Use Neville's method to approximate \/3 with the following functions and values. a. /(x) 3 X and the values xq = 2, xj = I, X2 0, X3 1, and X4 2. b. /(x) = ^/x and the values xq = 0, xi = I, X2 = 2, X3 = 4, and X4 = 5. c. Compare the accuracy ofthe approximation in parts (a) and (b).

March 2125, 2016 Section 3.2 Suppose f’(x) >0 for all x on an open interval I. Suppose x < x i1 I. 2 en f(x) is continuous on [x1 x2] and it is differentiable on (x 1 x 2 2 x ¿ So by Mean Value Theorem there is c ¿ f( )1f ¿ ' ϵ ( 1x S2)hthen f (c)=¿ Which implies Thus f(x)< 0 is increasing on I. By similar arguments, we can show that f’(x)< 0 on an open interval f is decreasing on I. And if f’(x)=0 on an open interval I, then f(x) is constant on I. Theorem If f’(x)=