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Given the following table of functions of n: function n = 2 n = 5 n = 10 n = 15 n = 30 n

Given the following table of functions of n:

function

n = 2

n = 5

n = 10

n = 15

n = 30

n3.5

log5 n3

2n-2

(0.8)-2n

What minimum positive integer n0 allows n3.5 to be big Oh of (0.8)-2n with a constant c approximately 1.0? That is: n3.5 (0.8)-2n, for all n n0? Is this possible at all? (Can use the table below, if convenient).

n (the n0 value)

n3.5

(0.8)-2n

(0.8)-2n / n3.5

.

Can you select a pair of functions of which one is Q of the other? Explain.

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