lab 1 analiza numerica

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Contine lab 1 la obiectul analiza numerica

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Laborator 1MetodaBisectiei1..Xa=1a1=1a2=1a3=-1000

81865-480

91082-262

101101010

f(x)0,01x(9,10]f(9)=-262f(10)=10a=9 si b=10x1===9, x1-a=9,5-9=9>f(x1)=f(9,5)=+9,5-1000=875,375+9,5-1000=-183,12f(x1)*f(b)=f(9,5)*f(10)0x1.b=[9,5;10]x2==9,75x2-x1=9,75-9,5=0,25>f(x2)=f(9,75)=9,75+9,75-100-=926,8593+9,75-1000=-63,3907f(x2)*f(x1)=f(9,5)*f(9,75)>0x3===9,875x3-x2=9,875-9,75=0,125>f(x3)=f(9,875)=(9,875)+9,875-1000=-27,158f(x3)*f(x2)=f(9,875)*f(9,75)>0x4===9,9375x4-x3=9,9375-9,875=0,0625>f(x4)=f(9,9375)=+9,9375-1000=981,3669+9,6875-1000=-8,6956f(x4)*f(x3)=f(9,9375)*f(9,875)>0x5===9,96875x5-x4=9,96875-9,9375=0,0312>f(x5)=f(9,96875)=+9,96875-1000=990,6393+9,96875-1000=0,6228f(x5)*f(x4)=f(9,96875)*f(9,9375)Solutia este 9,9666

2.MetodaBisectiei+x-1000-0 usescrt;consteps=1.0e-3;vara,b,x:real;function f(x:real):real;beginf:=x*x*x+x-1000end;procedure bisect(a,b:real;var x:real);var n:integer;beginif abs(f(a))