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7. Time Complexity and P/NP a. Show that f₁(n) = (3+logn) (n²-n) = 0 (n² logn). Include a relevant graph. b. Find a function g(n) such that f2 (n) = 0(g(n)) such that f₂ (n) = log n". c. Show that f2(n) # 0(logn).

7. Time Complexity and P/NP a. Show that f₁(n) = (3+logn) (n²-n) = 0 (n² logn). Include a relevant graph. b. Find a function g(n) such that f2 (n) = 0(g(n)) such that f₂ (n) = log n". c. Show that f2(n) # 0(logn).

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7. Time Complexity and P/NP Show that f, (n) = (3 + log n)(n2 -n) = 0(n² logn). Include a relevant graph. b. Find a function g(n) such that f2(n) = 0(g(n)) such that f2 (n) = log n". c. Show that f2(n) # 0(log n).
Transcribed Image Text:7. Time Complexity and P/NP Show that f, (n) = (3 + log n)(n2 -n) = 0(n² logn). Include a relevant graph. b. Find a function g(n) such that f2(n) = 0(g(n)) such that f2 (n) = log n". c. Show that f2(n) # 0(log n).
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