The Bisection Method using MatLab The program hw2_bisec_inc.m has the structure

Question

The Bisection Method using MatLab

The program hw2_bisec_inc.m has the structure and some parts of a program implementing the bisection method, but it is incomplete. Replace all the ?? with the appropriate entries and rename your program hw2_bisec.m. Verify that you program works by solving the following equations to the required accuracy. Write a different .m file for each function below and state explicitly what interval you are using to initiate the bisection method. (a) f (x) = sin x - cos x = 0 to within 10^-2. (b) f (x) = 5x^2 - 2e^x = 0 to within 10^-3. (c) f (x) = log x - x = 0 to within 10^-3.

Explanation / Answer

a=input('enter the starting point of the interval ');
b=input('enter the ending point of the interval ');
err=input('enter the tolerance limit ');
f=input('enter the function ');
err1=1;

while err1>err
c=(a+b)/2;
fa=feval(f,a);
fb=feval(f,b);
fc=feval(f,c);
if fc>0
a=c;
else
b=c;
end
  
  
err1=abs(fc-0);
end
x=['the answer is ',num2str(c)];
disp(x)
  

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