Question

1. Consider the function ( ) 2 3 f x  x 
a. Show that f (x) has a root in the interval [1, 2].
b. Compute an approximation to the root by taking 4 steps of the bisection method.(BY HAND)
c. Repeat, using Newton's method. Take x0=1.5 for the starting value.
For each method, present the results in the form of table:
Column1:n (step)
Column2:xn (approximation)
Column3: ( ) n f x
Column4:| xn - xn-1 | (error)

Answer 1

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