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1. (5 pts total, 1 pt each) For each of the following pairs of functions f(n) and g(n), determine only one of f(n) = O(g(n))

1. (5 pts total, 1 pt each) For each of the following pairs of functions f(n) and g(n), determine only one of f(n) = O(g(n)), f(n) = (g(n)), or f(n) =(g(n)). If f(n) =(g(n)), then do not choose f(n) = O(g(n)) or f(n) = (g(n)).

  1. f(n) = 5n9, g(n) =(7n5 + 5n4)/9
  2. f(n) = log6 (n7), g(n) = log7 (n6)
  3. f(n) = 5n, g(n) =7n
  4. f(n) = 9 log 8 n, g(n) = 9 log 4 n
  5. f(n) =7 n3+4n + 3 n2, g(n) = 6 n2 + 5 n

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