Estimate = cubed root of 4 numerically by solving f(x) = 0 in [a, b] for some suitably chosen f, a and b. 1.

Estimate τ = cubed root of 4 numerically by solving f(x) = 0 in [a, b] for some suitably chosen f, a and b. 

1. What f, a, and b have you chosen for this problem? 

2. Show that f has a zero in [a,b]. 

3. Use 6 steps of the bisection method to estimate cubed root of 

4. You may use a computer program to do this, but please note that in your solution. 

4. Give an upper bound for the error |τ − x6|.