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Give asymptotically tight upper and lower bounds for T (n) in each of the following
algorithmic recurrences. Justify your answers.
A. T(n)
T(7n/10) + n
B. T(n)
C. T(n)
=
=
=
D. T(n) =
2
16T(n/4) + n²
2T(n/4) + √n
n² √n
4T(n/2) + n
E. T(n) =
3T((n/3) - 2) + n/2 (Hint: think about how you can use an assumption
about the importance of the -2 to apply the Masters Theorem)

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