Suppose f(1) is continuous everywhere, and has the following values: 10 20 30 40 f(z) -4 9. 11 3. 7 What is the minimum number of times you would expect f(r) = 6 in the interval [0, 40?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose \( f(x) \) is continuous everywhere, and has the following values:

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 10 & 20 & 30 & 40 \\
\hline
f(x) & -4 & 9 & 11 & 3 & 7 \\
\hline
\end{array}
\]

What is the minimum number of times you would expect \( f(x) = 6 \) in the interval \([0, 40]\)?

[Your answer here]
Transcribed Image Text:Suppose \( f(x) \) is continuous everywhere, and has the following values: \[ \begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 10 & 20 & 30 & 40 \\ \hline f(x) & -4 & 9 & 11 & 3 & 7 \\ \hline \end{array} \] What is the minimum number of times you would expect \( f(x) = 6 \) in the interval \([0, 40]\)? [Your answer here]
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