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

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Advance Math

  1. Explain the importance of error analysis in numerical methodswith suitable example.
  2. Out of Bisection method and secant method which one is betterand why? Solve one application based problem using thatmethod.
  3. Use Newton-Raphson Method to find the root of trigonometricfunction correct up to seven decimal places. (Trigonometricfunction should be complex)
  4. Solve one problem which is based on the application ofInterpolation.
  5. Using numerical differentiation solve one application basedproblem. (Use central difference approximation and problemmust include first order as well as second orderderivatives)
  6. Out of Trapezoidal rule and Simpson’s 1/3rd rulewhich one is better explain in detail. Also solve one applicationbased problem using that rule. Compare the exact and approximateresult to compute the relative error.

(I saw the same question already uploaded in the chegg but ineed other numbers )  

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