Given f(x) = 3 cos x² + 5x – 5. (a) Prove that f(x) = 0 has at least one root in the interval [0, ]. (b) Then, use the bisection method to approximate the root of the equation. Iterate until |f (c;)| < 0.05. Use 4 decimal places in all calculation.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
icon
Related questions
Question

Numerical method

Do your calculation in 4 decimal places unless specified in the
question.
Given
f (x) = 3 cos x² + 5x – 5.
-
(a)
Prove that f (x) = 0 has at least one root in the interval [0, 5
(b) Then, use the bisection method to approximate the root of the equation.
Iterate until |f (c;)| < 0.05. Use 4 decimal places in all calculation.
Transcribed Image Text:Do your calculation in 4 decimal places unless specified in the question. Given f (x) = 3 cos x² + 5x – 5. - (a) Prove that f (x) = 0 has at least one root in the interval [0, 5 (b) Then, use the bisection method to approximate the root of the equation. Iterate until |f (c;)| < 0.05. Use 4 decimal places in all calculation.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning