Write a program that uses the bisection method to find the root of a given function on a given interval, and apply this program to find the roots of the functions below on the indicated intervals. Incorporate into your program the error estimate formula derived in class, to determine a priori the number of steps necessary for the root to be accurate to within a given absolute error tolerance e$.$g$.$ choose $106.$ Remember that the error estimate is conservative and might choose little more iterations.

f$($x$)=$x$2$sinx$,[$a$,$b$]=[0,\backslash$pi $]$ f$($x$)=12$xe$$x$/2,[$a$,$b$]=[0,2]$

Note: use Matlab$$s $$sign$$ function to determine if a real number is positive or negative. Make sure your code checks if you got $$lucky$$ by testing the endpoints.