Using master theorem, give the asymptotic bounds for T(n) defined by the following recurrences. Then use the recursion tree to show that the answer you have obtained using the master theorem is correct. Need to show your work clearly indicating required constants, recursion tree expansion and derivation of the running time:. a) T(a)=3T(2/3)+ n
b) T(n) = 27T(n/3) +n

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Which of the following is not a way in which trees benefit the environment? a. they remove a significant amount of carbon dioxide from the atmosphere. b. they remove a significant amount of oxygen from the atmosphere. c. their roots hold soil in place, reducing rates of erosion. d. they remove ozone and particulates from the atmosphere. select the best answer from the choices provided a b c d

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