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Data Structures and Algorithms
Evaluate each of the options for: f(n)= 2 n², g(n) = nlgn, and k(n) = √n³ a) f(n) = O(g(n)) b) f(n)=(k(n)) c) g(n)= O(f(n)) d) k(n)= Omega(g(n))

Evaluate each of the options for: f(n)= 2 n², g(n) = nlgn, and k(n) = √n³ a) f(n) = O(g(n)) b) f(n)=(k(n)) c) g(n)= O(f(n)) d) k(n)= Omega(g(n))

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Evaluate each of the options for: f(n) = 2 n², g(n) = nlgn, and k(n) = √n³ a) f(n) = O(g(n)) b) f(n)=(k(n)) c) g(n) = O(f(n)) d) k(n) = Omega(g(n)) Hw-4 1) Show that n² - n is in O(n²) 2) Show that n³ + n is in 52 (n²). n³ 3) Show that + n²n is in (n³). 4
Transcribed Image Text:Evaluate each of the options for: f(n) = 2 n², g(n) = nlgn, and k(n) = √n³ a) f(n) = O(g(n)) b) f(n)=(k(n)) c) g(n) = O(f(n)) d) k(n) = Omega(g(n)) Hw-4 1) Show that n² - n is in O(n²) 2) Show that n³ + n is in 52 (n²). n³ 3) Show that + n²n is in (n³). 4
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