?Explain why, if f is continuous over [a, b] and is not equal to a constant, there is at
Chapter 5, Problem 201(choose chapter or problem)
Explain why, if f is continuous over [a, b] and is not equal to a constant, there is at least one point \(M \in[a, b]\) such that \(f(M)=\frac{1}{b-a} \int_{a}^{b} f(t) d t\) and at least one point \(m \in[a, b]\) such that \(f(m)<\frac{1}{b-a} \int_{a}^{b} f(t) d t\).
Text Transcription:
M in[a, b]
f(M)=1/b-a int_a^b f(t) dt
m in[a, b]
f(m)<1/b-a int_a^b f(t) dt
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