Find the fourth iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 2x2 using Newton's Method with an initial guess value of X = 0.2. Round off your final answer to nine...

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Extracted text: Find the fourth iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 2x2 using Newton's Method with an initial guess value of X = 0.2. Round off your final answer to nine decimal places but do not round off on preliminary calculations.