(b) Use Newton's Method to estimate the value of arctan(1.02). It is sufficient to compute the first iterate x1 (i.e. apply Newton's Method once). (Hint:
(b) Use Newton's Method to estimate the value of arctan(1.02). It is sufficient to compute the first iterate x1 (i.e. apply Newton's Method once). (Hint: The exact value of arctan(1.02) is the root of f(x) = tan(x) - 1.02 nearest 0 = 1/4.) f(In) Newton's Formula: Enti = In- f' (In)
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