Consider the function f(x) = cos x - 3x + 1. Since f (0)f() <0, f(x) has a root in [0, 1]. If we use secant method, with x = 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)
Consider the function f(x) = cos x - 3x + 1. Since f (0)f() <0, f(x) has a root in [0, 1]. If we use secant method, with x = 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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc22c4fa8-bc7a-472a-b20f-38a0cb7eb4cb%2F53bec887-46c4-442a-b9d8-56f11b05965b%2Fksxqr7o_processed.png&w=3840&q=75)
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 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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