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I need some help answering these questions. I am unsure if I am doing them right and want to make sure Exercises Answer the following

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Exercises Answer the following using 5 iterations of the bisection method. Exercises for 7.2 Bisection Method P7.1 Find the root of the polynomial p(x)=(x+5)(x2.5)(x+1)(x1) given the interval [4.0,0.75]. What is the relative error? P7.2 Solve the equation for x given that 1x5 : lnx=cosx Answer the following using 5 iterations of Newton's method: Programming Assignment - Newton-Horner Method Algorithm 3 Dekker's method, developed in 1969, describes an efficient and stable root-finding algorithm with near-quadratic convergence. Dekker's Method input: function f and interval [a,b] initialize: b1=a0=a,b0=b for n=1 to N : m=2an1+bn1 if f(bn1)=f(bn2) then s=m : else s=bn1f(bn1)f(bn2)bn1bn2f(bn1) if s[bn1,m] then bn+2=s else bn+2=m if f(an1)f(bn+2)

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