If f(n) = n^2 log n and g(n) = n^2, then f(n) is what O, Ω or Θ (g(n))
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If f(n) = n^2 log n and g(n) = n^2, then f(n) is what O, Ω or Θ (g(n))
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- Write a program that reads N from the user and compute the following series: (N-1)-((N-2)^2) /8+ ((N-3)^3) /27-....................+1/N^3Show that the following statements are equivalent, where n is an integergreater than or equal to 2. “n is even” and “n – 1 is odd”2. “n is even” and “n2 is even”3. “n – 1 is odd” and “n2 is even”Assume that for any integer n is greater than or equal to one prove or disprove the following a)n^2 − n + 1 is O(n) b)5^n is O(4^n) c) n(log(n))^4 is O(n^4/3)
- Prove the following: a. [(a mod n) - (b mod n)] mod n = (a - b) mod n b. [(a mod n) * (b mod n)] mod n = (a * b) mod nShow that log(n!) = O(n log(n))please answer the following A) d(n) is O(F(n)) and f(n) is O(g(n) ) show that d(n) is O(g(n)) B) show that n^3 long is omega(n^3) C) show that (summation symbol) n, i = 1 i^2 is O(n^3)