If f is continuous on [-1, 1] and f(x)dx = 0, then there exists some ce [-1,1] for which f(c) = 0.
If f is continuous on [-1, 1] and f(x)dx = 0, then there exists some ce [-1,1] for which f(c) = 0.
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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Determine if the following statement is true. Justify your answer briefly.
![If f is continuous on
[-1, 1] and f f (x)dx = 0, then there exists some cE
E[-1, 1] for which
f(c) = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdcd8e143-eab2-4c0d-bb56-a9e758e452af%2F58b3a218-66ae-4060-aa4f-cbee3d9c7f7f%2F99m3ahp_processed.png&w=3840&q=75)
Transcribed Image Text:If f is continuous on
[-1, 1] and f f (x)dx = 0, then there exists some cE
E[-1, 1] for which
f(c) = 0.
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