Numercial Method using MATLAB

a. False Position Method Determine the real root of x ^(3.5) = 80 with the false position method to within ?_a = 0.01%. Use initial guesses of 1.0 and 5.0.

- save the real root on HW3_7.dat file

- save the estimated error ?a on HW3_8.dat file

b. Fixed Point Method

Use simple fixed point iteration to locate the root of f₄(x) = 2 sin(sqrt(x)) ? x. Use an initial guess of x₀ = 0.5 and iterate until ?_a ? 0.01%.

- save the root on HW3_9.dat file

- save the estimated error ?_a on HW3_10.dat file

Thanks for helping me ( MUST BE SOLVED WITH MATLAB)