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3. Find the positive root of In(x²) = 0.7 20-points a) Using three iterations of the...


3. Find the positive root of In(x²) = 0.7 20-points a) Using three iterations of the bisection method with initial guesses of
3. Find the positive root of In(x²) = 0.7 20-points a) Using three iterations of the bisection method with initial guesses of Xi on method with initial guesses of x = 0.5 and Xu 2, and b) Using three iterations of the Secant method, with the same initial guesses as in .
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Sol In(2) = 0.7 Inca?)-07=0 f)%3DIn(x)-0.7 9) given =0.5 ond t=9 fexs)70 bisechion methud fe21)20; first iteration X2= 1+ Xub) fox) = Inlx)-07 2=05 72=2 fixg) = fix)=enco53)-0-1 en(2?)-0.7 +(xg)=0-6863 tix) = -2.0863 Secdnt method:- 1st itescetion f3d itesation Xy= Xy-}+Que) x tery)-tix) 1.497-0.5 - 497- D -1069 X 0.1069+2.0863 25=1:4484 %3D 5=1-4484 Root afder the third

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