Newton-Raphson method is used to compute a root of the equation x2-13=0 with 3.5 as the initial value. The approximation after one iteration is
(A)
3.607
(B)
3.667
(C)
3.676
(D)
3.575
Answer: (A)
Explanation:
In Newton-Raphson\’s method, We use the following formula to get the next value of f(x). f\'(x) is derivative of f(x).
f(x) = x2-13
f\'(x) = 2x
Applying the above formula, we get
Next x = 3.5 - (3.5*3.5 - 13)/2*3.5
Next x = 3.607
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