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 stopping criterion of & = 0.1%. report your answer to 3 decimal places. what is the estimate for the root? what is the approximate relative error? %

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 %

37

step-by-step explanation: