Explain the importance of error analysis in numerical methods with suitable example.      Out of Bisection...

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Advance Math

  1.      Explain the importance of erroranalysis in numerical methods with suitable example.
  2.      Out of Bisection method and secantmethod which one is better and why? Solve one application basedproblem using that method.
  3.      Use Newton-Raphson Method to find theroot of trigonometric function correct up to seven decimal places.(Trigonometric function should be complex)
  4.      Solve one problem which is based onthe application of Interpolation.
  5.      Using numerical differentiation solveone application based problem. (Use central differenceapproximation and problem must include first order as well assecond order derivatives)
  6.     Out of Trapezoidal rule and Simpson’s1/3rd rule which one is better explain in detail. Alsosolve one application based problem using that rule. Compare theexact and approximate result to compute the relative errore

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