you are using Master Method, provide the case of the Master Method that you applied. a. T(n) = 49T () + n* lgn b. T(n) = 4T (4) + n!o934

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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**4 Problem Solving**

14. (5 points each, Total 10 points) Solve the following recurrences. Give tight, i.e. Θ(·), bounds. If you are using the Master Method, provide the case of the Master Method that you applied.

a. \( T(n) = 49T\left(\frac{n}{7}\right) + n^4 \lg n \)

b. \( T(n) = 4T\left(\frac{n}{3}\right) + n^{\log_3 4} \)
Transcribed Image Text:**4 Problem Solving** 14. (5 points each, Total 10 points) Solve the following recurrences. Give tight, i.e. Θ(·), bounds. If you are using the Master Method, provide the case of the Master Method that you applied. a. \( T(n) = 49T\left(\frac{n}{7}\right) + n^4 \lg n \) b. \( T(n) = 4T\left(\frac{n}{3}\right) + n^{\log_3 4} \)
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