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Solve the following recurrences, where T(1) = 1 and T(n) for n 2 satisfies: (a) T(n) = 4T(n/3) + n (b) T(n) = 4T(n/3) +

Solve the following recurrences, where T(1) = 1 and T(n) for n 2 satisfies:

(a) T(n) = 4T(n/3) + n

(b) T(n) = 4T(n/3) + n2

(c) T(n) = 9T(n/3) + n2

Note: You must solve the recurrence. You may **NOT use the Master Theorem** for this question. You may give big-oh bounds once you have solved the recurrence.

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