Question: Please be clear, answer all parts and show all steps. Thank you Solve the following recurrence relations using any method (Repeated substitution, Charac- teristics functions,

 Please be clear, answer all parts and show all steps. Thank

Please be clear, answer all parts and show all steps. Thank you

Solve the following recurrence relations using any method (Repeated substitution, Charac- teristics functions, Generating functions, or any other method you like). Assume that T(n) is a constant forn 2 (a) T(n) = 2T () + n3 (b) T(n) = T (VA) vn + n (c) T(n)-2Tog (d) (Required for grad students in CS 5720, extra-credit for undergraduates) T(n) = 3T (3) + n log n

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