Question
please show all matlab codes for written/modified functions and scripts and given outputs for: -method of false position that computes approximations to x coordinates by
please show all matlab codes for written/modified functions and scripts and given outputs for:
-method of false position that computes approximations to x coordinates by writing a new script/modifying bisect.m
-determine the initial bracket for each intersection
-a separate ffalpos.m function file to compute an appropriate function whose roots will need to be approximated for the x coordinates of the intersections
thanks!
note: copy and paste bisect.m code below into matlab
BISECT.M code to be modified
%find root of f(x) = 0
%using Bisection Method
format long e
%chosen error tolerance (TOL)
TOL = .000001;
%choose max number of iterations
MAXIT = 50;
%initial bracket
a = ;
b = ;
%keep track of number of iterations
count = 0;
%record iterates - a col vector of MAXIT length
cits = zeros(MAXIT,1);
%evaluate func. at a and b
fa = fbisect(a);
fb = fbisect(b);
%stop if not appropriate interval
if sign(fa)*sign(fb) >= 0
return
end
%stop loop when error less than TOL or MAXIT reached
while abs(b-a)/2 >= TOL & count
%get midpoint(root estimate)
c = (a + b)/2;
%eval. func at midpoint
fc = fbisect(c);
%stop if f(c)=0
if fc == 0
break
end
%update count
count = count + 1;
%add to list of iterates
cits(count) = c;
%if sign change between a and c make c the new right endpt
if sign(fa)*sign(fc)
b = c;
%if sign chg betw c and b make c the new left endpt
else
a = c;
end
end
%update count
count = count + 1;
%get final midpoint(root estimate)
c = (a+b)/2;
%add to vector of iterates
cits(count) = c;
%display error estimate
error = abs(b-a)/2
%display vector of iterates
cits
%display number of iterates
count
1) Modify the code bisect m (provided in eLearning) to write a new script, falpos.m, that performs the Method of False Position You will only need to add/modify a few lines of code. Run your senipt to compute approximations to the x coordinates of any intersections of the ellipse (x-2) (-1)1-1 and the parabola y- (-2)1 +1. For each intersection, you will need to 4 determine an initial bracket to use in your script (a sketch of the graphs would be helpful here) Also, write a separate function m-fle, ffalpos.m, to compute an appropriate function whose roots you will need to approximate for the x coordinates of the intersections
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