numerical analysis 1

i want you to answer q1, q2 and q3 with MATLAB program . i want you to show me your work at MATLAB before and afret the code

xova
+
x²=a .
fex)=x²-azo
Q.1. Consider the fixed point iteration (k+1)
(174
er me) to compute va, a > 0. Show
analytically that the order of convergence is two.
Q.2. (MATLAB) Write a code for Q.1 for a = 2. Generate the following table with your code
order alle divid
k
elk) = g(t) – √2 log de flog
0
2.0000
He
(8)
1
2
3
4
5
6
If we campet
9[*]
Q.3. (MATLAB) Write a code for In+1 = f(xr) = 1 – ar Start with a value In € (-1,1). Plot
on horizontal axis the parameter a from 0 to 2 and on vertical axis In. Plot about 200-800
iterations. What do you obscrve? Explain in details.