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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 |
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log5 n3 |
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2n-2 |
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(0.8)-2n |
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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 |
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Can you select a pair of functions of which one is Q of the other? Explain.
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