Please write down the answers (show the answer) 1- Determine the first real root of f(x) = 1.7x^4 - 2.5x^3 - 5.0x^2 + 7.2x - 1.2 using both the bisection method and the false position method until the two methods give approximately the same answer. Use the same initial guess for both and calculate the error at each iteration. Graph the error of the two different methods and comment on the convergence rate. 2- Write an algorithm out in plain language (not MATLAB), but with mathematical notation that incrementally searches for roots of a function. Consider both the sign of the function and the sign of the first derivative. .

1. Please write down the answers (show the answer)
1- Determine the first real root of f(x) = 1.7x^4 - 2.5x^3 -
5.0x^2 + 7.2x - 1.2
using both the bisection method and the false position method
until the two methods give approximately the same answer. Use
the same initial guess for both and calculate the error at each
iteration. Graph the error of the two different methods and
comment on the convergence rate.
2- Write an algorithm out in plain language (not MATLAB), but
with mathematical notation that incrementally searches for roots
of a function. Consider both the sign of the function and the
sign of the first derivative.