The mechanics rule for approximating square roots statesthat a xn+1, wherexn+1 = 12xn +

Chapter 4, Problem 25

(choose chapter or problem)

The mechanics rule for approximating square roots statesthat a xn+1, wherexn+1 = 12xn + axn, n = 1, 2, 3,...and x1 is any positive approximation to a.(a) Apply Newtons Method tof(x) = x2 ato derive the mechanics rule.(b) Use the mechanics rule to approximate 10.

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