Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [0]. If we use secant method, with x₁ = 0.5 and x₁ = 0.6, to estimate the root of f(x) = cos x - 3x + 1, what is x, such that x, estimates the root of f(x) = cos x - 3x + 1 to six significant digits? (Answer must be in 8 decimal places)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. ƒ(x) has a root in
[o]. If we use secant method, with x₁ = 0.5 and x₁ = 0.6, to estimate the root of
f(x) = cos x - 3x + 1, what is x, such that x, estimates the root of
f(x) = cos x - 3x + 1
to six significant digits? (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 [o]. If we use secant method, with x₁ = 0.5 and x₁ = 0.6, to estimate the root of f(x) = cos x - 3x + 1, what is x, such that x, estimates the root of f(x) = cos x - 3x + 1 to six significant digits? (Answer must be in 8 decimal places)
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