Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop
ping criterion of &= 0.1%. Report your answer to 3 decimal places. What is the estimate for the root? What is the approximate relative error? %
1 answer:
Answer with explanation:
The equation which we have to solve by Newton-Raphson Method is,
f(x)=log (3 x) +5 x²

Initial Guess =0.5
Formula to find Iteration by Newton-Raphson method




So, root of the equation =0.205 (Approx)
Approximate relative error

Approximate relative error in terms of Percentage
=0.41 × 100
= 41 %
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