EE 221 Computing for Engineers Homework #15 Problem #2 (30 points): a) Let the m

Question

EE 221 Computing for Engineers Homework #15

Problem #2 (30 points):

a) Let the mathematical function f(x) be defined as:

??(??) = exp(?0.5??) cos(10??)

Write a Matlab function called Bisection1 that would find the zero based on a passing input arguments x0 & x1 which defines the initial interval [x0,x1]

The function should starts as:

function x=Bisection1(x0) % enter your code here

end

Submit the function as a .m file. Apply different initial interval to find the zero [0, 0.1].

Hint: the while loop should have the following statement: while((abs(fx)>delta_f)) %where n is the iteration number end

Explanation / Answer

here is the code function [ r ] = bisection( f, a, b, N, eps_step, eps_abs ) if ( f(a) == 0 ) x = a; return; elseif ( f(b) == 0 ) x = b; return; elseif ( f(a) * f(b) > 0 ) error( 'f(a) and f(b) do not have opposite signs' ); end for k = 1:N % Find the mid-point c = (a + b)/2; if ( f(c) == 0 ) r = c; return; elseif ( f(c)*f(a) < 0 ) b = c; else a = c; end if ( b - a

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