6 (b). Let 0 < f(x) < cos x and 0 < g(x) < sin x for x E I. Show that there is ro E I such that f(ro) = g(xo). Assume that f, g are continuous functions on the interval I = [0, T/2].

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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6 (b).
Let 0 < f(x) < cos x and 0 < g(x) < sin x for x E I. Show that there is ro E I such that
f(ro) = g(xo).
Assume that f,g are continuous functions on the interval I = [0, T/2].
Transcribed Image Text:6 (b). Let 0 < f(x) < cos x and 0 < g(x) < sin x for x E I. Show that there is ro E I such that f(ro) = g(xo). Assume that f,g are continuous functions on the interval I = [0, T/2].
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