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.

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.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Question

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.

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