Question: NUMERICAL ANALYSIS Given the function f(x) = 2x - cos(x) defined on the interval [-2, 2]. The angle is in radain. a) Start with initial

NUMERICAL ANALYSIS

Given the function f(x) = 2x - cos(x) defined on the interval [-2, 2]. The angle is in radain.

a) Start with initial value x = 0.05. Find the approximated root after 5 iterations, using FIxed Point iteration method. Show your result for 5 iterations.

b) Start with initial value x = 0.05. Use the Newton-Raphson method to find the root of the function f(x). Stop running after 5 iterations.

c) Start with x0 = -2 and x1 =0.05 and find the root of the function using the Secant Method. Stop running after 5 iterations.

d) Based on your results in a), b), and c) above, which one may converge first?

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