Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () <0. f(x) has a root in - [o]. If we use Newton-Raphson method, with x₁ = 0.5, what is the error when x₂ is used to estimate the root of f(x)? (Answer must be in 8 decimal places)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in
[0]. If we use Newton-Raphson method, with x₁ = 0.5, what is the error when x₂:
used to estimate the root of f(x)? (Answer must be in 8 decimal places)
Transcribed Image Text:Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in [0]. If we use Newton-Raphson method, with x₁ = 0.5, what is the error when x₂: used to estimate the root of f(x)? (Answer must be in 8 decimal places)
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