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Solve the following recurrences by the master theorem. 1. T(n) = 9T(n/3) + n + log n. 2. T(n) = 3T(n/4) + n log n.

Solve the following recurrences by the master theorem.

1. T(n) = 9T(n/3) + n + log n.

2. T(n) = 3T(n/4) + n log n.

3. T(n) = 8T(n/2) + (n + 1)^2 10n.

4. T(n) = T(2n/3) + 1.

5. T(n) = ( 7) T(n/2) + n^( 3) .

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