Question

number 3

Huu um poucou UL ue selat Method . Solve with Io = 0.5 to ég < 0.01% using Secant Method. (Provide your code for the Secant Method) • Plot the error e as a function of iteration. 3. Given f(x) = 25 - 504 + 1 - 6x2 - 7x + 10, find the roots using (a) a root finding routine and (b) a polynomial root finding routine. (Provide your code) ere to search

Answer 1

`Hey,

Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

clc%clears screen
clear all%clears history
close all%closes all files
format long
f=@(x) x.^5-5*x.^4+x.^3-6*x.^2-7*x+10;
R=findroots(-2:0.1:6,f,1e-5)
disp('Roots using roots command is');
roots([1,-5,1,-6,-7,10])
function R=findroots(x,f,tol)

R=[];
a=x(1);
count=1;
for kk=1:length(x)
if(f(a)*f(x(kk))<0)
b=x(kk);
iter = 0;
  
if f(a)*f(b)>=0

disp('No Root')

else

prev = (a+b)/2;
p=a;
while (abs(f(p))>tol)
prev=p;

iter =iter+ 1;

p = (a+b)/2;

if f(p) == 0
  
break;

end

if f(a)*f(p)<0

b = p;

else

a = p;

end
if(iter==100)
disp('the required accuracy is not reached in 50 iterations');
end
end

end
R(count)=p;
count=count+1;
a=x(kk);
else
a=x(kk);
end

end
end

Kindly revert for any queries

Thanks.