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Using proof by substitution Give asymptotic upper and lower bounds for T (n) in each of the following recurrences. Assume T (n) is constant for

Using proof by substitution

Give asymptotic upper and lower bounds for T (n) in each of the following recurrences. Assume T (n) is constant for n 2. Make your bounds as tight as possible, and justify your answers.

a. T (n) = 2T (n/2) + n^4

b. T (n) = T (7n/10) + n

c.T (n) = 16T (n/4) + n^2

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