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Martin, Physicist

Category: Pre-Calculus

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Use the master method to give tight asymptotic bounds (big-)

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Use the master method to give tight asymptotic bounds (big-) for the following recur- rences. Show your work and specify what case of the master method you have applied. If you can't apply any of the three master method cases state the reason why.

a. T(n) = 2T(n=2) + n lg n b. T(n) = 16T(n=4) + n! c. T(n) = 3^nT(n=2) + n^8 d. T(n) = 3T(n=3) + n=2 e. T(n) = 3T(n=3) +square root(n)

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