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In Theorem 6.17 is it true that if there is an augmenting path P with edge set E(P) for a matching M, then M?E(P) is a larger matching than M?
Theorem 6.17
A matching M in a graph is of maximum size if and only if M has no augmenting path. Further, if a matching M has an augmenting path P with edge set E(P), then we can create a larger matching by deleting the edges in M ∩ E(P) from M and adding in the edges of E(P) - M.
Determine the Fourier series for the function. Sketch both the expected Fourier series graphs using Mathcad to check solution.
what a subjects resting heart rate would be, given the number of hours they exercise per week. We measured the resting heart rate and average number of hours exercised per week for 4 subjects, resulting in the data below:
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The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3. What is the common ratio in this sequence?
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Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.
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