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Suppose f and g are two continuous functions on [a,b] and that f(a) < g(a), but f(b) > g(b). Show that f(x) = g(x) for some x E [a, b.

Suppose f and g are two continuous functions on [a,b] and that f(a) < g(a), but f(b) > g(b). Show that f(x) = g(x) for some x E [a, b.

Advanced Engineering Mathematics
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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Suppose f and g are two continuous functions on [a,b] and that f(a) < g(a), but f(b) > g(b). Show that f(x) = g(x) for some x E [a, b].
Transcribed Image Text:Suppose f and g are two continuous functions on [a,b] and that f(a) < g(a), but f(b) > g(b). Show that f(x) = g(x) for some x E [a, b].
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