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For the complex number \( Z = \frac{a + jb}{a - jb} \), where \( a>0 \) and \( b>0 \). Which of the following statement(s) is/are true?
  • GATE IN - 2022
  • GATE IN
  • Engineering Mathematics
  • Solutions of non-linear algebraic equations
The Newton-Raphson method is applied to determine the solution of \( f(x) = 0 \) where \( f(x) = x - \cos(x) \). If the initial guess of the solution is \( x_0 = 0 \), the value of the next approximation \( x_1 \) is _________ (round off to two decimal places).
  • GATE IN - 2022
  • GATE IN
  • Engineering Mathematics
  • Solutions of non-linear algebraic equations