Q1. Quadratic Interpolation Technique

Using Quadratic Interpolation Technique find the minimum of the function f(x) = x² - 4 Sin(x), using

iterated quadratic interpolation iterate from (0 to 7) assume the root lies between 0.2 and 1.8 and take

as initial points 0.2, 0.8 and 1.8.

Complete the table by:

1. Find the values of f(x₁), f(x₂), f(x3), for all the iteration from (0 to 7)

2. Calculate the x* the approximation to the optimum x*

3. Find the value of f(x*) for all the iteration from (0 to 7)

Iter

X1

x2

X3

f(x₁)

f(x₂) f(x3)

f(x*)