5. Show that cos x = x has a solution in the interval [0, 1]. Hint chow that f (x) = x cos x has a zero in [0, 1].

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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5. Show that cos x = x has a solution in the interval [0, 1]. Hint:
Show that f (x) = x – cos x has a zero in [0, 1].
Transcribed Image Text:5. Show that cos x = x has a solution in the interval [0, 1]. Hint: Show that f (x) = x – cos x has a zero in [0, 1].
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