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Use the master theorem to give tight asymptotic bounds for the following recurrences. (a) T(n) = 2 T( n 2 ) + n (b) T(n)

Use the master theorem to give tight asymptotic bounds for the following recurrences.

(a) T(n) = 2 T( n 2 ) + n

(b) T(n) = 3 T( n 2 ) + cn

(c) T(n) = 27 T( n 3 ) + cn3

(d) T(n) = 5 T( n 4 ) + cn2

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