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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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COURSE: Mathematical Analysis/
TOPIC: Continuity + Connectedness
![Let f(x), g(x) be continuous on the interval [a, b]. Suppose f(a) < g(a) and
f (b) > g(b). Prove there is a point p in the interval [a, b] where f(p) = g(p).](https://content.bartleby.com/qna-images/question/baa9c753-6b68-41b4-8837-61aa8aa0a19b/98e8d625-f501-4679-aac9-f38220d0e94e/ap4k49f_thumbnail.png)
Transcribed Image Text:Let f(x), g(x) be continuous on the interval [a, b]. Suppose f(a) < g(a) and
f (b) > g(b). Prove there is a point p in the interval [a, b] where f(p) = g(p).
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