Newton's method for finding the root of g(x) = x - R/r for any positive real number R is (A) x(k+1) = p(k) _z(k) -R(z(k) ) -2 I(k) (B) x(k+1) _ 3Rx(k) (Er(k) )342R (C) x(k+1) = p(k) _ 1+2R(x(k))-3 r( *) -R(x(4))-2 (D) x(k+1) _3R(x() )341 (a (k) )3+2R (E) none of the above O (A) O (B) O (C) O (D) O (E)If 53(0) 2 0.1 and gm) 2 1.0, what is the minimum number of steps of the bisection method needed to determine the root of 9(55) 2 333 + 355 1 with an error of at most % ' 108? The minimum number of steps is: (A) 13 (B) 21 (C) 27 (D) 32 (E) none of the above 0 (A) O (s) O (C) O (D) O (E)