos (ln x) + 2 ln x = 0 | [ 1; 3] | 1,3749 | 0,0001 |
| 13. | x 2 + sin 1/x = 0 | [ 1,2; 2] | 1,3077 | 0,0001 |
| 14. | ex + ln x 10x = 0 | [ 3; 4] | 3,5265 | 0,0001 |
| 15. | 
| [ 1; 2] | 1,0804 | 0,0001 |
| 16. | 1 x + sin x ln (1 + x) = 0 | [ 0; 1,5] | 1,1474 | 0,0001 |
| 17. | 3 x 14 + ex e-x = 0 | [ 1; 3] | 2,0692 | 0,0001 |
| 18. | 
| [ 0; 1] | 0,5768 | 0,0001 |
| 19. | x + cos (x0,52 +2) = 0 | [ 0,5; 1] | 0,9892 | 0,0001 |
| 20. | 3 ln(2 x) +6 ln x 5 = 0 | [ 1; 3] | 1,8832 | 0,0001 |
| 21. | sin x2 + cos x2 - 10 x = 0 | [ 0; 1] | 0,1010 | 0,0001 |
| 22. | x2 ln(1 + x) 3 = 0 | [ 2; 3] | 2,0267 | 0,0001 |
| 23. | 2x sin x cos x = 0 | [ 0,4; 1] | 0,6533 | 0,0001 |
| 24. | 
| [ -1; 0] | -0,2877 | 0,0001 |
| 25. | ln x x + 1,8 = 0 | [ 2; 3] | 2,8459 | 0,0001 |
| 26. | x tg x 1/3 = 0 | [ 0,2; 1] | 0,5472 | 0,0001 |
| 27. | tg x/2 ctg x/2 + x = 0 | [ 1; 2] | 1,0769 | 0,0001 |
| 28. | 0,4 + arctgÖ x x = 0 | [ 1; 2] | 1,2388 | 0,0001 |
| 29. | 
| [ 0; 1] | 0,4538 | 0,0001 |
| 30. | 0,6 * 3x 2,3 x 3 = 0 | [ 2; 3] | 2,4200 | 0,0001 |
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