I need help in numerical methods coding in Matlab!

f(x)=1/8(35x^4-30x^2+3)

This Function requires a solution for f(x) =0. You are requested to perform the following tasks:

Design a Matab script to solve f(x) =0 for x using the following numerical methods:

· Fixed point solution

· Newton Method

Your Matlab script needs to perform the following:

1. Plotting the function f(x) and determine the value x which satisfy f(x) =0 from the plot.

2. Implementing the fixed point algorithm and the Newton method for solving f(x)=0 using a for loop which calculates the value of x at each iteration.

3. Computing the absolute error at each iteration, plotting the value of x versus iteration number, plotting the error versus the iteration number and any other plots you feel necessary to show your results.

4. Repeating the above steps for a different initial value.

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